Specific heat of the mixed spin-1/2 and spin-S Ising model with a rope ladder structure

TL;DR

This paper investigates the specific heat behavior of a mixed spin-1/2 and spin-S Ising model on a rope ladder using exact analytical transformations and solutions, revealing detailed thermal properties.

Contribution

It introduces an exact analytical approach combining decoration-iteration and transfer-matrix methods to solve the mixed-spin Ising model on a complex ladder structure.

Findings

Exact solutions for the specific heat as a function of temperature.

Thermal variation patterns of the specific heat.

Mapping of the complex model to a simpler spin-1/2 ladder model.

Abstract

The mixed spin-1/2 and spin-S (S>1/2) Ising model on a rope ladder is examined by combining two exact analytical methods. By the decoration-iteration mapping transformation, this mixed-spin system is firstly transformed to a simple spin-1/2 Ising model on the two-leg ladder, which is then exactly solved by the standard transfer-matrix method. The thermal variations of the zero-field specific heat are discussed in particular.