Higher-order tensor renormalization group approach to lattice glass model

Abstract

In this study, the higher-order tensor renormalization group (HOTRG) method is applied to a lattice glass model that has local constraints on the occupation number of neighboring particles represented by many-body interactions. This model exhibits first- and second-order transitions depending on a certain model parameter. The results obtained by using the HOTRG method for the model were confirmed to be consistent with those obtained by a Markov-chain Monte Carlo (MCMC) method for systems of relatively small sizes. The transition points are accurately estimated by the HOTRG calculation for the systems of large sizes, which is challenging to perform using the MCMC method. These results demonstrate that the HOTRG method can be an efficient method for studying systems with many-body interactions.

arXiv comment8 pages, 15 figures

References in corpus (22)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
• Tensor renormalization group approach to 2D classical lattice models
• Coarse-graining renormalization by higher-order singular value decomposition
• Tensor Network Renormalization
• Scaling of entanglement support for Matrix Product States
• Tensor-entanglement renormalization group approach to 2D quantum systems
• Differentiable Programming Tensor Networks
• Variational optimization with infinite projected entangled-pair states
• Corner Transfer Matrix Algorithm for Classical Renormalization Group
• Lattice Glass Models
• Glass models on Bethe lattices
• Tensor renormalization of quantum many-body systems using projected entangled simplex states
• Simple Glass Models and their Quantum Annealing
• Real Space Renormalization in Statistical Mechanics
• Bayesian Inference in the Scaling Analysis of Critical Phenomena
• Anisotropic Tensor Renormalization Group
• Dynamical Heterogeneity in Lattice Glass Models
• Calculation of higher-order moments by higher-order tensor renormalization group
• Doubling of Entanglement Spectrum in Tensor Renormalization Group
• Boundary Tensor Renormalization Group
• Finite Energy Extension of a Lattice Glass Model

Cited by in corpus (2)

• Tensor network calculation of the logarithmic correction exponent in the XY model
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