Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D

Details Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D

1994-01-19

arxiv.org/abs/cond-mat/9401037v1

Physics

Condensed Matter

11 Latex pages + 3 PostScript figures (spin0_1D.PS, spin0_2D.PS, spin0_PH.PS)

Scientific paper

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.

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