Eur. Phys. J. D 25, 287-291 (2003)
https://doi.org/10.1140/epjd/e2003-00205-7

Anomalous behavior of ideal Fermi gas below two dimensions

¹ Facultad de Ciencias, UNAM, Apdo. Postal 70-542, 04510 México DF, Mexico
² Instituto de Investigaciones en Materiales, UNAM, Apdo. Postal 70-360, 04510 México DF, Mexico
³ Department of Physics, Washington University, St. Louis, Missouri 63130, USA and Instituto de Física, UNAM, Apdo. Postal 20-364, 01000 México DF, Mexico

Corresponding author: ^a masolis@hbar.wustl.edu

Received: 4 February 2003
Published online: 15 July 2003

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 . 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.