Application of Tsallis formalism to study entropy and specific heat of V-groove quantum wires

Abstract

In this work, we have investigated thermodynamic properties of V-groove quantum wires using Tsallis formalism. First, the energy levels of the system have been obtained analytically by solving the Schrodinger equation. Then, we have applied Tsallis formalism to obtain entropy and specific heat of the system. There are several peaks in specific heat and their locations depend on quantum wire sizes. The specific heat decreases with decreasing temperature, approaching zero at a particular temperature The entropy increases with the increase in the wire size. We have found that the specific heat and entropy have certain physically meaningful values, which mean thermodynamic properties cannot take any continuous value, unlike classical thermodynamics in which, they are considered as continuous quantities. We have concluded that, as long as the confinement is strong, discrete nature of thermodynamic properties become more apparent in nanoscale. We have shown that the entropy and specific heat are strongly dependent on q parameter.