Exact solution of Ising model of an alternating delta spin chain

TL;DR

This paper presents an exact solution to the Ising model on an alternating delta spin chain, calculating thermodynamic properties and revealing no finite-temperature phase transition but a Schottky anomaly in specific heat.

Contribution

The paper provides the first exact solution for the Ising model on an alternating delta spin chain using transfer matrix methods.

Findings

No phase transition at finite temperature.

Specific heat exhibits a Schottky anomaly.

Thermodynamic quantities are explicitly calculated.

Abstract

The Ising model on an alternating triangular lattice with the nearest-neighbor interaction in a magnetic field is presented. Exact solution of this model is found. The thermodynamic quantities, like free energy, specific heat a finite temperature and function correlaction, are calculated by treatment based on the transfer matrix method. Our results show that the model proposed does not have phase transition to a finite temperature, but the curve of specific heat presented a Schottky anomaly.