Spinless fermions ladders at half filling

Details Spinless fermions ladders at half filling Spinless fermions ladders at half filling

2000-07-21

arxiv.org/abs/cond-mat/0007336v1

Phys. Rev. B 63, 045121 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages, 6 figures, uses revtex4 beta4 and natbib(included); submitted to PRB

Scientific paper

10.1103/PhysRevB.63.045121

We study a half filled ladder of spinless fermions. We show that contrarily to a single chain, the ladder becomes a Mott insulator for arbitrarily small repulsive interactions. We obtain the full phase diagram and physical quantities such as the charge gap. We show that there is only a single insulating phase for repulsive interactions, regardless of the stength of the interchain hopping and single chain Mott gap. There is thus no confinement-deconfinement transition in this system but a simple crossover. We show that upon doping the system becomes a Luttinger liquid with a universal parameter $K=1/2$ different from the one of the single chain ($K=1/4$).

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