Superconductivity from Repulsion: A Variational View

Details Superconductivity from Repulsion: A Variational View Superconductivity from Repulsion: A Variational View

1999-03-23

arxiv.org/abs/cond-mat/9903343v2

Physics

Condensed Matter

Superconductivity

10 pages Latex, 3 figures; Revised Version, to appear as a Letter in Journal of Physics A, vol32, Issue 29, 23 July 1999

Scientific paper

10.1088/0305-4470/32/29/101

This work present a new class of variational wave functions for fermi systems in any dimension. These wave functions introduce correlations between Cooper pairs in different momentum states and the relevant correlations can be computed analytically. At half filling we have a ground state with critical superconducting correlations, that is argued to be exact for the model considered. We find large enhancements in a Cooper pair correlation function caused purely by the interplay between the uncertainty principle, repulsion and the proximity of half filling. This is surprising since there is no accompanying signature in usual charge and spin response functions, and typifies a novel kind of many body cooperative behaviour.

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