Strongly correlated Fermi-Bose mixtures in disordered optical lattices

Details Strongly correlated Fermi-Bose mixtures in disordered optical lattices Strongly correlated Fermi-Bose mixtures in disordered optical lattices

2005-11-30

arxiv.org/abs/cond-mat/0511746v3

Journal of Physics B: Atomic, Molecular and Optical Physics 39 (2006) S121

Physics

Condensed Matter

Other Condensed Matter

Proceedings of the 3rd International Workshop on `Theory of Quantum Gases and Quantum Coherence'

Scientific paper

10.1088/0953-4075/39/10/S12

We investigate theoretically the low-temperature physics of a two-component ultracold mixture of bosons and fermions in disordered optical lattices. We focus on the strongly correlated regime. We show that, under specific conditions, composite fermions, made of one fermion plus one bosonic hole, form. The composite picture is used to derive an effective Hamiltonian whose parameters can be controlled via the boson-boson and the boson-fermion interactions, the tunneling terms and the inhomogeneities. We finally investigate the quantum phase diagram of the composite fermions and we show that it corresponds to the formation of Fermi glasses, spin glasses, and quantum percolation regimes.

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