From the Cooper Problem to Canted Supersolids in Bose-Fermi Mixtures

Peter Anders, Philipp Werner, Matthias Troyer, Manfred Sigrist, and Lode Pollet
Phys. Rev. Lett. 109, 206401 – Published 13 November 2012

Abstract

We calculate the phase diagram of the Bose-Fermi Hubbard model on the 3d cubic lattice at fermionic half filling and bosonic unit filling by means of single-site dynamical mean-field theory. For fast bosons, this is equivalent to the Cooper problem in which the bosons can induce s-wave pairing between the fermions. We also find miscible superfluid and canted supersolid phases depending on the interspecies coupling strength. In contrast, slow bosons favor fermionic charge density wave structures for attractive fermionic interactions. These competing instabilities lead to a rich phase diagram within reach of cold gas experiments.

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  • Received 28 March 2012

DOI:https://doi.org/10.1103/PhysRevLett.109.206401

© 2012 American Physical Society

Authors & Affiliations

Peter Anders1, Philipp Werner2,1, Matthias Troyer1, Manfred Sigrist1, and Lode Pollet1,3

  • 1Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
  • 2Department of Physics, University of Fribourg, 1700 Fribourg, Switzerland
  • 3Department of Physics and Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, D-80333 München, Germany

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Issue

Vol. 109, Iss. 20 — 16 November 2012

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