EXACT GROUND STATES AND CORRELATION FUNCTIONS OF INTERACTING SPINLESS FERMIONS ON TWO-LEGGED LADDER

In this talk, I will describe how the ground state of a two-legged ladder of spinless fermions with infinite nearest-neighbor repulsion can be mapped onto a Fermi sea in three limiting cases: (i) very strong correlated hopping; (ii) very strong hopping along the legs; and (iii) very strong hopping along the rungs. I will then how ground-state correlations in the two-legged ladder can be computed in terms of Fermi sea correlation functions via the use of an intervening particle expansion, before discussing the asymptotic spatial dependence of Fermi-liquid-type, charge-density-wave-type, and superconducting-type correlations in each of the three limiting cases.

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