Energy fluctuations of a finite free-electron Fermi gas

Jukka P. Pekola, Paolo Muratore-Ginanneschi, Antti Kupiainen, Yuri M. Galperin

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)
276 Downloads (Pure)

Abstract

We discuss the energy distribution of free-electron Fermi-gas, a problem with a textbook solution of Gaussian energy fluctuations in the limit of a large system. We find that for a small system, characterized solely by its heat capacity C, the distribution can be solved analytically, and it is both skewed and it vanishes at low energies, exhibiting a sharp drop to zero at the energy corresponding to the filled Fermi sea. The results are relevant from the experimental point of view, since the predicted non-Gaussian effects become pronounced when C/kB 103 (kB is the Boltzmann constant), a regime that can be easily achieved for instance in mesoscopic metallic conductors at sub-kelvin temperatures.

Original languageEnglish
Article number022123
Pages (from-to)1-4
JournalPhysical Review E
Volume94
Issue number2
DOIs
Publication statusPublished - 18 Aug 2016
MoE publication typeA1 Journal article-refereed

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