Superfluid-Insulator Transition and Fermion Pairing in Bose-Fermi Mixtures

Details Superfluid-Insulator Transition and Fermion Pairing in Bose-Fermi Mixtures Superfluid-Insulator Transition and Fermion Pairing in Bose-Fermi Mixtures

2007-07-28

arxiv.org/abs/0707.4189v2

Phys. Rev. B 77, 085115 (2008)

Physics

Condensed Matter

Superconductivity

Expanded version as appeared in print

Scientific paper

10.1103/PhysRevB.77.085115

It is well known that bosons on an optical lattice undergo a second-order superfluid-insulator transition (SIT) when the lattice potential increases. In this paper we study SIT when fermions coexist with the bosons. We find that the critical properties of particle-hole symmetric SIT with dynamical exponent z=1 is modified when fermions are present; it either becomes a fluctuation-driven first order transition or a different second-order transition. On the other hand the more generic particle-hole asymmetric (with z=2) SIT is stable against coupling with fermions. We also discuss pairing interaction between fermions mediated by quantum critical fluctuations near SIT.

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