Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D
arXiv:cond-mat/9401037 · doi:10.1142/S0217984994000996
Abstract
We study the stability of the ordinary Landau Fermi liquid phase for interacting, spinless electrons. We require causality and demand that the Pauli principle be obeyed. We find a phase diagram determined by two parameters: the particle density and the interaction strength. We find that the homogeneous, constant density Fermi liquid phase of a spinless Fermion gas is {\em never} stable in 1D, but that it may have a restricted domain of stability in 2D.
arXiv comment11 Latex pages + 3 PostScript figures (spin0_1D.PS, spin0_2D.PS, spin0_PH.PS)