Pauli spin paramagnetism and electronic specific heat in generalised d-dimensions

TL;DR

This paper investigates how Pauli spin paramagnetism and electronic specific heat vary with temperature in solids across different dimensions, revealing unique behaviors such as temperature independence in two dimensions.

Contribution

It extends the analysis of electronic properties to generalized d-dimensions, providing new insights into dimensional effects on magnetic susceptibility and specific heat.

Findings

Susceptibility becomes temperature-independent in two dimensions.

Results align with three-dimensional cases at specific limits.

Provides a generalized framework for electronic properties in various dimensions.

Abstract

The temperature variations of Pauli spin paramagnetic susceptibility and the electronic specific heat of solids, are calculated as functions of temperature following the free electron approximation, in generalised d-dimensions. The results are compared and become consistent with that obtained in three dimensions. Interestingly, the Pauli spin paramagnetic susceptibility becomes independent of temperature only in two dimensions.