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

Abstract

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 La${}_4$Cu${}_3$MoO${}_{12}$. 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.

arXiv comment10 pages, 12 figures

References in corpus (34)

• Quantum Spin Liquids
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Identifying Topological Order by Entanglement Entropy
• Herbertsmithite and the Search for the Quantum Spin Liquid
• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Unusual ordered phases of highly frustrated magnets: a review
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Canonical Thermal Pure Quantum State
• Gapless spin liquid ground state in the S=1/2 vanadium oxyfluoride kagome antiferromagnet [NH4]2[C7H14N][V7O6F18]
• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• The $S=1/2$ Kagome Heisenberg Antiferromagnet Revisited
• Magnetism of the N=42 kagome lattice antiferromagnet
• Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
• Specific heat of the S=1/2 Heisenberg model on the kagome lattice: high-temperature series expansion analysis
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion
• Thermal Critical Points and Quantum Critical End Point in the Frustrated Bilayer Heisenberg Antiferromagnet
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Field-Induced Quantum Phases in Frustrated Spin-Dimer Model: A Sign-Problem-Free Quantum Monte Carlo Study
• Determining QMC simulability with geometric phases
• Spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet with strong breathing anisotropy
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Phase Diagram and Thermodynamic Properties of the Square Lattice of Antiferromagnetic Spin-1/2 Triangles in La_4Cu_3MoO_12

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