Distribution functions for a two-dimensional non-interacting quantum electron gas in an external magnetic field

Autor:	Fred Lado
Rok vydání:	2003
Předmět:	Physics Biophysics Landau quantization Quantum Hall effect Condensed Matter Physics Boltzmann distribution Magnetic field Quantum state Quantum electrodynamics Quantum mechanics Plasma parameter Physical and Theoretical Chemistry Fermi gas Molecular Biology Quantum
Zdroj:	Molecular Physics. 101:1635-1639
ISSN:	1362-3028 0026-8976
Popis:	The exact n-body distribution functions are calculated for a two-dimensional, non-interacting quantum electron gas in an external magnetic field for any temperature and density. At low tempertures and filled lowest Landau level (LLL), these functions are identical to the exact distribution functions obtained by Jancovici [1981, Phys. Rev. Lett., 46, 386] for the classical two-dimensional one-component plasma (2DOCP) at the special plasma parameter Γ = 2, thus establishing that the 2DOCP provides an exact classical Boltzmann factor which describes the ideal LLL quantum state associated with the integral quantum Hall effect.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b3469f8546eb46ae269a4f7399f5b94c https://doi.org/10.1080/00268970310000755642 Zobrazit plný text záznamu