Cluster quantum Monte Carlo study of two-dimensional weakly coupled frustrated trimer antiferromagnets

被引:4
作者
Weber, Lukas [1 ,2 ]
Caci, Nils [1 ,2 ]
Wessel, Stefan [1 ,2 ]
机构
[1] Rhein Westfal TH Aachen, JARA Fundamentals Future Informat Technol, Inst Theoret Solid State Phys, D-52056 Aachen, Germany
[2] JARA Ctr Simulat & Data Sci, D-52056 Aachen, Germany
关键词
SIGN PROBLEM; KAGOME; SIMULATIONS;
D O I
10.1103/PhysRevB.106.035141
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly coupled three-spin (trimer) clusters. In particular, we consider the spin-1/2 kagome lattice with a strong breathing distortion, and the triangle-square lattice model proposed previously for the cuprate La4Cu3MoO12. For both cases, we demonstrate that an appropriately chosen trimer-based computational basis allows us to significantly reduce the quantum Monte Carlo sign problem down to the low-temperature regime. Besides exploring the thermodynamic behavior for the triangle-square lattice model we also assess a mean-field theory based prediction for the onset of chiral order. For the breathing distorted kagome lattice model, we observe a robust two-peak structure in the specific heat, both in the quantum spin liquid and the lattice-nematic regimes.
引用
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页数:10
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共 40 条
[1]  
Aidoudi FH, 2011, NAT CHEM, V3, P801, DOI [10.1038/nchem.1129, 10.1038/NCHEM.1129]
[2]   Generalized directed loop method for quantum Monte Carlo simulations [J].
Alet, F ;
Wessel, S ;
Troyer, M .
PHYSICAL REVIEW E, 2005, 71 (03)
[3]   Sign-Problem-Free Monte Carlo Simulation of Certain Frustrated Quantum Magnets [J].
Alet, Fabien ;
Damle, Kedar ;
Pujari, Sumiran .
PHYSICAL REVIEW LETTERS, 2016, 117 (19)
[4]   Thermodynamics of spin-1/2 Kagome Heisenberg antiferromagnet: algebraic paramagnetic liquid and finite-temperature phase diagram [J].
Chen, Xi ;
Ran, Shi-Ju ;
Liu, Tao ;
Peng, Cheng ;
Huang, Yi-Zhen ;
Su, Gang .
SCIENCE BULLETIN, 2018, 63 (23) :1545-1550
[5]   Gapless Spin Liquid Ground State in the S=1/2 Vanadium Oxyfluoride Kagome Antiferromagnet [NH4]2[C7H14N][V7O6F18] [J].
Clark, L. ;
Orain, J. C. ;
Bert, F. ;
De Vries, M. A. ;
Aidoudi, F. H. ;
Morris, R. E. ;
Lightfoot, P. ;
Lord, J. S. ;
Telling, M. T. F. ;
Bonville, P. ;
Attfield, J. P. ;
Mendels, P. ;
Harrison, A. .
PHYSICAL REVIEW LETTERS, 2013, 110 (20)
[6]   Nature of the Spin-Liquid Ground State of the S=1/2 Heisenberg Model on the Kagome Lattice [J].
Depenbrock, Stefan ;
McCulloch, Ian P. ;
Schollwoeck, Ulrich .
PHYSICAL REVIEW LETTERS, 2012, 109 (06)
[7]   Accessing the dynamics of large many-particle systems using the stochastic series expansion [J].
Dorneich, Ansgar ;
Troyer, Matthias .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (6 II) :1-066701
[8]   Signatures of Dirac Cones in a DMRG Study of the Kagome Heisenberg Model [J].
He, Yin-Chen ;
Zaletel, Michael P. ;
Oshikawa, Masaki ;
Pollmann, Frank .
PHYSICAL REVIEW X, 2017, 7 (03)
[9]   Determining quantum Monte Carlo simulability with geometric phases [J].
Hen, Itay .
PHYSICAL REVIEW RESEARCH, 2021, 3 (02)
[10]   Sign problem in Monte Carlo simulations of frustrated quantum spin systems [J].
Henelius, P ;
Sandvik, AW .
PHYSICAL REVIEW B, 2000, 62 (02) :1102-1113