Version 1
: Received: 18 March 2024 / Approved: 19 March 2024 / Online: 19 March 2024 (05:15:37 CET)
How to cite:
Palenskis, V. New Insight into Electric Force in Metal and the Quadratic Electrical Resistivity Law of Metals at Low Temperatures. Preprints2024, 2024031083. https://doi.org/10.20944/preprints202403.1083.v1
Palenskis, V. New Insight into Electric Force in Metal and the Quadratic Electrical Resistivity Law of Metals at Low Temperatures. Preprints 2024, 2024031083. https://doi.org/10.20944/preprints202403.1083.v1
Palenskis, V. New Insight into Electric Force in Metal and the Quadratic Electrical Resistivity Law of Metals at Low Temperatures. Preprints2024, 2024031083. https://doi.org/10.20944/preprints202403.1083.v1
APA Style
Palenskis, V. (2024). New Insight into Electric Force in Metal and the Quadratic Electrical Resistivity Law of Metals at Low Temperatures. Preprints. https://doi.org/10.20944/preprints202403.1083.v1
Chicago/Turabian Style
Palenskis, V. 2024 "New Insight into Electric Force in Metal and the Quadratic Electrical Resistivity Law of Metals at Low Temperatures" Preprints. https://doi.org/10.20944/preprints202403.1083.v1
Abstract
: Considering that Einstein's relation between the diffusion coefficient and the drift mobility of the free randomly moving charge carriers in homogeneous materials including metals is always valid, it is shown that the effective electric force acting on free electrons in metal depends on the ratio between the kinetic free electron energy at the Fermi surface to the classical particle energy 3kT/2. The electrical resistivity of elemental metals dependence on very low temperatures has the quadratic term, which has been explained by electron-electron scattering. In this paper, it is shown that the quadratic term of the electrical resistivity at low temperatures is caused by scattering of the free RM electrons by electronic defects due to linear effective free electron scattering cross-section dependence on temperature, but not by electron-electron scattering.
Keywords
effective density of randomly moving (RM) electrons; density of states (DOS); mean free electron path; effective electric force; electronic defects; effective scattering cross-section; quadratic electrical resistivity law at low temperatures
Subject
Physical Sciences, Condensed Matter Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
