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Anomalous behavior of ideal Fermi gas below two dimensions
Normal behavior of the thermodynamic properties of a Fermi gas in
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 dimensions these properties
develop a ``hump'' (or ``trough'') which increases (or deepens) as .
Though not the phase transition signaled by the sharp features (``cusp'' or
``jump'') in those properties for the ideal Bose gas in (known as the
Bose-Einstein condensation), it is nevertheless an intriguing structural
anomaly which we exhibit in detail.Comment: 14 pages including 3 figure
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