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arXiv · 2401.07274

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

I. V. Lukin·A. G. Sotnikov
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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.

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BibTeXRIS

I. V. Lukin, A. G. Sotnikov. 2024-01-14. Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices. https://doi.org/10.1103/physreve.109.045305

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