Conserved Charges of Series of Solvable Lattice Models
Statistical Mechanics
2025-03-11 v2 Mathematical Physics
math.MP
Abstract
An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interactions, or with next-nearest-neighbor z-z interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.
Keywords
Cite
@article{arxiv.2410.20798,
title = {Conserved Charges of Series of Solvable Lattice Models},
author = {Kazuhiko Minami},
journal= {arXiv preprint arXiv:2410.20798},
year = {2025}
}
Comments
18 pages, 2 tables