Abstract.
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 0 < d < 2 dimensions these properties develop a "hump" (or "trough") which increases (or deepens) as \( d\rightarrow 0\). 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 the Bose-Einstein condensation), it is nevertheless an intriguing structural anomaly which we exhibit in detail.
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Received: 4 February 2003, Published online: 15 July 2003
PACS:
71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.) - 05.30.Fk Fermion systems and electron gas - 05.70.Ce Thermodynamic functions and equations of state - 71.10.-w Theories and models of many-electron systems - 71.10.Ca Electron gas, Fermi gas
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Grether, M., de Llano, M. & Solís, M.A. Anomalous behavior of ideal Fermi gas below two dimensions. Eur. Phys. J. D 25, 287–291 (2003). https://doi.org/10.1140/epjd/e2003-00205-7
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DOI: https://doi.org/10.1140/epjd/e2003-00205-7