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Title:  Bose-Fermi Mixtures: A Mean-Field Study
Author:  Marin Bukov
As Contributor:   Marin Bukov
Type: Master's
Field: Physics
  • Condensed Matter Physics - Theory
Approach: Theoretical
Degree granting institution:  Ludwig-Maximilians-Universit√§t M√ľnchen
Supervisor(s): Lode Pollet
Defense date:  2013-06-07


We study the low-energy properties of the spinful Bose-Fermi Hubbard model on a simple cubic lattice for attractive fermion-fermion and repulsive boson-boson interactions at half-filling for the fermions and unit-filling for the bosons. Recent DMFT results predict a variety of phases, including superfluids, charge density waves, mixed states and supersolids. We develop a self-consistent mean-field scheme which allows for all orders to appear and determine the ground state of the system by comparing the corresponding energies. In the double superfluid phase, we consider possibilities for exotic extended $s$-, $p$- and $d$-wave boson-assisted superfluidity.

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