Energy Band and Thermodynamics

TL;DR

This paper investigates how thermodynamic functions depend on energy band occupation and temperature within a one-band tight binding model, highlighting differences from free electron gas behavior.

Contribution

It provides detailed calculations of thermodynamic quantities in the tight binding approximation, revealing unique features due to limited energy spectrum.

Findings

Distinct behavior of thermodynamic functions compared to free electron gas

Calculation of key quantities like Fermi energy, entropy, and heat capacity

Identification of peculiarities caused by limited energetic spectrum

Abstract

The behavior of various thermodynamic functions in the dependence of degree of energy band occupation and temperature in the one-band tight binding approximation for the crystal was studied. The Fermi energy, density of states, degeneracy temperature, chemical potential, partition function, thermodynamic po-tential, energy, free energy, entropy, heat capacity, spin magnetization and initial susceptibility were calculated. The limited energetic spectrum leads to the peculiarities in the behavior of these quantities in comparison with free electron gas.