Berry phase and quantum criticality in Yang--Baxter systems

TL;DR

This paper explores the relationship between Berry phase and quantum criticality in systems derived from Yang--Baxter equations, providing insights into topological and critical phenomena in quantum spin models.

Contribution

It introduces a novel approach connecting Yang--Baxter systems with Berry phase and quantum criticality analysis.

Findings

Identification of Berry phase behavior in Yang--Baxter derived systems

Analysis of quantum critical points within these models

Potential implications for topological quantum computation

Abstract

Spin interaction Hamiltonians are obtained from the unitary Yang--Baxter $\breve{R}$-matrix. Based on which, we study Berry phase and quantum criticality in the Yang--Baxter systems.