The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit

Details The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit

2007-09-14

arxiv.org/abs/0709.2386v2

Physics

Condensed Matter

Other Condensed Matter

11 pages, 15 figures, 2nd, revised version

Scientific paper

10.1103/PhysRevA.77.023601

We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model with dichotomic values of the stochastic variables. Phase boundaries between compressible, incompressible (Mott-insulating) and partially compressible phases are derived analytically within a generalized strong-coupling expansion and numerically using density matrix renormalization group (DMRG) methods. We show that first-order correlations in the partially compressible phases decay exponentially, indicating a glass-type behaviour. Fluctuations within the respective incompressible phases are determined using perturbation theory and are compared to DMRG results.

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