Fermions on a torus knot

Article Type

Research Article

Publication Title

European Physical Journal Plus

Abstract

In this work, we investigate the effects of a nontrivial topology (and geometry) of a system considering interacting and noninteracting particle modes, which are restricted to follow a closed path over the torus surface. In order to present a prominent thermodynamical investigation of this system configuration, we carry out a detailed analysis using statistical mechanics within the grand canonical ensemble approach to deal with noninteracting fermions. In an analytical manner, we study the following thermodynamic functions in such context: the Helmholtz free energy, the mean energy, the magnetization and the susceptibility. Further, we take into account the behavior of Fermi energy of the thermodynamic system. Finally, we briefly outline how to proceed in case of interacting fermions.

DOI

10.1140/epjp/s13360-022-02828-y

Publication Date

5-1-2022

Comments

Open Access, Green

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