1
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Jornet-Somoza J, Cosi F, Fumanal M, Deumal M. Disentangling the magnetic dimensionality of an alleged magnetically isolated cuprate spin-ladder CuHpCl system: a long-lasting issue. Dalton Trans 2021; 50:1754-1765. [PMID: 33459323 DOI: 10.1039/d0dt03499a] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The Cu2(1,4-diazacycloheptane)2Cl4 (CuHpCl) crystal is a molecular transition metal antiferromagnetic complex, whose magnetism has been a long-lasting issue. The outcome of a variety of experimental studies (on magnetic susceptibility, heat capacity, magnetization, spin gap and INS) reported many different J values depending on the fitting ladder model used. From all available experimental data, one can infer that CuHpCl is a very complex system with many competing microscopic magnetic JAB interactions that lead to its overall antiferromagnetic behavior. A first-principles bottom-up study of CuHpCl is thus necessary in order to fully disentangle its magnetism. Here we incorporate data from ab initio computations providing the magnitude of the JAB interactions to investigate the microscopic magnetic couplings in CuHpCl and, ultimately, to understand the macroscopic magnetic behavior of this crystal. Strikingly, the resulting magnetic topology can be pictured as a 3D network of interacting squared plaquette magnetic building blocks, which does not agree with the suggested ladder motif (with uniform rails) that arises from direct observation of the crystal packing. The computed magnetic susceptibility, heat capacity and magnetization data show good agreement with the experimental data. In spite of this agreement, only the calculated magnetization data are used to discriminate between the different spin regimes in CuHpCl, namely gapped singlet, partially polarized and fully polarized phases. Additional analysis of the magnetic wavefunction enables the conclusion that long-range spin correlation can be discarded as being responsible for the partially polarized phase, whose magnetic response is in fact due to the complex interplay of the magnetic moments in the 3D magnetic topology.
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Affiliation(s)
- J Jornet-Somoza
- Secció Química Física, Dept. Ciència de Materials i Química Física & IQTCUB, Universitat de Barcelona, Martí i Franquès 1, E-08820, Barcelona, Spain. and Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco, CFM CSIC-UPV/EHU, E-20018, San Sebastián, Spain
| | - F Cosi
- Secció Química Física, Dept. Ciència de Materials i Química Física & IQTCUB, Universitat de Barcelona, Martí i Franquès 1, E-08820, Barcelona, Spain.
| | - M Fumanal
- Secció Química Física, Dept. Ciència de Materials i Química Física & IQTCUB, Universitat de Barcelona, Martí i Franquès 1, E-08820, Barcelona, Spain.
| | - M Deumal
- Secció Química Física, Dept. Ciència de Materials i Química Física & IQTCUB, Universitat de Barcelona, Martí i Franquès 1, E-08820, Barcelona, Spain.
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2
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Zhang M, Cui M, Zhao Z, Huang X, He Z. A spin-1/2 gapped compound CdCu 2(SeO 3) 2Cl 2 with a ladder structure. Chem Commun (Camb) 2021; 57:6923-6926. [PMID: 34155487 DOI: 10.1039/d1cc02243a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The exploration of two-leg spin-ladder materials is a great challenge to the chemical community since it is one of the most ideal models for the study of low-dimensional magnetism and high-Tc superconductivity. Herein, we report on a successful synthesis of a new Cu2+-based two-leg ladder compound constructed by CuO4Cl2 octahedra along the [101] direction. The magnetic results exhibit a broad peak at Tmax ∼ 265 K, and suggest that CdCu2(SeO3)2Cl2 has a spin singlet ground state. The fitting of the isolated two-leg spin-ladder model shows J⊥/kB = 429 K and J‖/kB = 21 K, leading to a large spin gap of ∼409 K.
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Affiliation(s)
- Mengsi Zhang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, P. R. China. and University of Chinese Academy of Sciences, Beijing 100049, P. R. China
| | - Meiyan Cui
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, P. R. China.
| | - Zhiying Zhao
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, P. R. China.
| | - Xing Huang
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, P. R. China.
| | - Zhangzhen He
- State Key Laboratory of Structural Chemistry, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350002, P. R. China.
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3
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Hörmann M, Wunderlich P, Schmidt KP. Dynamic Structure Factor of Disordered Quantum Spin Ladders. PHYSICAL REVIEW LETTERS 2018; 121:167201. [PMID: 30387667 DOI: 10.1103/physrevlett.121.167201] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/05/2018] [Indexed: 06/08/2023]
Abstract
We investigate the impact of quenched disorder on the zero-temperature dynamic structure factor of two-leg quantum spin ladders. Using linked-cluster expansions and bond-operator mean-field theory, huge effects on individual quasiparticles but also on composite bound states and two-quasiparticle continua are observed. This leads to intriguing quantum structures in dynamical correlation functions well observable in spectroscopic experiments.
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Affiliation(s)
- Max Hörmann
- Institute for Theoretical Physics, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - Paul Wunderlich
- Institute for Theoretical Physics, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - K P Schmidt
- Institute for Theoretical Physics, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany
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4
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Sousa HS, Pereira MSS, de Oliveira IN, Strečka J, Lyra ML. Phase diagram and re-entrant fermionic entanglement in a hybrid Ising-Hubbard ladder. Phys Rev E 2018; 97:052115. [PMID: 29906985 DOI: 10.1103/physreve.97.052115] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/23/2018] [Indexed: 06/08/2023]
Abstract
The degree of fermionic entanglement is examined in an exactly solvable Ising-Hubbard ladder, which involves interacting electrons on the ladder's rungs described by Hubbard dimers at half-filling on each rung, accounting for intrarung hopping and Coulomb terms. The coupling between neighboring Hubbard dimers is assumed to have an Ising-like nature. The ground-state phase diagram consists of four distinct regions corresponding to the saturated paramagnetic, the classical antiferromagnetic, the quantum antiferromagnetic, and the mixed classical-quantum phase. We have exactly computed the fermionic concurrence, which measures the degree of quantum entanglement between the pair of electrons on the ladder rungs. The effects of the hopping amplitude, the Coulomb term, temperature, and magnetic fields on the fermionic entanglement are explored in detail. It is shown that the fermionic concurrence displays a re-entrant behavior when quantum entanglement is being generated at moderate temperatures above the classical saturated paramagnetic ground state.
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Affiliation(s)
- H S Sousa
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió, Alagoas, Brazil
- Instituto Federal do Piauí, Campus Pedro II, 64255-000 Pedro II-Piauí, Brazil
| | - M S S Pereira
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió, Alagoas, Brazil
| | - I N de Oliveira
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió, Alagoas, Brazil
| | - J Strečka
- Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovakia
| | - M L Lyra
- Instituto de Física, Universidade Federal de Alagoas 57072-970 Maceió, Alagoas, Brazil
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5
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Anagnostis J, Cipi J, Landee CP, Tremelling GW, Turnbull MM, Twamley B, Wikaira JL. Transition metal salts of 2-amino-3,5-dihalopyridine - dimers: syntheses, structures and magnetic properties of (3,5-diCAPH)2Cu2Br6 and (3,5-diBAPH)2Cu2X6. J COORD CHEM 2017. [DOI: 10.1080/00958972.2017.1413183] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Jason Anagnostis
- Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
| | - Joris Cipi
- Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
| | | | - Grant W. Tremelling
- Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
| | - Mark M. Turnbull
- Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
| | - Brendan Twamley
- School of Chemistry, Trinity College Dublin, The University of Dublin, Dublin 2, Ireland
| | - Jan L. Wikaira
- School of Physical and Chemical Sciences, Te Kura Matū, University of Canterbury, Christchurch, New Zealand
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6
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Ward S, Mena M, Bouillot P, Kollath C, Giamarchi T, Schmidt KP, Normand B, Krämer KW, Biner D, Bewley R, Guidi T, Boehm M, McMorrow DF, Rüegg C. Bound States and Field-Polarized Haldane Modes in a Quantum Spin Ladder. PHYSICAL REVIEW LETTERS 2017; 118:177202. [PMID: 28498681 DOI: 10.1103/physrevlett.118.177202] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/19/2016] [Indexed: 06/07/2023]
Abstract
The challenge of one-dimensional systems is to understand their physics beyond the level of known elementary excitations. By high-resolution neutron spectroscopy in a quantum spin-ladder material, we probe the leading multiparticle excitation by characterizing the two-magnon bound state at zero field. By applying high magnetic fields, we create and select the singlet (longitudinal) and triplet (transverse) excitations of the fully spin-polarized ladder, which have not been observed previously and are close analogs of the modes anticipated in a polarized Haldane chain. Theoretical modeling of the dynamical response demonstrates our complete quantitative understanding of these states.
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Affiliation(s)
- S Ward
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
- London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland
| | - M Mena
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
- London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland
| | - P Bouillot
- Department of Medical Imaging and Information Sciences, Interventional Neuroradiology Unit, University Hospitals of Geneva, CH-1211 Geneva, Switzerland
- Laboratory for Hydraulic Machines, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - C Kollath
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland
- HISKP, University of Bonn, Nussallee 14-16, 53115 Bonn, Germany
| | - T Giamarchi
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland
| | - K P Schmidt
- Theoretische Physik I, Staudtstrasse 7, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - B Normand
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - K W Krämer
- Department of Chemistry and Biochemistry, University of Bern, CH-3012 Bern, Switzerland
| | - D Biner
- Department of Chemistry and Biochemistry, University of Bern, CH-3012 Bern, Switzerland
| | - R Bewley
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxford OX11 0QX, United Kingdom
| | - T Guidi
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxford OX11 0QX, United Kingdom
| | - M Boehm
- Institut Laue Langevin, 6 rue Jules Horowitz BP156, 38024 Grenoble CEDEX 9, France
| | - D F McMorrow
- London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
| | - Ch Rüegg
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
- Department of Quantum Matter Physics, University of Geneva, CH-1211 Geneva, Switzerland
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7
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Jeong M, Mayaffre H, Berthier C, Schmidiger D, Zheludev A, Horvatić M. Magnetic-Order Crossover in Coupled Spin Ladders. PHYSICAL REVIEW LETTERS 2017; 118:167206. [PMID: 28474926 DOI: 10.1103/physrevlett.118.167206] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2017] [Indexed: 06/07/2023]
Abstract
We report a novel crossover behavior in the long-range-ordered phase of a prototypical spin-1/2 Heisenberg antiferromagnetic ladder compound (C_{7}H_{10}N)_{2}CuBr_{4}. The staggered order was previously evidenced from a continuous and symmetric splitting of ^{14}N NMR spectral lines on lowering the temperature below T_{c}≃330 mK, with a saturation towards ≃150 mK. Unexpectedly, the split lines begin to further separate away below T^{*}∼100 mK, while the linewidth and the line shape remain completely invariable. This crossover behavior is further corroborated by the NMR relaxation rate T_{1}^{-1} measurements. A very strong suppression reflecting the ordering, T_{1}^{-1}∼T^{5.5}, observed above T^{*}, is replaced by T_{1}^{-1}∼T below T^{*}. These original NMR features are indicative of the unconventional nature of the crossover, which may arise from a unique arrangement of the ladders into a spatially anisotropic and frustrated coupling network.
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Affiliation(s)
- M Jeong
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), EMFL, UGA, UPS, and INSA, Boîte Postale 166, 38042 Grenoble Cedex 9, France
- Laboratory for Quantum Magnetism, Institute of Physics, Ecole Polytechnique Féderale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - H Mayaffre
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), EMFL, UGA, UPS, and INSA, Boîte Postale 166, 38042 Grenoble Cedex 9, France
| | - C Berthier
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), EMFL, UGA, UPS, and INSA, Boîte Postale 166, 38042 Grenoble Cedex 9, France
| | - D Schmidiger
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - A Zheludev
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - M Horvatić
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), EMFL, UGA, UPS, and INSA, Boîte Postale 166, 38042 Grenoble Cedex 9, France
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8
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Jeong M, Schmidiger D, Mayaffre H, Klanjšek M, Berthier C, Knafo W, Ballon G, Vignolle B, Krämer S, Zheludev A, Horvatić M. Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders. PHYSICAL REVIEW LETTERS 2016; 117:106402. [PMID: 27636483 DOI: 10.1103/physrevlett.117.106402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/15/2016] [Indexed: 06/06/2023]
Abstract
We present a direct NMR method to determine whether the interactions in a Tomonaga-Luttinger liquid (TLL) state of a spin-1/2 Heisenberg antiferromagnetic ladder are attractive or repulsive. For the strong-leg spin ladder compound (C_{7}H_{10}N)_{2}CuBr_{4} we find that the isothermal magnetic field dependence of the NMR relaxation rate T_{1}^{-1}(H) displays a concave curve between the two critical fields bounding the TLL regime. This is in sharp contrast to the convex curve previously reported for a strong-rung ladder, (C_{5}H_{12}N)_{2}CuBr_{4}. We show that the concavity and the convexity of T_{1}^{-1}(H), which is a fingerprint of spin fluctuations, directly reflect the attractive and repulsive fermionic interactions in the TLL, respectively. The interaction sign is alternatively determined from an indirect method combining bulk magnetization and specific heat data.
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Affiliation(s)
- M Jeong
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
- Laboratory for Quantum Magnetism, Institute of Physics, Ecole Polytechnique Féderale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - D Schmidiger
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH, 8093 Zürich, Switzerland
| | - H Mayaffre
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - M Klanjšek
- Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
| | - C Berthier
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - W Knafo
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, 31400 Toulouse, France
| | - G Ballon
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, 31400 Toulouse, France
| | - B Vignolle
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, 31400 Toulouse, France
| | - S Krämer
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - A Zheludev
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH, 8093 Zürich, Switzerland
| | - M Horvatić
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UGA, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
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9
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Klanjšek M, Arčon D, Sans A, Adler P, Jansen M, Felser C. Phonon-Modulated Magnetic Interactions and Spin Tomonaga-Luttinger Liquid in the p-Orbital Antiferromagnet CsO2. PHYSICAL REVIEW LETTERS 2015; 115:057205. [PMID: 26274439 DOI: 10.1103/physrevlett.115.057205] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2014] [Indexed: 06/04/2023]
Abstract
The magnetic response of antiferromagnetic CsO2, coming from the p-orbital S=1/2 spins of anionic O2(-) molecules, is followed by 133Cs nuclear magnetic resonance across the structural phase transition occurring at T(s1)=61 K on cooling. Above T(s1), where spins form a square magnetic lattice, we observe a huge, nonmonotonic temperature dependence of the exchange coupling originating from thermal librations of O2(-) molecules. Below T(s1), where antiferromagnetic spin chains are formed as a result of p-orbital ordering, we observe a spin Tomonaga-Luttinger-liquid behavior of spin dynamics. These two interesting phenomena, which provide rare simple manifestations of the coupling between spin, lattice, and orbital degrees of freedom, establish CsO2 as a model system for molecular solids.
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Affiliation(s)
- M Klanjšek
- Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
- EN-FIST Centre of Excellence, Trg OF 13, 1000 Ljubljana, Slovenia
| | - D Arčon
- Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
- Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia
| | - A Sans
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Institute for Inorganic Chemistry, University of Stuttgart, Pfaffenwaldring 55, 70569 Stuttgart, Germany
| | - P Adler
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
| | - M Jansen
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Max Planck Institute for Solid State Research, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - C Felser
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
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10
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Landee CP, Turnbull MM. Review: A gentle introduction to magnetism: units, fields, theory, and experiment. J COORD CHEM 2014. [DOI: 10.1080/00958972.2014.889294] [Citation(s) in RCA: 60] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Christopher P. Landee
- Department of Physics and Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
| | - Mark M. Turnbull
- Department of Physics and Carlson School of Chemistry and Biochemistry, Clark University, Worcester, MA, USA
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11
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Luitz DJ, Alet F, Laflorencie N. Universal behavior beyond multifractality in quantum many-body systems. PHYSICAL REVIEW LETTERS 2014; 112:057203. [PMID: 24580627 DOI: 10.1103/physrevlett.112.057203] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/09/2013] [Indexed: 05/10/2023]
Abstract
How many states of a configuration space contribute to a wave function? Attempts to answer this ubiquitous question have a long history in physics and are keys to understanding, e.g., localization phenomena. Beyond single-particle physics, a quantitative study of the ground state complexity for interacting many-body quantum systems is notoriously difficult, mainly due to the exponential growth of the configuration (Hilbert) space with the number of particles. Here we develop quantum Monte Carlo schemes to overcome this issue, focusing on Shannon-Rényi entropies of ground states of large quantum many-body systems. Our simulations reveal a generic multifractal behavior while the very nature of quantum phases of matter and associated transitions is captured by universal subleading terms in these entropies.
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Affiliation(s)
- David J Luitz
- Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, 31062 Toulouse, France
| | - Fabien Alet
- Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, 31062 Toulouse, France
| | - Nicolas Laflorencie
- Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, 31062 Toulouse, France
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12
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Jeong M, Mayaffre H, Berthier C, Schmidiger D, Zheludev A, Horvatić M. Attractive Tomonaga-Luttinger liquid in a quantum spin ladder. PHYSICAL REVIEW LETTERS 2013; 111:106404. [PMID: 25166688 DOI: 10.1103/physrevlett.111.106404] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/01/2013] [Indexed: 06/03/2023]
Abstract
We present NMR measurements of a strong-leg spin-1/2 Heisenberg antiferromagnetic ladder compound (C7H10N)2CuBr4 under magnetic fields up to 15 T in the temperature range from 1.2 K down to 50 mK. From the splitting of NMR lines, we determine the phase boundary and the order parameter of the low-temperature (three-dimensional) long-range-ordered phase. In the Tomonaga-Luttinger regime above the ordered phase, NMR relaxation reflects characteristic power-law decay of spin correlation functions as 1/T1∝T(1/2K-1), which allows us to determine the interaction parameter K as a function of field. We find that field-dependent K varies within the 1<K<2 range, which signifies attractive interaction between the spinless fermions in the Tomonaga-Luttinger liquid.
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Affiliation(s)
- M Jeong
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UJF, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - H Mayaffre
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UJF, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - C Berthier
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UJF, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
| | - D Schmidiger
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zurich, Zurich 8093, Switzerland
| | - A Zheludev
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zurich, Zurich 8093, Switzerland
| | - M Horvatić
- Laboratoire National des Champs Magnétique Intenses, LNCMI-CNRS (UPR3228), UJF, UPS, and INSA, Boîte Postale 166, 38042, Grenoble Cedex 9, France
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13
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Schmidiger D, Bouillot P, Guidi T, Bewley R, Kollath C, Giamarchi T, Zheludev A. Spectrum of a magnetized strong-leg quantum spin ladder. PHYSICAL REVIEW LETTERS 2013; 111:107202. [PMID: 25166704 DOI: 10.1103/physrevlett.111.107202] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2013] [Indexed: 06/03/2023]
Abstract
Inelastic neutron scattering is used to measure the spin excitation spectrum of the Heisenberg S=1/2 ladder material (C7H10N)2CuBr4 in its entirety, both in the gapped spin liquid and the magnetic field-induced Tomonaga-Luttinger spin liquid regimes. A fundamental change of the spin dynamics is observed between these two regimes. Density matrix renormalization group calculations quantitatively reproduce and help understand the observed commensurate and incommensurate excitations. The results validate long-standing quantum field-theoretical predictions but also test the limits of that approach.
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Affiliation(s)
- D Schmidiger
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
| | - P Bouillot
- Department of Medical Imaging and Information Sciences, Interventional Neuroradiology Unit, University Hospitals of Geneva, CH-1211 Geneva, Switzerland and Laboratory for Hydraulic Machines, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - T Guidi
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom
| | - R Bewley
- ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom
| | - C Kollath
- HISKP, Universität Bonn, Nussallee 14-16, D-53115 Bonn, Germany
| | - T Giamarchi
- DPMC-MaNEP, University of Geneva, CH-1211 Geneva, Switzerland
| | - A Zheludev
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH Zürich, CH-8093 Zürich, Switzerland
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14
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Yamaguchi H, Iwase K, Ono T, Shimokawa T, Nakano H, Shimura Y, Kase N, Kittaka S, Sakakibara T, Kawakami T, Hosokoshi Y. Unconventional magnetic and thermodynamic properties of S=1/2 spin ladder with ferromagnetic legs. PHYSICAL REVIEW LETTERS 2013; 110:157205. [PMID: 25167306 DOI: 10.1103/physrevlett.110.157205] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/23/2012] [Revised: 01/16/2013] [Indexed: 06/03/2023]
Abstract
We have succeeded in synthesizing single crystals of a new organic radical 3-Cl-4-F-V [3-(3-chloro-4-fluorophenyl)-1,5-diphenylverdazyl]. Through the ab initio molecular orbital calculation and the analysis of the magnetic properties, this compound was confirmed to be the first experimental realization of an S=1/2 spin-ladder system with ferromagnetic leg interactions. The field-temperature phase diagram indicated that the ground state is situated very close to the quantum critical point. Furthermore, we found an unexpected field-induced successive phase transition, which possibly originates from the interplay of low dimensionality and frustration.
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Affiliation(s)
- H Yamaguchi
- Department of Physical Science, Osaka Prefecture University, Osaka 599-8531, Japan
| | - K Iwase
- Department of Physical Science, Osaka Prefecture University, Osaka 599-8531, Japan
| | - T Ono
- Department of Physical Science, Osaka Prefecture University, Osaka 599-8531, Japan
| | - T Shimokawa
- Center for Collaborative Research and Technology Development, Kobe University, Kobe 657-8501, Japan
| | - H Nakano
- Graduate School of Material Science, University of Hyogo, Hyogo 678-1297, Japan
| | - Y Shimura
- Institute for Solid State Physics, The University of Tokyo, Chiba 277-8581, Japan
| | - N Kase
- Institute for Solid State Physics, The University of Tokyo, Chiba 277-8581, Japan
| | - S Kittaka
- Institute for Solid State Physics, The University of Tokyo, Chiba 277-8581, Japan
| | - T Sakakibara
- Institute for Solid State Physics, The University of Tokyo, Chiba 277-8581, Japan
| | - T Kawakami
- Department of Chemistry, Osaka University, Osaka 560-0043, Japan
| | - Y Hosokoshi
- Department of Physical Science, Osaka Prefecture University, Osaka 599-8531, Japan
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15
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Choi KY, Hwang JW, Lemmens P, Wulferding D, Shu GJ, Chou FC. Evidence for dimer crystal melting in the frustrated spin-ladder system BiCu2PO6. PHYSICAL REVIEW LETTERS 2013; 110:117204. [PMID: 25166571 DOI: 10.1103/physrevlett.110.117204] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/19/2012] [Revised: 01/19/2013] [Indexed: 06/03/2023]
Abstract
In the spin ladder compound BiCu(2)PO(6), there exists a decisive dynamics of spin excitations that we classify and characterize using inelastic light scattering. We observe an interladder singlet bound mode at 24 cm(-1) and two intraladder bound states at 62 and 108 cm(-1) in the leg (bb) and the rung (cc) polarization as well as a broad triplon continuum extending from 36 cm(-1) to 700 cm(-1). Though isolated spin ladder physics can roughly account for the observed excitations at high energies, frustration and interladder interactions need to be considered to fully describe the spectral distribution and scattering selection rules at low and intermediate energies. In addition, we attribute the rich spectrum of singlet bound modes to a melting of a dimer crystal. Our study provides evidence for a Z(2) quantum phase transition from a dimer to a resonating valence bond state driven by singlet fluctuations.
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Affiliation(s)
- K-Y Choi
- Department of Physics, Chung-Ang University, 221 Huksuk-Dong, Seoul 156-756, Republic of Korea
| | - J W Hwang
- Department of Physics, Chung-Ang University, 221 Huksuk-Dong, Seoul 156-756, Republic of Korea
| | - P Lemmens
- Institute for Condensed Matter Physics, TU Braunschweig, D-38106 Braunschweig, Germany
| | - D Wulferding
- Institute for Condensed Matter Physics, TU Braunschweig, D-38106 Braunschweig, Germany
| | - G J Shu
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 10617, Taiwan
| | - F C Chou
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 10617, Taiwan
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16
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Landee CP, Turnbull MM. Recent Developments in Low-Dimensional Copper(II) Molecular Magnets. Eur J Inorg Chem 2013. [DOI: 10.1002/ejic.201300133] [Citation(s) in RCA: 62] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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17
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Schmidiger D, Bouillot P, Mühlbauer S, Gvasaliya S, Kollath C, Giamarchi T, Zheludev A. Spectral and thermodynamic properties of a strong-leg quantum spin ladder. PHYSICAL REVIEW LETTERS 2012; 108:167201. [PMID: 22680751 DOI: 10.1103/physrevlett.108.167201] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/19/2011] [Indexed: 06/01/2023]
Abstract
The strong-leg S=1/2 Heisenberg spin ladder system (C(7)H(10)N)(2)CuBr(4) is investigated using density matrix renormalization group calculations, inelastic neutron scattering, and bulk magnetothermodynamic measurements. Measurements showed qualitative differences compared to the strong-rung case. A long-lived two-triplon bound state is confirmed to persist across most of the Brillouin zone in a zero field. In applied fields, in the Tomonaga-Luttinger spin-liquid phase, elementary excitations are attractive, rather than repulsive. In the presence of weak interladder interactions, the strong-leg system is considerably more prone to three-dimensional ordering.
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Affiliation(s)
- D Schmidiger
- Neutron Scattering and Magnetism, Laboratory for Solid State Physics, ETH, Zurich, Switzerland
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18
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Ninios K, Hong T, Manabe T, Hotta C, Herringer SN, Turnbull MM, Landee CP, Takano Y, Chan HB. Wilson ratio of a Tomonaga-Luttinger liquid in a spin-1/2 Heisenberg ladder. PHYSICAL REVIEW LETTERS 2012; 108:097201. [PMID: 22463663 DOI: 10.1103/physrevlett.108.097201] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/24/2011] [Indexed: 05/31/2023]
Abstract
Using micromechanical force magnetometry, we have measured the magnetization of the strong-leg spin-1/2 ladder compound (C(7)H(10)N)(2)CuBr(2) at temperatures down to 45 mK. Low-temperature magnetic susceptibility as a function of field exhibits a maximum near the critical field H(c) at which the magnon gap vanishes, as expected for a gapped one-dimensional antiferromagnet. Above H(c) a clear minimum appears in the magnetization as a function of temperature, as predicted by theory. In this field region, the susceptibility in conjunction with our specific-heat data yields the Wilson ratio R(W). The result supports the relation R(W)=4K, where K is the Tomonaga-Luttinger-liquid parameter.
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Affiliation(s)
- K Ninios
- Department of Physics, University of Florida, Gainesville, Florida 32611, USA
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19
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Cheng JG, Li G, Balicas L, Zhou JS, Goodenough JB, Xu C, Zhou HD. High-pressure sequence of Ba3NiSb2O9 structural phases: new S = 1 quantum spin liquids based on Ni2+. PHYSICAL REVIEW LETTERS 2011; 107:197204. [PMID: 22181641 DOI: 10.1103/physrevlett.107.197204] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/07/2011] [Indexed: 05/31/2023]
Abstract
Two new gapless quantum spin-liquid candidates with S = 1 (Ni(2+)) moments: the 6H-B phase of Ba(3)NiSb(2)O(9) with a Ni(2+)-triangular lattice and the 3C phase with a Ni(2/3)Sb(1/3)-three-dimensional edge-shared tetrahedral lattice were obtained under high pressure. Both compounds show no magnetic order down to 0.35 K despite Curie-Weiss temperatures θ(CW) of -75.5 (6H-B) and -182.5 K (3C), respectively. Below ~25 K, the magnetic susceptibility of the 6H-B phase saturates to a constant value χ(0) = 0.013 emu/mol, which is followed below 7 K by a linear-temperature-dependent magnetic specific heat (C(M)) displaying a giant coefficient γ = 168 mJ/mol K(2). Both observations suggest the development of a Fermi-liquid-like ground state. For the 3C phase, the C(M) perpendicular T(2) behavior indicates a unique S = 1, 3D quantum spin-liquid ground state.
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Affiliation(s)
- J G Cheng
- Texas Materials Institute, University of Texas at Austin, Texas 78712, USA
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20
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Liu C, Čižmár E, Park JH, Abboud KA, Meisel MW, Talham DR. Preparation, crystal structure and magnetic properties of Ni2(dpa)2(pyz)(H2O)4. Polyhedron 2011. [DOI: 10.1016/j.poly.2011.03.002] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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