Fermions on a torus knot
arXiv:2108.07336 · doi:10.1140/epjp/s13360-022-02828-y
Abstract
In this work, we investigate the effects of a nontrivial topology (and geometry) of a system considering \textit{interacting} and \textit{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 \textit{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 \textit{interacting} fermions.
25 pages, and 13 figures
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Cited by in corpus (7)
- Higher-derivative Lorentz-breaking dispersion relations: a thermal description
- How does geometry affect quantum gases?
- Bouncing universe in a heat bath
- Particles in Loop Quantum Gravity formalism: a thermodynamical description
- Thermodynamics of massless particles in curved spacetime
- Thermodynamics of a quantum ring modified by Lorentz violation
- Quantum gases on a torus