Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and   2D
  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. 
Hua Chen and Daniel Mattis (Department of Physics, University of Utah   Salt Lake City, Utah, USA)