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Mathematical Physics

arXiv:math-ph/0012010 (math-ph)
[Submitted on 6 Dec 2000 (v1), last revised 5 Jun 2001 (this version, v2)]

Title:The Magnetized Electron Gas in terms of Hurwitz Zeta Functions

Authors:Claudio O. Dib, Olivier R. Espinosa
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Abstract: We obtain explicit expressions for thermodynamic quantities of a relativistic degenerate free electron gas in a magnetic field in terms of Hurwitz Zeta functions. The formulation allows for systematic expansion in all regimes. Three energy scales appear naturally in the degenerate relativistic gas: the Fermi energy Ef, the temperature T and an energy related to the magnetic field or Landau level spacing, eB/Ef. We study the cold and warm scenarios, T << eB/Ef and eB/Ef << T, respectively. We reproduce the oscillations of the magnetization as a function of the field in the cold regime and the dilution of them in the warm regime.
Comments: 33 pages, 6 figures, LaTeX 2e, uses epsf. v2: References added, minor additions to contents
Subjects: Mathematical Physics (math-ph); Astrophysics (astro-ph); Condensed Matter (cond-mat)
Report number: USM-TH-85
Cite as: arXiv:math-ph/0012010
  (or arXiv:math-ph/0012010v2 for this version)
  https://doi.org/10.48550/arXiv.math-ph/0012010
Journal reference: Nucl.Phys.B612:492-518,2001
Related DOI: https://doi.org/10.1016/S0550-3213%2801%2900360-1

Submission history

From: Olivier R. Espinosa [view email]
[v1] Wed, 6 Dec 2000 22:42:45 UTC (229 KB)
[v2] Tue, 5 Jun 2001 13:36:14 UTC (232 KB)
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