Thermodynamic properties of the exactly solvable transverse Ising model on decorated planar lattices

TL;DR

This paper provides an exact solution for the thermodynamic properties of the transverse Ising model on decorated planar lattices, highlighting the effects of transverse fields on magnetic behavior and phase diagrams.

Contribution

It introduces a generalized mapping transformation technique to solve the model exactly for various lattices and spins, focusing on thermodynamic and magnetic properties.

Findings

Phase diagrams and compensation temperatures analyzed

Transverse-field effects on magnetic properties studied

Exact thermodynamic quantities calculated

Abstract

The generalized mapping transformation technique is used to obtain the exact solution for the transverse Ising model on decorated planar lattices. Within this scheme, the basic thermodynamic quantities are calculated for different planar lattices with arbitrary spins of decorating atoms. The particular attention has been paid to the investigation of the transverse-field effects on magnetic properties of the system under investigation. The most interesting numerical results for the phase diagrams, compensation temperatures and several thermodynamic quantities are discussed in detail for the ferrimagnetic version of the model.