Exact results for the thermal and magnetic properties of strong coupling ladder compounds

TL;DR

This paper provides exact analytical results for the thermal and magnetic properties of strong coupling ladder compounds using an integrable su(4) ladder model and quantum transfer matrix methods, matching experimental data.

Contribution

It introduces an exact solution approach for the thermodynamics of strong coupling ladder compounds using the integrable su(4) model and high temperature expansion techniques.

Findings

Excellent agreement between theoretical and experimental data.

Accurate calculations of susceptibility, specific heat, entropy, and magnetization.

Validation of the integrable model for real ladder compounds.

Abstract

We investigate the thermal and magnetic properties of the integrable su(4) ladder model by means of the quantum transfer matrix method. The magnetic susceptibility, specific heat, magnetic entropy and high field magnetization are evaluated from the free energy derived via the recently proposed method of high temperature expansion for exactly solved models. We show that the integrable model can be used to describe the physics of the strong coupling ladder compounds. Excellent agreement is seen between the theoretical results and the experimental data for the known ladder compounds (5IAP)$_2$CuBr$_4$$\cdot$2H$_2$O, Cu$_{2}$(C$_5$H$_{12}$N$_2$)$_2$Cl$_4$ etc.