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

Hua Chen·Daniel Mattis
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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.

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Hua Chen, Daniel Mattis. 1994-01-19. Coulomb Correlations and Instability of Spinless Fermion Gas in 1D and 2D. https://doi.org/10.1142/s0217984994000996

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