Form invariant Sommerfeld electrical conductivity in generalised d dimensions
Muktish Acharyya
TL;DR
This paper demonstrates that the mathematical form of Sommerfeld electrical conductivity remains invariant across any generalized spatial dimensions using a Boltzmann kinetic approach.
Contribution
It extends the understanding of electrical conductivity invariance to arbitrary dimensions within the Boltzmann framework.
Findings
Mathematical form of conductivity is invariant in all dimensions at T=0.
Provides a generalized theoretical framework for conductivity in d dimensions.
Highlights the dimensional independence of Sommerfeld conductivity form.
Abstract
The Sommerfeld electrical conductivity is calculated in d dimensions following Boltzmann kinetic approach. At T=0, the mathematical form of the electrical conductivity is found to remain invariant in any generalised spatial (d) dimensions.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Spectroscopy and Quantum Chemical Studies · Cold Atom Physics and Bose-Einstein Condensates