Journal de Physique I

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DOI: 10.1051/jp1:1995211
J. Phys. I France 5 (1995) 1481-1486

Two-Dimensional Fermi Gas at Half Filling is a Luttinger Liquid

E. Batkilin

Department of Physics, Technion - Israel Institute of Technology, 32000 Haifa, Israel

(Received 27 April 1995, accepted 6 July 1995)

Abstract
It is shown that in a model with a regular long range interaction, a 2D fermion gas at half filling of the band is a Luttinger Liquid. It is found that under certain conditions the jump in the momentum distribution of such a gas at the Fermi surface depends on the filling factor $\nu$ in the form $\sim \vert(2\nu-1)/\Lambda\vert^{2\alpha}$ , where $\Lambda^$ is the range of the interaction and $\alpha$ is a positive function of the position k on the Fermi surface. The jump vanishes when $\nu=1/2$ .