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Schäfer R, Placke B, Benton O, Moessner R. Abundance of Hard-Hexagon Crystals in the Quantum Pyrochlore Antiferromagnet. PHYSICAL REVIEW LETTERS 2023; 131:096702. [PMID: 37721813 DOI: 10.1103/physrevlett.131.096702] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/25/2022] [Accepted: 07/22/2023] [Indexed: 09/20/2023]
Abstract
We propose a simple family of valence-bond crystals as potential ground states of the S=1/2 and S=1 Heisenberg antiferromagnet on the pyrochlore lattice. Exponentially numerous in the linear size of the system, these can be visualized as hard-hexagon coverings, with each hexagon representing a resonating valence-bond ring. This ensemble spontaneously breaks rotation, inversion, and translation symmetries. A simple, yet accurate, variational wave function allows a precise determination of the energy, confirmed by the density matrix renormalization group and numerical linked cluster expansion, and extended by an analysis of excited states. The identification of the origin of the stability indicates applicability to a broad class of frustrated lattices, which we demonstrate for the checkerboard and ruby lattices. Our work suggests a perspective on such quantum magnets, in which unfrustrated motifs are effectively uncoupled by the frustration of their interactions.
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Affiliation(s)
- Robin Schäfer
- Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany
| | - Benedikt Placke
- Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany
| | - Owen Benton
- Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany
| | - Roderich Moessner
- Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany
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2
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Xu M, Kendrick LH, Kale A, Gang Y, Ji G, Scalettar RT, Lebrat M, Greiner M. Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator. Nature 2023; 620:971-976. [PMID: 37532942 DOI: 10.1038/s41586-023-06280-5] [Citation(s) in RCA: 9] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/28/2022] [Accepted: 06/02/2023] [Indexed: 08/04/2023]
Abstract
Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids1-3. Promising candidate materials for such phases4-6 can be described by the Hubbard model on an anisotropic triangular lattice, a paradigmatic model capturing the interplay between strong correlations and magnetic frustration7-11. However, the fate of frustrated magnetism in the presence of itinerant dopants remains unclear, as well as its connection to the doped phases of the square Hubbard model12. Here we investigate the local spin order of a Hubbard model with controllable frustration and doping, using ultracold fermions in anisotropic optical lattices continuously tunable from a square to a triangular geometry. At half-filling and strong interactions U/t ≈ 9, we observe at the single-site level how frustration reduces the range of magnetic correlations and drives a transition from a collinear Néel antiferromagnet to a short-range correlated 120° spiral phase. Away from half-filling, the triangular limit shows enhanced antiferromagnetic correlations on the hole-doped side and a reversal to ferromagnetic correlations at particle dopings above 20%, hinting at the role of kinetic magnetism in frustrated systems. This work paves the way towards exploring possible chiral ordered or superconducting phases in triangular lattices8,13 and realizing t-t' square lattice Hubbard models that may be essential to describe superconductivity in cuprate materials14.
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Affiliation(s)
- Muqing Xu
- Department of Physics, Harvard University, Cambridge, MA, USA
| | | | - Anant Kale
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Youqi Gang
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Geoffrey Ji
- Department of Physics, Harvard University, Cambridge, MA, USA
| | | | - Martin Lebrat
- Department of Physics, Harvard University, Cambridge, MA, USA
| | - Markus Greiner
- Department of Physics, Harvard University, Cambridge, MA, USA.
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3
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Kundu S, Shahee A, Chakraborty A, Ranjith KM, Koo B, Sichelschmidt J, Telling MTF, Biswas PK, Baenitz M, Dasgupta I, Pujari S, Mahajan AV. Gapless Quantum Spin Liquid in the Triangular System Sr_{3}CuSb_{2}O_{9}. PHYSICAL REVIEW LETTERS 2020; 125:267202. [PMID: 33449718 DOI: 10.1103/physrevlett.125.267202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2020] [Accepted: 12/01/2020] [Indexed: 06/12/2023]
Abstract
We report gapless quantum spin liquid behavior in the layered triangular Sr_{3}CuSb_{2}O_{9} system. X-ray diffraction shows superlattice reflections associated with atomic site ordering into triangular Cu planes well separated by Sb planes. Muon spin relaxation measurements show that the S=1/2 moments at the magnetically active Cu sites remain dynamic down to 65 mK in spite of a large antiferromagnetic exchange scale evidenced by a large Curie-Weiss temperature θ_{CW}≃-143 K as extracted from the bulk susceptibility. Specific heat measurements also show no sign of long-range order down to 0.35 K. The magnetic specific heat (C_{m}) below 5 K reveals a C_{m}=γT+αT^{2} behavior. The significant T^{2} contribution to the magnetic specific heat invites a phenomenology in terms of the so-called Dirac spinon excitations with a linear dispersion. From the low-T specific heat data, we estimate the dominant exchange scale to be ∼36 K using a Dirac spin liquid ansatz which is not far from the values inferred from microscopic density functional theory calculations (∼45 K) as well as high-temperature susceptibility analysis (∼70 K). The linear specific heat coefficient is about 18 mJ/mol K^{2} which is somewhat larger than for typical Fermi liquids.
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Affiliation(s)
- S Kundu
- Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - Aga Shahee
- Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - Atasi Chakraborty
- School of Physical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - K M Ranjith
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - B Koo
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - Jörg Sichelschmidt
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - Mark T F Telling
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX110QX, United Kingdom
| | - P K Biswas
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX110QX, United Kingdom
| | - M Baenitz
- Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany
| | - I Dasgupta
- School of Physical Sciences, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India
| | - Sumiran Pujari
- Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
| | - A V Mahajan
- Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India
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4
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Hirai D, Yajima T, Nawa K, Kawamura M, Hiroi Z. Anisotropic Triangular Lattice Realized in Rhenium Oxychlorides A 3ReO 5Cl 2 (A = Ba, Sr). Inorg Chem 2020; 59:10025-10033. [PMID: 32584564 DOI: 10.1021/acs.inorgchem.0c01187] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We report the synthesis, crystal structure, and magnetic properties of the two new quantum antiferromagnets A3ReO5Cl2 (A = Sr, Ba). The crystal structure is isostructural with the mineral pinalite Pb3WO5Cl2, in which the Re6+ ion is square pyramidally coordinated by five oxide atoms and forms an anisotropic triangular lattice (ATL) made of S = 1/2 spins. The magnetic interactions J and J' in the ATL are estimated from magnetic susceptibilities to be 19.5 (44.9) and 9.2 (19.3) K, respectively, with J'/J = 0.47 (0.43) for A = Ba (Sr). For each compound, the heat capacity at low temperatures shows a large T-linear component with no signature of long-range magnetic order above 2 K, which suggests a gapless spin liquid state of one-dimensional character of the J chains in spite of the significantly large J' couplings. This is a consequence of one-dimensionalization by geometrical frustration in the ATL magnet; a similar phenomenon has been observed in two compounds with slightly smaller J'/J values: Cs2CuCl4 (J'/J = 0.3) and the related compound Ca3ReO5Cl2 (0.32). Our findings demonstrate that 5d mixed-anion compounds provide a unique opportunity to explore novel quantum magnetism.
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Affiliation(s)
- Daigorou Hirai
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Takeshi Yajima
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Kazuhiro Nawa
- Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, 2-1-1 Katahira, Sendai 980-8577, Japan
| | - Mitsuaki Kawamura
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Zenji Hiroi
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
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5
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Dally RL, Chisnell R, Harriger L, Liu Y, Lynn JW, Wilson SD. Thermal evolution of quasi-one-dimensional spin correlations within the anisotropic triangular lattice of α - NaMnO 2 . PHYSICAL REVIEW. B 2018; 98:10.1103/PhysRevB.98.144444. [PMID: 38903934 PMCID: PMC11187984 DOI: 10.1103/physrevb.98.144444] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/22/2024]
Abstract
Magnetic order on the spatially anisotropic triangular lattice of α - NaMnO 2 is studied via neutron diffraction measurements. The transition into a commensurate, collinear antiferromagnetic ground state with k = ( 0.5 , 0.5 , 0 ) was found to occur belowT N = 22 K . Above this temperature, the transition is preceded by the formation of a coexisting, short-range ordered, incommensurate state belowT IC = 45 K whose two-dimensional propagation vector evolves toward k = ( 0.5 , 0.5 ) as the temperature approachesT N . At high temperatures( T > T IC ) , quasielastic scattering reveals one-dimensional spin correlations along the nearest-neighbor Mn-Mn "chain direction" of the MnO6 planes. Our data are consistent with the predictions of a mean-field model of Ising-like spins on an anisotropic triangular lattice, as well as the predominantly one-dimensional Heisenberg spin Hamiltonian reported for this material.
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Affiliation(s)
- Rebecca L. Dally
- Materials Department, University of California, Santa Barbara, California 93106-5050, USA
| | - Robin Chisnell
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Leland Harriger
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Yaohua Liu
- Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Jeffrey W. Lynn
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Stephen D. Wilson
- Materials Department, University of California, Santa Barbara, California 93106-5050, USA
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6
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Ito S, Kurita N, Tanaka H, Ohira-Kawamura S, Nakajima K, Itoh S, Kuwahara K, Kakurai K. Structure of the magnetic excitations in the spin-1/2 triangular-lattice Heisenberg antiferromagnet Ba 3CoSb 2O 9. Nat Commun 2017; 8:235. [PMID: 28794443 PMCID: PMC5550445 DOI: 10.1038/s41467-017-00316-x] [Citation(s) in RCA: 62] [Impact Index Per Article: 8.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2017] [Accepted: 06/16/2017] [Indexed: 11/09/2022] Open
Abstract
A spin-1/2 triangular-lattice Heisenberg antiferromagnet (TLHAF) is a prototypical frustrated quantum magnet, which exhibits remarkable quantum many-body effects that arise from the synergy between spin frustration and quantum fluctuation. The ground-state properties of a spin-1/2 TLHAF are theoretically well understood. However, the theoretical consensus regarding the magnetic excitations is limited. The experimental study of the magnetic excitations in spin-1/2 TLHAFs has also been limited. Here we show the structure of magnetic excitations in the spin-1/2 TLHAF Ba3CoSb2O9 investigated by inelastic neutron scattering. Significantly different from theoretical expectations, the excitation spectrum has a three-stage energy structure. The lowest-energy first stage is composed of dispersion branches of single-magnon excitations. The second and third stages are dispersive continua accompanied by a columnar continuum extending above 10 meV, which is six times larger than the exchange interaction J = 1.67 meV. Our results indicate the shortcomings of the current theoretical framework. Two-dimensional frustrated magnets are heavily studied because theories predict that quantum effects may lead to the emergence of fractionalized excitations. Ito et al. use inelastic neutron scattering to show that the excitation spectrum of Ba3CoSb2O9 disagrees with current theoretical expectations.
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Affiliation(s)
- Saya Ito
- Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan
| | - Nobuyuki Kurita
- Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan
| | - Hidekazu Tanaka
- Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8551, Japan.
| | - Seiko Ohira-Kawamura
- Materials and Life Science Division, J-PARC Center, Tokai, Ibaraki, 319-1195, Japan
| | - Kenji Nakajima
- Materials and Life Science Division, J-PARC Center, Tokai, Ibaraki, 319-1195, Japan
| | - Shinichi Itoh
- Neutron Science Division, Institute of Materials Structure Science, High Energy Accelerator Research Organization, Tsukuba, Ibaraki, 305-0801, Japan
| | - Keitaro Kuwahara
- Institute of Quantum Beam Science, Ibaraki University, Mito, 310-8512, Japan
| | - Kazuhisa Kakurai
- Comprehensive Research Organization for Science and Society (CROSS), Tokai, Ibaraki, 319-1106, Japan
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7
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Li Y, Adroja D, Biswas PK, Baker PJ, Zhang Q, Liu J, Tsirlin AA, Gegenwart P, Zhang Q. Muon Spin Relaxation Evidence for the U(1) Quantum Spin-Liquid Ground State in the Triangular Antiferromagnet YbMgGaO_{4}. PHYSICAL REVIEW LETTERS 2016; 117:097201. [PMID: 27610879 DOI: 10.1103/physrevlett.117.097201] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2016] [Indexed: 06/06/2023]
Abstract
Muon spin relaxation (μSR) experiments on single crystals of the structurally perfect triangular antiferromagnet YbMgGaO_{4} indicate the absence of both static long-range magnetic order and spin freezing down to 0.048 K in a zero field. Below 0.4 K, the μ^{+} spin relaxation rates, which are proportional to the dynamic correlation function of the Yb^{3+} spins, exhibit temperature-independent plateaus. All these μSR results unequivocally support the formation of a gapless U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO_{4}.
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Affiliation(s)
- Yuesheng Li
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Devashibhai Adroja
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
- Highly Correlated Matter Research Group, Physics Department, University of Johannesburg, P.O. Box 524, Auckland Park 2006, South Africa
| | - Pabitra K Biswas
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Peter J Baker
- ISIS Pulsed Neutron and Muon Source, STFC Rutherford Appleton Laboratory, Harwell Campus, Didcot, Oxfordshire OX11 0QX, United Kingdom
| | - Qian Zhang
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
| | - Juanjuan Liu
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
| | - Alexander A Tsirlin
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Philipp Gegenwart
- Experimental Physics VI, Center for Electronic Correlations and Magnetism, University of Augsburg, 86159 Augsburg, Germany
| | - Qingming Zhang
- Department of Physics, Renmin University of China, Beijing 100872, People's Republic of China
- Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, People's Republic of China
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8
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Guo YP, Liu ZQ, Xu YL, Kong XM. Exactly solvable antiferromagnetic Blume-Capel model on a sawtooth chain. Phys Rev E 2016; 93:052151. [PMID: 27300873 DOI: 10.1103/physreve.93.052151] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2016] [Indexed: 11/07/2022]
Abstract
The geometrically frustrated spin-1 Blume-Capel model on an infinite sawtooth chain is exactly solved by the transfer matrix method. The magnetization, ground-state phase diagram, magnetocaloric properties, and specific heat of the system are investigated. The results indicate that: (i) Magnetization plateaus appear at zero temperature. Their number depends on the sign of the crystal field D. For D≥0 there are two magnetization plateaus; however, for D<0 five plateaus exist. At a finite temperature, thermal excitation will destroy these plateaus completely. (ii) Phase transition between any two long-range-ordered ground states, whose spin configurations are given in phase diagram, is the first-order one. The macroscopic degeneracy of the ground states described by the entropy only exists at phase coexistence points. (iii) As temperature approaches zero, magnetocaloric properties and entropy change sharply near phase coexistence points. (iv) The crossovers of the specific heat from a single-peak structure to double-peak ones can signal the phase coexistence points in ground-state phase diagram.
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Affiliation(s)
- Yan-Ping Guo
- College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
| | - Zhong-Qiang Liu
- College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
| | - Yu-Liang Xu
- College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
| | - Xiang-Mu Kong
- College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
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9
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Liu M, Zhang H, Huang X, Ma C, Dong S, Liu JM. Two-Step Antiferromagnetic Transitions and Ferroelectricity in Spin-1 Triangular-Lattice Antiferromagnetic Sr3NiTa2O9. Inorg Chem 2016; 55:2709-16. [PMID: 26934503 DOI: 10.1021/acs.inorgchem.5b02270] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Abstract
We report the low-temperature characterizations on structural, specific heat, magnetic, and ferroelectric behaviors of transition metal oxide compound Sr3NiTa2O9. It is suggested that Sr3NiTa2O9 is a spin-1 triangular lattice Heisenberg quantum antiferromagnet which may have weak easy-axis anisotropy. At zero magnetic field, a two-step transition sequence at T(N1) = 3.35 K and T(N2) = 2.74 K, respectively, is observed, corresponding to the up-up-down (uud) spin ordering and 120° spin ordering, respectively. The two transition points shift gradually with increasing magnetic field toward the low temperature, accompanying an evolution from the 120° spin structure (phase) to the normal oblique phases. Ferroelectricity in the 120° phase is clearly identified. The first-principles calculations confirm the 120° phase as the ground state whose ferroelectricity originates mainly from the electronic polarization.
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Affiliation(s)
- Meifeng Liu
- Laboratory of Solid State Microstructures and Innovative Center of Advanced Microstructures, Nanjing University , Nanjing 210093, China
| | - Huimin Zhang
- Department of Physics, Southeast University , Nanjing 211189, China
| | - Xin Huang
- Department of Physics, Southeast University , Nanjing 211189, China
| | - Chunyang Ma
- Laboratory of Solid State Microstructures and Innovative Center of Advanced Microstructures, Nanjing University , Nanjing 210093, China
| | - Shuai Dong
- Department of Physics, Southeast University , Nanjing 211189, China
| | - Jun-Ming Liu
- Laboratory of Solid State Microstructures and Innovative Center of Advanced Microstructures, Nanjing University , Nanjing 210093, China.,Institute for Advanced Materials and Laboratory of Quantum Engineering and Materials, South China Normal University , Guangzhou 510006, China
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10
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Gapless quantum spin liquid ground state in the two-dimensional spin-1/2 triangular antiferromagnet YbMgGaO4. Sci Rep 2015; 5:16419. [PMID: 26552727 PMCID: PMC4639809 DOI: 10.1038/srep16419] [Citation(s) in RCA: 170] [Impact Index Per Article: 18.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/16/2015] [Accepted: 10/09/2015] [Indexed: 11/09/2022] Open
Abstract
Quantum spin liquid (QSL) is a novel state of matter which refuses the conventional spin freezing even at 0 K. Experimentally searching for the structurally perfect candidates is a big challenge in condensed matter physics. Here we report the successful synthesis of a new spin-1/2 triangular antiferromagnet YbMgGaO4 with symmetry. The compound with an ideal two-dimensional and spatial isotropic magnetic triangular-lattice has no site-mixing magnetic defects and no antisymmetric Dzyaloshinsky-Moriya (DM) interactions. No spin freezing down to 60 mK (despite θw ~ −4 K), the power-law temperature dependence of heat capacity and nonzero susceptibility at low temperatures suggest that YbMgGaO4 is a promising gapless (≤|θw|/100) QSL candidate. The residual spin entropy, which is accurately determined with a non-magnetic reference LuMgGaO4, approaches zero (<0.6%). This indicates that the possible QSL ground state (GS) of the frustrated spin system has been experimentally achieved at the lowest measurement temperatures.
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11
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Chernyshev AL, Zhitomirsky ME. Quantum selection of order in an XXZ antiferromagnet on a Kagome lattice. PHYSICAL REVIEW LETTERS 2014; 113:237202. [PMID: 25526152 DOI: 10.1103/physrevlett.113.237202] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2014] [Indexed: 06/04/2023]
Abstract
Selection of the ground state of the kagome-lattice XXZ antiferromagnet by quantum fluctuations is investigated by combining nonlinear spin-wave and real-space perturbation theories. The two methods unanimously favor q=0 over sqrt[3]×sqrt[3] magnetic order in a wide range of the anisotropy parameter 0≤Δ≲0.72. Both approaches are also in accord on the magnitude of the quantum order-by-disorder effect generated by topologically nontrivial, looplike spin-flip processes. A tentative S-Δ phase diagram of the model is proposed.
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Affiliation(s)
- A L Chernyshev
- Department of Physics and Astronomy, University of California, Irvine, California 92697, USA
| | - M E Zhitomirsky
- Service de Physique Statistique, Magnétisme et Supraconductivité, UMR-E9001 CEA-INAC/UJF, 17 rue des Martyrs, 38054 Grenoble Cedex 9, France
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12
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Transition-metal distribution in kagome antiferromagnet CoCu3(OH)6Cl2 revealed by resonant X-ray diffraction. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.03.038] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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13
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Shirata Y, Tanaka H, Matsuo A, Kindo K. Experimental realization of a spin-1/2 triangular-lattice Heisenberg antiferromagnet. PHYSICAL REVIEW LETTERS 2012; 108:057205. [PMID: 22400958 DOI: 10.1103/physrevlett.108.057205] [Citation(s) in RCA: 61] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2011] [Indexed: 05/31/2023]
Abstract
We report the results of magnetization and specific heat measurements on Ba{3}CoSb{2}O{9}, in which the magnetic Co{2+} ion has a fictitious spin 1/2, and provide evidence that a spin-1/2 Heisenberg antiferromagnet on a regular triangular lattice is actually realized in Ba{3}CoSb{2}O{9}. We found that the entire magnetization curve including the one-third quantum magnetization plateau is in excellent quantitative agreement with the results of theoretical calculations. We also found that Ba{3}CoSb{2}O{9} undergoes a three-step transition within a narrow temperature range.
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Affiliation(s)
- Yutaka Shirata
- Department of Physics, Tokyo Institute of Technology, Meguro-ku, Tokyo 152-8551, Japan
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14
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Helton JS, Chen Y, Bychkov GL, Barilo SN, Rogado N, Cava RJ, Lynn JW. Evolution of the commensurate and incommensurate magnetic phases of the S = 3/2 kagome staircase Co₃V₂O₈ in an applied field. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2012; 24:016003. [PMID: 22155985 DOI: 10.1088/0953-8984/24/1/016003] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
Single crystal neutron diffraction studies have been performed on the S = 3/2 kagome staircase compound Co(3)V(2)O(8) with a magnetic field applied along the magnetization easy-axis ([Formula: see text]). Previous zero-field measurements (Chen Y et al 2006 Phys. Rev. B 74 014430) reported a rich variety of magnetic phases, with a ferromagnetic ground state as well as incommensurate, transversely polarized spin density wave (SDW) phases (with a propagation vector of [Formula: see text]) interspersed with multiple commensurate lock-in transitions. The magnetic phase diagram with [Formula: see text] adds further complexity. For small applied fields, μ(0)H ≈ 0.05 T, the commensurate lock-in phases are destabilized in favor of the incommensurate SDW ones, while slightly larger applied fields restore the commensurate lock-in phase with δ = 1/2 and yield a new commensurate phase with δ = 2/5. For measurements in an applied field, higher-order scattering is observed that corresponds to the second harmonic.
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Affiliation(s)
- Joel S Helton
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA.
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15
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Wu J, Gangopadhyay AK, Kanjanaboos P, Solin SA. Magnetic properties of S = 1/2 quasi-triangular lattice materials: Cu(2(1-x))Zn(2x)(OH)3NO3/(C7H15COO)·mH2O. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:334211. [PMID: 21386501 DOI: 10.1088/0953-8984/22/33/334211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We have investigated the structural and magnetic properties of two classes of spin S = 1/2 antiferromagnetic quasi-triangular lattice materials: Cu(2(1-x))Zn(2x)(OH)(3)NO(3) (0 ≤ x ≤ 0.65) and its long chain organic derivatives Cu(2(1-x))Zn(2x)(OH)(3)(C(7)H(15)COO)·mH(2)O (0 ≤ x ≤ 0.29). The series of layered structure compounds constitute a substitutional magnetic system, in which spin S = 1/2Cu(2+) ions and nonmagnetic Zn(2+) ions are arranged on a two-dimensional quasi-triangular lattice. For the nitrate compounds we found that the substitution of Zn(2+) ions can continuously decrease the Néel temperature, T(N), but never completely remove the magnetic order. In addition, the frustration effect in these materials is suppressed by a three-dimensional interlayer interaction. On the other hand, the corresponding long chain alkyl carboxylic acid group of intercalated materials, Cu(2(1-x))Zn(2x)(OH)(3)(C(7)H(15)COO)·mH(2)O, show spin-glass-like behavior, which is caused by the interplay of geometric frustration and mixed sign interactions. A tentative explanation for these findings is proposed in terms of a cluster-glass picture.
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Affiliation(s)
- J Wu
- Department of Physics and Center for Materials Innovation, Washington University in St Louis, 1 Brookings Drive, St Louis, MO 63130, USA
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Helton JS, Matan K, Shores MP, Nytko EA, Bartlett BM, Qiu Y, Nocera DG, Lee YS. Dynamic scaling in the susceptibility of the spin-1/2 kagome lattice antiferromagnet herbertsmithite. PHYSICAL REVIEW LETTERS 2010; 104:147201. [PMID: 20481955 DOI: 10.1103/physrevlett.104.147201] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2010] [Revised: 03/11/2010] [Indexed: 05/29/2023]
Abstract
The spin-1/2 kagome lattice antiferromagnet herbertsmithite, ZnCu(3)(OH)(6)Cl(2), is a candidate material for a quantum spin liquid ground state. We show that the magnetic response of this material displays an unusual scaling relation in both the bulk ac susceptibility and the low energy dynamic susceptibility as measured by inelastic neutron scattering. The quantity chiT(alpha) with alpha approximately 0.66 can be expressed as a universal function of H/T or omega/T. This scaling is discussed in relation to similar behavior seen in systems influenced by disorder or by the proximity to a quantum critical point.
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Affiliation(s)
- J S Helton
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Nytko EA, Shores MP, Helton JS, Nocera DG. CdCu3(OH)6(NO3)2: An S = 1/2 Kagomé Antiferromagnet. Inorg Chem 2009; 48:7782-6. [DOI: 10.1021/ic900665j] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Matthew P. Shores
- Department of Chemistry, Colorado State University, Fort Collins, Colorado 80523-1872
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Munehisa T, Munehisa Y. A constrained stochastic state selection method applied to quantum spin systems. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2009; 21:236008. [PMID: 21825605 DOI: 10.1088/0953-8984/21/23/236008] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We describe a further development of the stochastic state selection method, which is a kind of Monte Carlo method we have proposed in order to numerically study large quantum spin systems. In the stochastic state selection method we make a sampling which is simultaneous for many states. This feature enables us to modify the method so that a number of given constraints are satisfied in each sampling. In this paper we discuss this modified stochastic state selection method that will be called the constrained stochastic state selection method in distinction from the previously proposed one (the conventional stochastic state selection method) in this paper. We argue that, by virtue of the constrained sampling, some quantities obtained in each sampling become more reliable, i.e. their statistical fluctuations are less than those from the conventional stochastic state selection method. In numerical calculations of the spin- 1/2 quantum Heisenberg antiferromagnet on a 36-site triangular lattice we explicitly show that data errors in our estimation of the ground state energy are reduced. Then we successfully evaluate several low-lying energy eigenvalues of the model on a 48-site lattice. Our results support that this system can be described by the theory based on the spontaneous symmetry breaking in the semiclassical Néel ordered antiferromagnet.
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Affiliation(s)
- Tomo Munehisa
- Faculty of Engineering, University of Yamanashi, Kofu 400-8511, Japan
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Qi Y, Xu C, Sachdev S. Dynamics and transport of the Z2 spin liquid: application to kappa-(ET)2Cu2(CN)3. PHYSICAL REVIEW LETTERS 2009; 102:176401. [PMID: 19518801 DOI: 10.1103/physrevlett.102.176401] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/06/2008] [Indexed: 05/27/2023]
Abstract
We describe neutron scattering, NMR relaxation, and thermal transport properties of Z2 spin liquids in two dimensions. Comparison to recent experiments on the spin S=1/2 triangular lattice antiferromagnet in kappa-(ET)2Cu2(CN)3 shows that this compound may realize a Z2 spin liquid. We argue that the topological "vison" excitations dominate thermal transport, and that recent thermal conductivity experiments by M. Yamashita et al. have observed the vison gap.
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Affiliation(s)
- Yang Qi
- Department of Physics, Harvard University, Cambridge Massachusetts 02138, USA
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Singh RRP, Rigol M. Thermodynamic properties of Kagome antiferromagnets with different perturbations. ACTA ACUST UNITED AC 2009. [DOI: 10.1088/1742-6596/145/1/012003] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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21
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Pati SK, Rao CNR. Kagome network compounds and their novel magnetic properties. Chem Commun (Camb) 2008:4683-93. [DOI: 10.1039/b807207h] [Citation(s) in RCA: 72] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Rigol M, Bryant T, Singh RRP. Numerical linked-cluster algorithms. I. Spin systems on square, triangular, and kagomé lattices. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2007; 75:061118. [PMID: 17677231 DOI: 10.1103/physreve.75.061118] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/31/2006] [Indexed: 05/16/2023]
Abstract
We discuss recently introduced numerical linked-cluster (NLC) algorithms that allow one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. We present studies of thermodynamic observables for spin models on square, triangular, and kagomé lattices. Results for several choices of clusters and extrapolations methods, that accelerate the convergence of NLCs, are presented. We also include a comparison of NLC results with those obtained from exact analytical expressions (where available), high-temperature expansions (HTE), exact diagonalization (ED) of finite periodic systems, and quantum Monte Carlo simulations. For many models and properties NLC results are substantially more accurate than HTE and ED.
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Affiliation(s)
- Marcos Rigol
- Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA
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Helton JS, Matan K, Shores MP, Nytko EA, Bartlett BM, Yoshida Y, Takano Y, Suslov A, Qiu Y, Chung JH, Nocera DG, Lee YS. Spin dynamics of the spin-1/2 kagome lattice antiferromagnet ZnCu3(OH)6Cl2. PHYSICAL REVIEW LETTERS 2007; 98:107204. [PMID: 17358563 DOI: 10.1103/physrevlett.98.107204] [Citation(s) in RCA: 75] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/19/2006] [Indexed: 05/14/2023]
Abstract
We have performed thermodynamic and neutron scattering measurements on the S=1/2 kagomé lattice antiferromagnet ZnCu3(OH)6Cl2. The susceptibility indicates a Curie-Weiss temperature of theta CW approximately = -300 K; however, no magnetic order is observed down to 50 mK. Inelastic neutron scattering reveals a spectrum of low energy spin excitations with no observable gap down to 0.1 meV. The specific heat at low-T follows a power law temperature dependence. These results suggest that an unusual spin liquid state with essentially gapless excitations is realized in this kagomé lattice system.
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Affiliation(s)
- J S Helton
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Rigol M, Bryant T, Singh RRP. Numerical linked-cluster approach to quantum lattice models. PHYSICAL REVIEW LETTERS 2006; 97:187202. [PMID: 17155572 DOI: 10.1103/physrevlett.97.187202] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/15/2006] [Indexed: 05/12/2023]
Abstract
We present a novel algorithm that allows one to obtain temperature dependent properties of quantum lattice models in the thermodynamic limit from exact diagonalization of small clusters. Our numerical linked-cluster approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. Unlike high temperature expansions, which have a finite radius of convergence in inverse temperature, these calculations are accurate at all temperatures provided the range of correlations is finite. We illustrate the power of our approach studying spin models on kagomé, triangular, and square lattices.
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Affiliation(s)
- Marcos Rigol
- Department of Physics, University of California, Davis, California 95616, USA
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Zheng W, Fjaerestad JO, Singh RRP, McKenzie RH, Coldea R. Anomalous excitation spectra of frustrated quantum antiferromagnets. PHYSICAL REVIEW LETTERS 2006; 96:057201. [PMID: 16486972 DOI: 10.1103/physrevlett.96.057201] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/17/2005] [Indexed: 05/06/2023]
Abstract
We use series expansions to study the excitation spectra of spin-1/2 antiferromagnets on anisotropic triangular lattices. For the isotropic triangular lattice model (TLM), the high-energy spectra show several anomalous features that differ strongly from linear spin-wave theory (LSWT). Even in the Néel phase, the deviations from LSWT increase sharply with frustration, leading to rotonlike minima at special wave vectors. We argue that these results can be interpreted naturally in a spinon language and provide an explanation for the previously observed anomalous finite-temperature properties of the TLM. In the coupled-chains limit, quantum renormalizations strongly enhance the one-dimensionality of the spectra, in agreement with experiments on Cs2CuCl4.
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Affiliation(s)
- Weihong Zheng
- School of Physics, The University of New South Wales, Sydney, NSW 2052, Australia
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Pati SK, Rao CNR. Role of the spin magnitude of the magnetic ion in determining the frustration and low-temperature properties of kagome lattices. J Chem Phys 2005; 123:234703. [PMID: 16392940 DOI: 10.1063/1.2136873] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In view of the variety of low-temperature magnetic properties reported recently for kagome lattices with transition-metal ions in different oxidation states, we have investigated the low-energy spectrum and low-temperature thermodynamic properties of antiferromagnetic kagome lattices with varying magnitudes of site spins, employing quantum many-body Heisenberg models. The ground state and the low-lying excitation spectrum are found to depend strongly on the nature of the spin magnitude of the magnetic ions. The system remains highly frustrated if spins are half-odd-integer in magnitude, while the frustration is very weak or almost absent for integer spins or mixed-spin systems. In fact, for a mixed-spin kagome system with a certain magnitude, the whole system behaves as a classical magnet with a ferrimagnetic ground state without any frustration. These theoretical findings are consistent with a few experimental observations recently reported in the literature and would be of value in designing new kagome systems with unusual and interesting low-temperature magnetic properties.
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Affiliation(s)
- Swapan K Pati
- Theoretical Sciences Unit and Chemistry and Physics of Materials Unit, Jawharlal Nehru Center for Advanced Scientific Research, Jakkur Campus, Bangalore 560 064, India.
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Drzewinski A, Dekeyser R. Specific heat of the quantum Heisenberg antiferromagnet by a renormalization-group approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:15875-15881. [PMID: 9985656 DOI: 10.1103/physrevb.54.15875] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Schiffer P, Ramirez AP, Franklin KN, Cheong SW. Interaction-Induced Spin Coplanarity in a Kagomé Magnet: SrCr9pGa 12-9pO19. PHYSICAL REVIEW LETTERS 1996; 77:2085-2088. [PMID: 10061853 DOI: 10.1103/physrevlett.77.2085] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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31
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Deaven DM, Rokhsar DS. Variational evidence for spin liquids in frustrated lattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:14966-14970. [PMID: 9983290 DOI: 10.1103/physrevb.53.14966] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Côté R, MacDonald AH. Spin-ordering and magnon collective modes for two-dimensional electron lattices in strong magnetic fields. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:10019-10029. [PMID: 9982567 DOI: 10.1103/physrevb.53.10019] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zeng C, Staples I, Bishop RF. Quantum phase transition in square- and triangular-lattice spin-1/2 antiferromagnets. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:9168-9171. [PMID: 9982418 DOI: 10.1103/physrevb.53.9168] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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35
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Boninsegni M. Ground state of a triangular quantum antiferromagnet: Fixed-node Green-function Monte Carlo study. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:15304-15311. [PMID: 9980886 DOI: 10.1103/physrevb.52.15304] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Nakamura T, Miyashita S. Thermodynamic properties of the quantum Heisenberg antiferromagnet on the kagomé lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:9174-9177. [PMID: 9979953 DOI: 10.1103/physrevb.52.9174] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zhu X, Louie SG. Variational quantum Monte Carlo study of two-dimensional Wigner crystals: Exchange, correlation, and magnetic-field effects. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:5863-5884. [PMID: 9981777 DOI: 10.1103/physrevb.52.5863] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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38
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Chitra R, Rao S, Sen D, Rao SS. Bosonic mean-field theory for frustrated Heisenberg antiferromagnets in two dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:1061-1069. [PMID: 9980683 DOI: 10.1103/physrevb.52.1061] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Mattsson A. Spin dynamics of the triangular Heisenberg antiferromagnet: A Schwinger-boson approach. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:11574-11579. [PMID: 9977891 DOI: 10.1103/physrevb.51.11574] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Zeng C, Elser V. Quantum dimer calculations on the spin-1/2 kagome-acute Heisenberg antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:8318-8324. [PMID: 9977441 DOI: 10.1103/physrevb.51.8318] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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41
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Uemura YJ, Keren A, Kojima K, Le LP, Luke GM, Wu WD, Ajiro Y, Asano T, Kuriyama Y, Mekata M, Kikuchi H, Kakurai K. Spin fluctuations in frustrated kagomé lattice system SrCr8Ga4O19 studied by muon spin relaxation. PHYSICAL REVIEW LETTERS 1994; 73:3306-3309. [PMID: 10057343 DOI: 10.1103/physrevlett.73.3306] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bernu B, Lecheminant P, Lhuillier C, Pierre L. Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:10048-10062. [PMID: 9975088 DOI: 10.1103/physrevb.50.10048] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Elstner N, Young AP. Spin-1/2 Heisenberg antiferromagnet on the kagome-acute lattice: High-temperature expansion and exact-diagonalization studies. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:6871-6876. [PMID: 9974644 DOI: 10.1103/physrevb.50.6871] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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O'Donnell CL, Ko DY. Effects of vacancies in the triangular spin-1/2 antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:6802-6807. [PMID: 9974633 DOI: 10.1103/physrevb.50.6802] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Sindzingre P, Lecheminant P, Lhuillier C. Investigation of different classes of variational functions for the triangular and kagome-acute spin-1/2 Heisenberg antiferromagnets. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:3108-3113. [PMID: 9976557 DOI: 10.1103/physrevb.50.3108] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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47
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Keren A. Dynamical simulation of spins on kagomé and square lattices. PHYSICAL REVIEW LETTERS 1994; 72:3254-3257. [PMID: 10056146 DOI: 10.1103/physrevlett.72.3254] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Ercolessi E, Morandi G, Tagliacozzo A. Fluctuations around the magnetic and nonmagnetic saddle points in the two-dimensional spin-1/2 frustrated Heisenberg model. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:10908-10913. [PMID: 10009933 DOI: 10.1103/physrevb.49.10908] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Huang MZ, Ching WY. Electronic and transport properties of perfect sp2-bonded amorphous graphitic carbon. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:4987-4992. [PMID: 10011433 DOI: 10.1103/physrevb.49.4987] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Elser V, Zeng C. Kagome-acute spin-1/2 antiferromagnets in the hyperbolic plane. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:13647-13653. [PMID: 10007765 DOI: 10.1103/physrevb.48.13647] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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