Thermodynamics and conformal properties of XXZ chains with alternating spins

TL;DR

This paper investigates the thermodynamic and conformal properties of alternating spin XXZ chains, deriving ground state energies, conformal anomalies, and magnetic susceptibilities, with generalizations to multiple spin types.

Contribution

It provides a compact expression for ground state energy and analyzes conformal and magnetic properties of alternating spin XXZ chains, including generalizations to multiple spins.

Findings

Derived a compact expression for the ground state energy.

Identified the conformal anomaly via finite-size and Bethe ansatz methods.

Calculated magnetic susceptibility in the presence of an external magnetic field.

Abstract

The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is found via the finite-size computations and also by means of the Bethe ansatz method. In the presence of an external magnetic field, the magnetic susceptibility is derived. The results are also generalized to the case of a chain containing several different spins.