J. Phys. I France 5 (1995) 1481-1486
Two-Dimensional Fermi Gas at Half Filling is a Luttinger LiquidE. Batkilin
Department of Physics, Technion - Israel Institute of Technology, 32000 Haifa, Israel
(Received 27 April 1995, accepted 6 July 1995)
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 in the form , where is the range of the interaction and is a positive function of the position k on the Fermi surface. The jump vanishes when .
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