Multi-leg integrable ladder models

TL;DR

This paper introduces a new class of integrable ladder spin chain models with inhomogeneous anisotropy, based on coupled Yang-Baxter equations, expanding the understanding of quantum integrable systems with complex periodic structures.

Contribution

It constructs P-leg integrable ladder Hamiltonians with inhomogeneous anisotropy and analyzes their quantum group symmetries, a novel approach in integrable models.

Findings

Successfully constructed inhomogeneous periodic ladder models

Identified quantum group symmetries of the models

Extended integrability to complex periodic anisotropy patterns

Abstract

We construct integrable spin chains with inhomogeneous periodic disposition of the anisotropy parameter. The periodicity holds for both auxiliary (space) and quantum (time) directions. The integrability of the model is based on a set of coupled Yang-Baxter equations. This construction yields P-leg integrable ladder Hamiltonians. We analyse the corresponding quantum group symmetry.