1
|
Omnidirectional flat bands in chiral magnonic crystals. Sci Rep 2022; 12:17831. [PMID: 36284121 PMCID: PMC9596476 DOI: 10.1038/s41598-022-20539-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/06/2022] [Accepted: 09/14/2022] [Indexed: 11/08/2022] Open
Abstract
The magnonic band structure of two-dimensional chiral magnonic crystals is theoretically investigated. The proposed metamaterial involves a three-dimensional architecture, where a thin ferromagnetic layer is in contact with a two-dimensional periodic array of heavy-metal square islands. When these two materials are in contact, an anti-symmetric exchange coupling known as the Dzyaloshinskii–Moriya interaction (DMI) arises, which generates nonreciprocal spin waves and chiral magnetic order. The Landau–Lifshitz equation and the plane-wave method are employed to study the dynamic magnetic behavior. A systematic variation of geometric parameters, the DMI constant, and the filling fraction allows the examination of spin-wave propagation features, such as the spatial profiles of the dynamic magnetization, the isofrequency contours, and group velocities. In this study, it is found that omnidirectional flat magnonic bands are induced by a sufficiently strong Dzyaloshinskii–Moriya interaction underneath the heavy-metal islands, where the spin excitations are active. The theoretical results were substantiated by micromagnetic simulations. These findings are relevant for envisioning applications associated with spin-wave-based logic devices, where the nonreciprocity and channeling of the spin waves are of fundamental and practical scientific interest.
Collapse
|
2
|
Changlani HJ, Kochkov D, Kumar K, Clark BK, Fradkin E. Macroscopically Degenerate Exactly Solvable Point in the Spin-1/2 Kagome Quantum Antiferromagnet. PHYSICAL REVIEW LETTERS 2018; 120:117202. [PMID: 29601762 DOI: 10.1103/physrevlett.120.117202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2017] [Indexed: 06/08/2023]
Abstract
Frustrated quantum magnets are a central theme in condensed matter physics due to the richness of their phase diagrams. They support a panoply of phases including various ordered states and topological phases. Yet, this problem has defied a solution for a long time due to the lack of controlled approximations which make it difficult to distinguish between competing phases. Here we report the discovery of a special quantum macroscopically degenerate point in the XXZ model on the spin-1/2 kagome quantum antiferromagnet for the ratio of Ising to antiferromagnetic transverse coupling J_{z}/J=-1/2. This point is proximate to many competing phases explaining the source of the complexity of the phase diagram. We identify five phases near this point including both spin-liquid and broken-symmetry phases and give evidence that the kagome Heisenberg antiferromagnet is close to a transition between two phases.
Collapse
Affiliation(s)
- Hitesh J Changlani
- Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA
- Institute for Quantum Matter, Johns Hopkins University, Baltimore, Maryland 21218, USA
- Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana Illinois 61801, USA
| | - Dmitrii Kochkov
- Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana Illinois 61801, USA
| | - Krishna Kumar
- Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana Illinois 61801, USA
| | - Bryan K Clark
- Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana Illinois 61801, USA
| | - Eduardo Fradkin
- Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana Illinois 61801, USA
| |
Collapse
|
3
|
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.
Collapse
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
| |
Collapse
|
4
|
Ground state of a spin system with two- and four-spin exchange interactions on the triangular lattice. ACTA ACUST UNITED AC 2014. [DOI: 10.1007/s002570050403] [Citation(s) in RCA: 44] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
|
5
|
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]
|
6
|
Chern GW, Moessner R. Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice. PHYSICAL REVIEW LETTERS 2013; 110:077201. [PMID: 25166398 DOI: 10.1103/physrevlett.110.077201] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2012] [Indexed: 06/03/2023]
Abstract
Ever since the experiments which founded the field of highly frustrated magnetism, the kagome Heisenberg antiferromagnet has been the archetypical setting for the study of fluctuation induced exotic ordering. To this day the nature of its classical low-temperature state has remained a mystery: the nonlinear nature of the fluctuations around the exponentially numerous harmonically degenerate ground states has not permitted a controlled theory, while its complex energy landscape has precluded numerical simulations at low temperature, T. Here we present an efficient Monte Carlo algorithm which removes the latter obstacle. Our simulations detect a low-temperature regime in which correlations asymptote to a remarkably small value as T→0. Feeding these results into an effective model and analyzing the results in the framework of an appropriate field theory implies the presence of long-range dipolar spin order with a tripled unit cell.
Collapse
Affiliation(s)
- Gia-Wei Chern
- Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA and Department of Physics, University of Wisconsin, Madison, Wisconsin 53706, USA
| | - R Moessner
- Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
| |
Collapse
|
7
|
Depenbrock S, McCulloch IP, Schollwöck U. Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice. PHYSICAL REVIEW LETTERS 2012; 109:067201. [PMID: 23006298 DOI: 10.1103/physrevlett.109.067201] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/22/2012] [Indexed: 06/01/2023]
Abstract
We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16,000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions, and finite topological entanglement γ consistent with γ=log(2)2, ruling out gapless, chiral, or nontopological spin liquids in favor of a topological spin liquid of quantum dimension 2, with strong evidence for a gapped topological Z(2) spin liquid.
Collapse
Affiliation(s)
- Stefan Depenbrock
- Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, München, Germany.
| | | | | |
Collapse
|
8
|
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.
Collapse
Affiliation(s)
- Joel S Helton
- NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA.
| | | | | | | | | | | | | |
Collapse
|
9
|
Jeong M, Bert F, Mendels P, Duc F, Trombe JC, de Vries MA, Harrison A. Field-induced freezing of a quantum spin liquid on the kagome lattice. PHYSICAL REVIEW LETTERS 2011; 107:237201. [PMID: 22182120 DOI: 10.1103/physrevlett.107.237201] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2011] [Revised: 09/06/2011] [Indexed: 05/31/2023]
Abstract
We report (17)O NMR measurements in the S=1/2 (Cu(2+)) kagome antiferromagnet Herbertsmithite ZnCu(3)(OH)(6)Cl(2) down to 45 mK in magnetic fields ranging from 2 to 12 T. While Herbertsmithite displays a gapless spin-liquid behavior in zero field, we uncover an instability toward a spin-solid phase at sub-Kelvin temperature induced by an applied magnetic field. The latter phase shows largely suppressed moments ≲0.1 μ(B) and gapped excitations. The H-T phase diagram suggests the existence of a quantum critical point at the small but finite magnetic field μ(0)H(c)=1.55(25) T. We discuss this finding in light of the perturbative Dzyaloshinskii-Moriya interaction which was theoretically proposed to sustain a quantum critical regime for the quantum kagome Heisenberg antiferromagnet model.
Collapse
Affiliation(s)
- M Jeong
- Laboratoire de Physique des Solides, Université Paris-Sud 11, UMR CNRS 8502, 91405 Orsay, France
| | | | | | | | | | | | | |
Collapse
|
10
|
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.
Collapse
Affiliation(s)
- J S Helton
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | | | | | | | | | | | | | | |
Collapse
|
11
|
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
| | | | | |
Collapse
|
12
|
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]
|
13
|
Robert J, Canals B, Simonet V, Ballou R. Propagation and ghosts in the classical kagome antiferromagnet. PHYSICAL REVIEW LETTERS 2008; 101:117207. [PMID: 18851328 DOI: 10.1103/physrevlett.101.117207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/09/2008] [Indexed: 05/26/2023]
Abstract
We investigate the classical spin dynamics of the kagome antiferromagnet by combining Monte Carlo and spin dynamics simulations. We show that this model has two distinct low temperature dynamical regimes, both sustaining propagative modes. The expected gauge invariance type of the low energy, low temperature, out-of-plane excitations is also evidenced in the nonlinear regime. A detailed analysis of the excitations allows us to identify ghosts in the dynamical structure factor, i.e., propagating excitations with a strongly reduced spectral weight. We argue that these dynamical extinction rules are of geometrical origin.
Collapse
Affiliation(s)
- J Robert
- Laboratoire Léon Brillouin, CEA-CNRS, CEA-Saclay, 91191 Gif-sur-Yvette, France
| | | | | | | |
Collapse
|
14
|
Lawler MJ, Fritz L, Kim YB, Sachdev S. Theory of Néel and valence-bond solid phases on the kagome lattice of Zn paratacamite. PHYSICAL REVIEW LETTERS 2008; 100:187201. [PMID: 18518414 DOI: 10.1103/physrevlett.100.187201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/09/2007] [Revised: 01/30/2008] [Indexed: 05/26/2023]
Abstract
Recently, neutron scattering data on powder samples of Zn paratacamite, ZnxCu4-x(OH)6Cl2, with small Zn concentration has been interpreted as evidence for valence-bond solid and Néel ordering [S.-H. Lee, Nat. Mater. 6, 853 (2007)10.1038/nmat1986]. We study the classical and quantum Heisenberg models on the distorted kagome lattice appropriate for Zn paratacamite at low Zn doping. Our theory naturally leads to the emergence of the valence-bond solid and collinear magnetic order at zero temperature. Implications of our results to the existing experiments are discussed. We also suggest future inelastic neutron and x-ray scattering experiments that can test our predictions.
Collapse
Affiliation(s)
- Michael J Lawler
- Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada
| | | | | | | |
Collapse
|
15
|
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]
|
16
|
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.
Collapse
Affiliation(s)
- J S Helton
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | | | | | | | | | | | | | | | | | | | | | | |
Collapse
|
17
|
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.
Collapse
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.
| | | |
Collapse
|
18
|
Budnik R, Auerbach A. Low-energy singlets in the Heisenberg antiferromagnet on the kagomé lattice. PHYSICAL REVIEW LETTERS 2004; 93:187205. [PMID: 15525205 DOI: 10.1103/physrevlett.93.187205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/25/2004] [Indexed: 05/24/2023]
Abstract
The spin-1/2 Heisenberg antiferromagnet on the kagomé lattice, is mapped by contractor renormalization to a spin-pseudospin Hamiltonian on the triangular superlattice. Variationally, we find a ground state with columnar dimer order. Dimer orientation fluctuations are described by an effective O(2) model at energies above an exponentially suppressed clock mass scale. Our results explain the large density of low-energy singlets observed numerically, and the nonmagnetic T2 specific heat observed experimentally.
Collapse
Affiliation(s)
- Ran Budnik
- Physics Department, Technion, Haifa 32000, Israel
| | | |
Collapse
|
19
|
Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder. QUANTUM MAGNETISM 2004. [DOI: 10.1007/bfb0119592] [Citation(s) in RCA: 104] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
|
20
|
|
21
|
|
22
|
Ramirez AP, Hessen B, Winklemann M. Entropy balance and evidence for local spin singlets in a Kagome-like magnet. PHYSICAL REVIEW LETTERS 2000; 84:2957-2960. [PMID: 11018985 DOI: 10.1103/physrevlett.84.2957] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/1999] [Indexed: 05/23/2023]
Abstract
We have measured the specific heat C(T) of the S = 3 / 2 Kagome-lattice-containing compound SrCr (9p)Ga (12-9p)O (19). We find little field dependence of the low-temperature C(T), consistent with a low-energy spectrum dominated by many-body singlet excitations. At high temperatures, we recover only approximately 50% of the total R ln4 entropy.
Collapse
Affiliation(s)
- AP Ramirez
- Bell Labs, Lucent Technologies, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA
| | | | | |
Collapse
|
23
|
Troyer M, Kontani H, Ueda K. Phase diagram of depleted Heisenberg model for CaV4O9. PHYSICAL REVIEW LETTERS 1996; 76:3822-3825. [PMID: 10061118 DOI: 10.1103/physrevlett.76.3822] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
24
|
Ueda K, Kontani H, Sigrist M, Lee PA. Plaquette resonating-valence-bond ground state of CaV4O9. PHYSICAL REVIEW LETTERS 1996; 76:1932-1935. [PMID: 10060557 DOI: 10.1103/physrevlett.76.1932] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
25
|
Nakamura T, Kubo K. Elementary excitations in the Delta chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:6393-6400. [PMID: 9982036 DOI: 10.1103/physrevb.53.6393] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
26
|
|
27
|
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]
|
28
|
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]
|
29
|
Otsuka H. Thermodynamic properties of the Delta -chain model in a uniform magnetic field. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:305-310. [PMID: 9977090 DOI: 10.1103/physrevb.51.305] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
30
|
Lin YL, Nori F. Quantum interference on the kagome-acute lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:15953-15960. [PMID: 9975963 DOI: 10.1103/physrevb.50.15953] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
31
|
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]
|
32
|
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]
|
33
|
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]
|
34
|
Sachdev S, Senthil T, Shankar R. Finite-temperature properties of quantum antiferromagnets in a uniform magnetic field in one and two dimensions. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:258-272. [PMID: 9974540 DOI: 10.1103/physrevb.50.258] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
35
|
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]
|
36
|
Fukamachi K, Nishimori H. Specific heat of the quantum Heisenberg antiferromagnet on the kagomé lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:651-654. [PMID: 10009333 DOI: 10.1103/physrevb.49.651] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
37
|
Kubo K. Excited states and the thermodynamics of a fully frustrated quantum spin chain. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 48:10552-10555. [PMID: 10007337 DOI: 10.1103/physrevb.48.10552] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
38
|
Ritchey I, Chandra P, Coleman P. Spin folding in the two-dimensional Heisenberg kagomé antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:15342-15345. [PMID: 10005922 DOI: 10.1103/physrevb.47.15342] [Citation(s) in RCA: 71] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
39
|
Yang K, Warman LK, Girvin SM. Possible spin-liquid states on the triangular and kagomé lattices. PHYSICAL REVIEW LETTERS 1993; 70:2641-2644. [PMID: 10053614 DOI: 10.1103/physrevlett.70.2641] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
40
|
Leung PW, Runge KJ. Spin-1/2 quantum antiferromagnets on the triangular lattice. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5861-5873. [PMID: 10004535 DOI: 10.1103/physrevb.47.5861] [Citation(s) in RCA: 47] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
41
|
Leung PW, Elser V. Numerical studies of a 36-site kagome-acute antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:5459-5462. [PMID: 10006719 DOI: 10.1103/physrevb.47.5459] [Citation(s) in RCA: 67] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
42
|
Huber DL, Ching WY. Antiferromagnetic magnons in diluted triangular and kagomé lattices. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:3220-3224. [PMID: 10006406 DOI: 10.1103/physrevb.47.3220] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
43
|
Chalker JT, Eastmond JF. Ground-state disorder in the spin-1/2 kagomé Heisenberg antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:14201-14204. [PMID: 10003496 DOI: 10.1103/physrevb.46.14201] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
44
|
Chubukov A. Order from disorder in a kagomé antiferromagnet. PHYSICAL REVIEW LETTERS 1992; 69:832-835. [PMID: 10047044 DOI: 10.1103/physrevlett.69.832] [Citation(s) in RCA: 59] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
45
|
Wang YR. Specific heat of quantum Heisenberg model on a triangular lattice with two exchange parameters and its application to 3He adsorbed on graphite. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:12608-12611. [PMID: 10001308 DOI: 10.1103/physrevb.45.12608] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
46
|
Sachdev S. Kagomé- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:12377-12396. [PMID: 10001275 DOI: 10.1103/physrevb.45.12377] [Citation(s) in RCA: 242] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
47
|
Singh RR, Huse DA. Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets. PHYSICAL REVIEW LETTERS 1992; 68:1766-1769. [PMID: 10045215 DOI: 10.1103/physrevlett.68.1766] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
48
|
Chalker JT, Holdsworth PC, Shender EF. Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet. PHYSICAL REVIEW LETTERS 1992; 68:855-858. [PMID: 10046010 DOI: 10.1103/physrevlett.68.855] [Citation(s) in RCA: 52] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
|
49
|
Harris AB, Kallin C, Berlinsky AJ. Possible Néel orderings of the Kagomé antiferromagnet. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:2899-2919. [PMID: 10001839 DOI: 10.1103/physrevb.45.2899] [Citation(s) in RCA: 83] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|