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Condensed Matter > Statistical Mechanics
Title: Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices
(Submitted on 14 Jan 2024 (v1), last revised 18 Apr 2024 (this version, v2))
Abstract: 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.
Submission history
From: Andrii Sotnikov [view email][v1] Sun, 14 Jan 2024 12:14:16 GMT (8034kb,D)
[v2] Thu, 18 Apr 2024 11:07:46 GMT (4020kb,D)
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