Spin-1/2 asymmetric diamond Ising-Heisenberg chain

TL;DR

This paper provides exact solutions for the thermodynamics and ground state properties of a spin-1/2 asymmetric diamond Ising-Heisenberg chain, highlighting effects of anisotropy, frustration, and quantum fluctuations.

Contribution

It introduces an exact analytical approach to study the thermodynamics and ground state of an asymmetric diamond chain with mixed Ising and Heisenberg interactions.

Findings

Exact expressions for free energy, entropy, heat capacity, magnetization, and susceptibility.

Identification of the effects of anisotropy and frustration on magnetic properties.

Analysis of quantum fluctuations' impact on the ground state.

Abstract

The ground state and the thermodynamics of a spin-1/2 asymmetric diamond Ising--Heisenberg chain are considered. For the $XYZ$ anisotropic Heisenberg interaction, the exact calculations of the free energy, entropy, heat capacity, magnetization, and magnetic susceptibility are performed using the method of decoration-iteration transformation. In the case of antiferromagnetic interactions (Ising and $XXZ$ anisotropic Heisenberg ones), the ground state, magnetization process, temperature dependence of the magnetization, magnetic susceptibility, and heat capacity are investigated. The influence of geometric frustration and quantum fluctuations on these characteristics is studied.