General tensor network theory for frustrated classical spin models in two dimensions

Song, Feng-Feng; Lin, Tong-Yu; Zhang, Guang-Ming

doi:10.1103/physrevb.108.224404

Phys. Rev. B

2023

DOI: 10.1103/physrevb.108.224404

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General tensor network theory for frustrated classical spin models in two dimensions

Feng-Feng Song,

Tong-Yu Lin,

Guang-Ming Zhang

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Cited by 3 publications

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Probing phase transitions with correlations in configuration space

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Phys. Rev. B

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Probing phase transitions with correlations in configuration space

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et al. 2024

Phys. Rev. B

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Critical line of the triangular Ising antiferromagnet in a field from a C3 -symmetric corner transfer matrix algorithm

Nyckees,

Rufino,

Mila

et al. 2023

Phys. Rev. E

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Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices

Lukin,

Sotnikov

2024

Phys. Rev. E

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We develop a new methodology to contract tensor networks within the corner transfer matrix renormalization group approach for a wide range of two-dimensional lattice geometries. We discuss contraction algorithms on the example of triangular, kagome, honeycomb, square-octagon, star, ruby, square-hexagon-dodecahedron, and dice lattices. As benchmark tests, we apply the developed method to the classical Ising model on different lattices and observe a remarkable agreement of the results with the available from the literature. The approach also shows the necessary potential to be applied to various quantum lattice models in a combination with the wave-function variational optimization schemes. Published by the American Physical Society 2024

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General tensor network theory for frustrated classical spin models in two dimensions

Cited by 3 publications

References 100 publications

Probing phase transitions with correlations in configuration space

Probing phase transitions with correlations in configuration space

Critical line of the triangular Ising antiferromagnet in a field from a C3 -symmetric corner transfer matrix algorithm

Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices

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