Tight binding approximation and magnetic susceptibility

TL;DR

This paper investigates the magnetic susceptibility and electronic properties of metals using the tight binding approximation, revealing temperature-dependent behaviors consistent with experimental observations for lithium and potassium.

Contribution

It provides a detailed analysis of magnetic susceptibility and chemical potential variations within the tight binding model, connecting theoretical results with experimental data.

Findings

Susceptibility peaks at low temperature

Chemical potential behavior influenced by Fermi statistics

Susceptibility approaches zero at absolute zero

Abstract

The density of states and chemical potential as functions of temperature and filling degree of energy band were calculated. It was shown the peculiarity of concentration and temperature behavior of chemical potential is stipulated by Fermi statistics in the system with bounded energy spectrum. The magnetic initial susceptibility temperature trend was calculated for the half filled energy band. The sharp susceptibility maximum was obtained at low temperature and the susceptibility approaching to null value at absolute zero temperature was shown. Such behavior is discussed in the connection with the experimental results for lithium and potassium metals.