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

Autor:	Lukin, I. V., Sotnikov, A. G.
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	Physical Review E 109, 045305 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.109.045305
Popis:	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. Comment: 29 pages, 47 figures, final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.07274 Zobrazit plný text záznamu View this record from Arxiv