Critical Behaviour of integrable mixed spins chains

TL;DR

This paper constructs and analyzes an integrable mixed spin chain model, revealing its conformal properties, ground state energy, and sound velocity, thus advancing understanding of complex quantum spin systems.

Contribution

It introduces a new integrable mixed spin model and explores its finite size and conformal invariance properties, including decomposition of the central charge.

Findings

Central charge decomposes into two simpler models' anomalies

Ground state energy computed for the thermodynamic limit

Sound velocity determined for the model

Abstract

We construct a mixed spin 1/2 and $S$ integrable model and investigate its finite size properties. For a certain conformal invariant mixed spin system the central charge can be decomposed in terms of the conformal anomaly of two single integrable models of spin 1/2 and spin $(S-1/2)$. We also compute the ground state energy and the sound velocity in the thermodynamic limit.