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Normal behavior of the thermodynamic properties of a Fermi gas in $d>2$dimensions, integer or not, means monotonically increasing or decreasing of itsspecific heat, chemical potential or isothermal sound velocity, all asfunctions of temperature. However, for $0<d<2$ dimensions these propertiesdevelop a ``hump'' (or ``trough'') which increases (or deepens) as $d\to 0$.Though not the phase transition signaled by the sharp features (``cusp'' or``jump'') in those properties for the ideal Bose gas in $d>2$ (known as theBose-Einstein condensation), it is nevertheless an intriguing structuralanomaly which we exhibit in detail.Comment: 14 pages including 3 figure

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Anomalous behavior of ideal Fermi gas below two dimensions