Anomalous behavior of ideal Fermi gas below two dimensions

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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14 pages including 3 figures

Scientific paper

10.1140/epjd/e2003-00205-7

Normal behavior of the thermodynamic properties of a Fermi gas in $d>2$ dimensions, integer or not, means monotonically increasing or decreasing of its specific heat, chemical potential or isothermal sound velocity, all as functions of temperature. However, for $02$ (known as the Bose-Einstein condensation), it is nevertheless an intriguing structural anomaly which we exhibit in detail.

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