Phases of the two-band model of spinless fermions in one dimension

Details Phases of the two-band model of spinless fermions in one dimension Phases of the two-band model of spinless fermions in one dimension

1999-10-13

arxiv.org/abs/cond-mat/9910187v1

Phys. Rev. B 61, 2497 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures

Scientific paper

10.1103/PhysRevB.61.2497

We study the two-band model of spinless fermions in one dimension for weak repulsive interactions. In this case, the model is equivalent to the weakly interacting spinless two-leg ladder. We obtain analytic expressions for the superconducting pairing correlation function and the charge density correlation function, which show, that a finite interchain hopping t_p results in dominant superconductivity for repulsive interactions (for vanishing t_p, we recover previous results). We furthermore find that the transition from the superconducting phase to the usual one-dimensional (Luttinger) metal at large doping occurs via a mixed phase, where superconducting pairs are formed in the bonding band only. We give the phase diagram as a function of temperature and doping.

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