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Rosales HD, Albarracín FAG, Pujol P, Jaubert LDC. Skyrmion Fluid and Bimeron Glass Protected by a Chiral Spin Liquid on a Kagome Lattice. PHYSICAL REVIEW LETTERS 2023; 130:106703. [PMID: 36962046 DOI: 10.1103/physrevlett.130.106703] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/2022] [Revised: 11/10/2022] [Accepted: 02/03/2023] [Indexed: 06/18/2023]
Abstract
Skyrmions are of interest both from a fundamental and technological point of view, due to their potential to act as information carriers. But one challenge concerns their manipulation, especially at high temperature where thermal fluctuations eventually disintegrate them. Here we study the competition between skyrmions and a chiral spin liquid, using the latter as an entropic buffer to impose a quasivacuum of skyrmions. As a result, the temperature becomes a knob to tune the skyrmion density from a dense liquid to a diluted gas, protecting the integrity of each skyrmion from paramagnetic disintegration. With this additional knob in hand, we find at high field a topological spin glass made of zero- and one-dimensional topological defects (respectively skyrmions and bimerons).
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Affiliation(s)
- H Diego Rosales
- Instituto de Física de Líquidos y Sistemas Biológicos, CONICET, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata, Argentina
- Departamento de Física, FCE, UNLP, 1900 La Plata, Argentina
- Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP, 1900 La Plata, Argentina
| | - Flavia A Gómez Albarracín
- Instituto de Física de Líquidos y Sistemas Biológicos, CONICET, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900 La Plata, Argentina
- Departamento de Física, FCE, UNLP, 1900 La Plata, Argentina
- Departamento de Ciencias Básicas, Facultad de Ingeniería, UNLP, 1900 La Plata, Argentina
| | - Pierre Pujol
- Laboratoire de Physique Théorique, CNRS and Université de Toulouse, UPS, Toulouse, F-31062, France
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Jiang YF, Yao H, Yang F. Possible Superconductivity with a Bogoliubov Fermi Surface in a Lightly Doped Kagome U(1) Spin Liquid. PHYSICAL REVIEW LETTERS 2021; 127:187003. [PMID: 34767423 DOI: 10.1103/physrevlett.127.187003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/03/2020] [Revised: 05/22/2021] [Accepted: 09/30/2021] [Indexed: 06/13/2023]
Abstract
Whether the doped t-J model on the Kagome lattice supports exotic superconductivity has not been decisively answered. In this Letter, we propose a new class of variational states for this model and perform a large-scale variational Monte Carlo simulation on it. The proposed variational states are parameterized by the SU(2)-gauge rotation angles, as the SU(2)-gauge structure hidden in the Gutzwiller-projected mean-field Ansatz for the undoped model is broken upon doping. These variational doped states smoothly connect to the previously studied U(1) π-flux or 0-flux states, and energy minimization among them yields a chiral noncentrosymmetric nematic superconducting state with 2×2-enlarged unit cell. Moreover, this pair density wave state possesses a finite Fermi surface for the Bogoliubov quasiparticles. We further study experimentally relevant properties of this intriguing pairing state.
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Affiliation(s)
- Yi-Fan Jiang
- School of Physical Science and Technology, ShanghaiTech University, Shanghai 201210, China
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, California 94025, USA
| | - Hong Yao
- Institute of Advanced Study, Tsinghua University, Beijing 100084, China
- State Key Laboratory of Low Dimensional Quantum Physics, Tsinghua University, Beijing 100084, China
- Department of Physics, Stanford University, Stanford, California 94305, USA
| | - Fan Yang
- School of Physics, Beijing Institute of Technology, Beijing 100081, China
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Dmitriev DV, Krivnov VY. Two-dimensional spin models with macroscopic degeneracy. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:435802. [PMID: 34325419 DOI: 10.1088/1361-648x/ac18f4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/17/2021] [Accepted: 07/29/2021] [Indexed: 06/13/2023]
Abstract
We consider a class of anisotropic spin-12models with competing ferro- and antiferromagnetic interactions on two-dimensional Tasaki and kagome lattices consisting of corner sharing triangles. For certain values of the interactions the ground state is macroscopically degenerated in zero magnetic field. In this case the ground state manifold consists of isolated magnons as well as the bound magnon complexes. The ground state degeneracy is estimated using a special form of exact wave function which admits arrow configuration representation on two-dimensional lattice. The comparison of this estimate with the result for some special exactly solved models shows that the used approach determines the number of the ground states with exponential accuracy. It is shown that the main contribution to the ground state degeneracy and the residual entropy is given by the bound magnon complexes.
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Affiliation(s)
- D V Dmitriev
- Institute of Biochemical Physics of RAS, Kosygin Street 4, 119334 Moscow, Russia
| | - V Y Krivnov
- Institute of Biochemical Physics of RAS, Kosygin Street 4, 119334 Moscow, Russia
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Paul A, Chung CM, Birol T, Changlani HJ. Spin-lattice Coupling and the Emergence of the Trimerized Phase in the S=1 Kagome Antiferromagnet Na_{2}Ti_{3}Cl_{8}. PHYSICAL REVIEW LETTERS 2020; 124:167203. [PMID: 32383953 DOI: 10.1103/physrevlett.124.167203] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2019] [Accepted: 03/13/2020] [Indexed: 06/11/2023]
Abstract
Spin-1 antiferromagnets are abundant in nature, but few theories exist to understand their properties and behavior when geometric frustration is present. Here we study the S=1 kagome compound Na_{2}Ti_{3}Cl_{8} using a combination of density functional theory, exact diagonalization, and density matrix renormalization group approaches to achieve a first principles supported explanation of its exotic magnetic phases. We find that the effective magnetic Hamiltonian includes essential non-Heisenberg terms that do not stem from spin-orbit coupling, and both trimerized and spin-nematic magnetic phases are relevant. The experimentally observed structural transition to a breathing kagome phase is driven by spin-lattice coupling, which favors the trimerized magnetic phase against the quadrupolar one. We thus show that lattice effects can be necessary to understand the magnetism in frustrated magnetic compounds and surmise that Na_{2}Ti_{3}Cl_{8} is a compound that cannot be understood from only electronic or only lattice Hamiltonians, very much like VO_{2}.
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Affiliation(s)
- Arpita Paul
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Chia-Min Chung
- Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universitat Munchen, Theresienstrasse 37, 80333 Munchen, Germany
| | - Turan Birol
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Hitesh J Changlani
- Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
- National High Magnetic Field Laboratory, Tallahassee, Florida 32304, USA
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Zhou C, Chen X, Huang Y, Pan Y, Mi J. Rational Design of (NH
4
)Cu[PO
4
] with a Spin Gapped, Distorted Honeycomb Layer. Eur J Inorg Chem 2020. [DOI: 10.1002/ejic.201901284] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Chao‐Fan Zhou
- Fujian Provincial Key Laboratory of Advanced Materials (Xiamen University) Department of Materials Science and Engineering College of Materials Xiamen University 361005 Xiamen Fujian Province People's Republic of China
| | - Xiao‐Hui Chen
- Fujian Provincial Key Laboratory of Advanced Materials (Xiamen University) Department of Materials Science and Engineering College of Materials Xiamen University 361005 Xiamen Fujian Province People's Republic of China
| | - Ya‐Xi Huang
- Fujian Provincial Key Laboratory of Advanced Materials (Xiamen University) Department of Materials Science and Engineering College of Materials Xiamen University 361005 Xiamen Fujian Province People's Republic of China
| | - Yuanming Pan
- Department of Geological Sciences University of Saskatchewan SK S7N 5E2 Saskatoon Canada
| | - Jin‐Xiao Mi
- Fujian Provincial Key Laboratory of Advanced Materials (Xiamen University) Department of Materials Science and Engineering College of Materials Xiamen University 361005 Xiamen Fujian Province People's Republic of China
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Huang CJ, Deng Y, Wan Y, Meng ZY. Dynamics of Topological Excitations in a Model Quantum Spin Ice. PHYSICAL REVIEW LETTERS 2018; 120:167202. [PMID: 29756936 DOI: 10.1103/physrevlett.120.167202] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2017] [Indexed: 05/10/2023]
Abstract
We study the quantum spin dynamics of a frustrated XXZ model on a pyrochlore lattice by using large-scale quantum Monte Carlo simulation and stochastic analytic continuation. In the low-temperature quantum spin ice regime, we observe signatures of coherent photon and spinon excitations in the dynamic spin structure factor. As the temperature rises to the classical spin ice regime, the photon disappears from the dynamic spin structure factor, whereas the dynamics of the spinon remain coherent in a broad temperature window. Our results provide experimentally relevant, quantitative information for the ongoing pursuit of quantum spin ice materials.
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Affiliation(s)
- Chun-Jiong Huang
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- CAS-Alibaba Quantum Computing Laboratory, Shanghai 201315, China
| | - Youjin Deng
- Shanghai Branch, National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China
- CAS Center for Excellence and Synergetic Innovation Center in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
- CAS-Alibaba Quantum Computing Laboratory, Shanghai 201315, China
| | - Yuan Wan
- Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Zi Yang Meng
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- CAS Center of Excellence in Topological Quantum Computation and School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
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