Specific heat of Bosons in a lattice

TL;DR

This paper theoretically investigates the specific heat of bosons in a cubic lattice, focusing on non-interacting bosons and Tonks gas, revealing temperature-dependent behaviors and effects near the Mott transition.

Contribution

It provides new insights into the specific heat behavior of bosons in lattice systems, especially near the Mott transition, extending previous models.

Findings

Specific heat varies significantly above Bose condensation temperature.

Tonks gas shows increased low-temperature specific heat near Mott transition.

Temperature dependence differs from free bosons in lattice systems.

Abstract

We present a theoretical study of specific heat of bosons ($C_v$) in a simple cubic lattice. We have studied the non-interacting bosons and the Tonks gas. For both cases, the $C_v$ above the bose condensation temperature shows considerable temperature dependence compared to that of free bosons. For Tonks gas, we find that the low-temperature specific heat increases as the system gets closer to the Mott transition.