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Holstein model and Peierls instability in 1D boson-fermion lattice gases

arXiv:cond-mat/0408269 · doi:10.1103/PhysRevA.72.033609

Abstract

We study an ultracold bose-fermi mixture in a one dimensional optical lattice. When boson atoms are heavier then fermion atoms the system is described by an adiabatic Holstein model, exhibiting a Peierls instability for commensurate fermion filling factors. A Bosonic density wave with a wavenumber of twice the Fermi wavenumber will appear in the quasi one-dimensional system.

5 pages, 4 figures