The equation of state and specific heat of the electron gas on a one dimensional lattice

TL;DR

This paper derives an expression for the specific heat of a degenerate non-relativistic electron gas on a one-dimensional lattice, revealing a non-linear temperature dependence with potential applications in organic metal research.

Contribution

It provides a new thermodynamic expression for the specific heat of 1D lattice electron gases, extending prior theoretical models.

Findings

Specific heat is a non-linear function of temperature.

Results applicable to quasi one-dimensional organic metals.

Abstract

Using previous results and general thermodynamical formalism,an expression is obtained for the specific heat per particle under constant volume of a degenerate non-relativistic electron gas on a 1D lattice.The result is a non-linear function of the temperature,and it could have applications in studies of quasi one-dimensional organic metals.