Some Electronic Properties of Metals through q-Deformed Algebras

TL;DR

This paper investigates how q-deformed algebras influence the electronic properties of metals, revealing that q-deformation models disorder effects and alters electron density and thermodynamic behavior.

Contribution

It introduces a q-deformed algebraic framework to analyze metallic thermodynamics, highlighting the role of q-deformation in modifying electronic and structural properties.

Findings

q-deformation acts as a disorder factor

Modifies the Sommerfeld parameter and electronic specific heat

Controls electron density in crystalline structures

Abstract

We study the thermodynamics of metals by applying q-deformed algebras. We shall mainly focus our attention on q-deformed Sommerfeld parameter as a function of q-deformed electronic specific heat. The results revealed that q-deformation acts as a factor of disorder or impurity, modifying the characteristics of a crystalline structure and thereby controlling the number of electrons per unit volume.