Publication Details:

Established in 2008

Journal or Publication Title:

Armenian Journal of Physics=Ֆիզիկայի հայկական հանդես

Date of publication:

2025

Volume:

18

Number:

3

ISSN:

1829-1171

Official URL:

Coverage:

31-37

Abstract:

We present a theoretical study of the thermodynamics of a one-dimensional electron gas in the presence of a single attractive finite square-well. The bound-state spectrum of the well is obtained by solving the even and odd parity matching conditions for the wavefunctions, while the continuum of scattering states is treated using a phase-shift method to account for its contribution to the density of states. From this analysis we construct the well contribution to the grand thermodynamic potential, which in turn allows us to calculate excess thermodynamic quantities (per well) such as the entropy and heat capacity in the fixed-number ensemble. Our results show that the presence of the well induces qualitative changes in the thermodynamic behavior: in particular, we find a pronounced peak in the heat capacity as a function of temperature due to the presence of the well. This heat-capacity anomaly is a direct consequence of the bound states and their interplay with the temperature dependence of chemical potential.

Format:

pdf

Identifier:

oai:arar.sci.am:415716

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան