Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes

TL;DR

This paper presents an exact solution for a mixed Ising-Heisenberg chain with triangular XXZ-Heisenberg plaquettes, providing detailed thermodynamic and magnetic properties analysis of the model.

Contribution

It introduces a novel exactly solvable model combining Ising and Heisenberg interactions in a chain with triangular plaquettes, solved via decoration-iteration and transfer-matrix methods.

Findings

Derived explicit thermodynamic functions.

Mapped ground state phase diagrams.

Analyzed magnetic properties of the system.

Abstract

A mixed Ising-Heisenberg spin system consisting of triangular XXZ-Heisenberg spin clusters assembled into a chain by alternating with Ising spins interacting to all three spins in the triangle is considered. The exact solution of the model is given in terms of the generalized decoration--iteration map and within the transfer-matrix technique. Exact expressions for thermodynamic functions are derived. Ground state phase diagrams, thermodynamic and magnetic properties of the system are examined.