3 years ago

Composite Fermions and their Pair States in a Strongly-Coupled Fermi Liquid.

She-Sheng Xue, Hagen Kleinert

Our goal is to understand the phenomena arising in optical lattice fermions at low temperature in an external magnetic field. Varying the field, the attraction between any two fermions can be made arbitrarily strong, where composite bosons form via so-called Feshbach resonances. By setting up strong-coupling equations for fermions, we find that in spatial dimension $d>2$ they couple to bosons which dress up fermions and lead to new massive composite fermions. At low enough temperature, we obtain the critical temperature at which composite bosons undergo the Bose-Einstein condensate (BEC), leading to BEC-dressing massive fermions. These form tightly bound pair states which are new bosonic quasi-particles producing a BEC-type condensate. This may be the origin of high-$T_c$ superconductivity and a similar form of composite superfluidity. A quantum critical point is found and the formation of condensates of complex quasi-particles is speculated over.

Publisher URL: http://arxiv.org/abs/1708.04023

DOI: arXiv:1708.04023v3

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