Two-step condensation of the charged Bose gas

The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magneti...

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Bibliographic Details
Published in:arXiv.org 2012-09
Main Authors: Delgado, R L, Bargueño, P, Sols, F
Format: Article
Language:English
Subjects:
Condensation
Crossovers
Cyclotron frequency
Cyclotrons
Magnetic fields
Magnetism
Phase transitions
Specific heat
Online Access:Get full text
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Summary:The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to \((1/2)N k_B T\) and a gradual condensation at lower temperatures.
ISSN:2331-8422
DOI:10.48550/arxiv.1207.2093