Exact Statistical Thermodynamics of the Pseudospin-1 System on the Diced Lattice

TL;DR

This paper provides an exact analysis of the thermodynamic properties of a pseudospin-1 system on the diced lattice, including calculations of the partition function, thermodynamic potential, entropy, and specific heat.

Contribution

It presents the first exact derivation of thermodynamic quantities for the pseudospin-1 Hamiltonian on the diced lattice, covering both degenerate and non-degenerate regimes.

Findings

Exact expressions for thermodynamic potential, entropy, and specific heat.

Analysis of thermodynamic behavior in different regimes.

Insights into pseudospin-1 system properties on the diced lattice.

Abstract

In this work we analyze the thermodynamic properties of the pseudospin-1 Hamiltonian on the two-dimensional {\cal{T}} -3 or Diced Lattice. Starting from the Partition function, we obtain the Grand ensemble thermodynamic potential, entropy and specific heat exactly and in the degenerate and non-degenerate regimes.