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Critical behavior of a charged Bose gas

Critical behavior of a charged Bose gas A fully self-consistent Hartre-Fock theory, using the Coulomb interaction screened by the polarization insertions calculated in the self-consistent random-phase approximation, is applied to thed-dimensional, dense, charged Bose gas at temperatures close to the transition temperatureT c . The quasiparticle energy spectrum is calculated and shown to behave atT c like ε(k)=Ak σ for smallk, and σ is calculated as a function of the dimensionalityd. The change in transition temperature from that of an ideal gas at the same density, and of the chemical potential are shown to be given by (T c −T c0 )/T c0 ≈Xr s (d−2)/3 and μ c ≈Yr s 2/3 , wherer s is the ratio of the interparticle spacing to the Bohr radius. Approximate expressions are given for the coefficientsX andY. The critical exponents are calculated, and the system is shown to obey exact scaling. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

Critical behavior of a charged Bose gas

Journal of Low Temperature Physics , Volume 15 (6) – Nov 2, 2004

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References (32)

Publisher
Springer Journals
Copyright
Copyright
Subject
Physics; Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1007/BF00654630
Publisher site
See Article on Publisher Site

Abstract

A fully self-consistent Hartre-Fock theory, using the Coulomb interaction screened by the polarization insertions calculated in the self-consistent random-phase approximation, is applied to thed-dimensional, dense, charged Bose gas at temperatures close to the transition temperatureT c . The quasiparticle energy spectrum is calculated and shown to behave atT c like ε(k)=Ak σ for smallk, and σ is calculated as a function of the dimensionalityd. The change in transition temperature from that of an ideal gas at the same density, and of the chemical potential are shown to be given by (T c −T c0 )/T c0 ≈Xr s (d−2)/3 and μ c ≈Yr s 2/3 , wherer s is the ratio of the interparticle spacing to the Bohr radius. Approximate expressions are given for the coefficientsX andY. The critical exponents are calculated, and the system is shown to obey exact scaling.

Journal

Journal of Low Temperature PhysicsSpringer Journals

Published: Nov 2, 2004

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