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Phys. Rev. A 72, 033609 (2005) [5 pages]

Holstein model and Peierls instability in one-dimensional boson-fermion lattice gases

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E. Pazy and A. Vardi
Department of Chemistry, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel

Received 12 August 2004; published 13 September 2005

We study an ultracold Bose-Fermi atomic 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 wave number of twice the Fermi wave number will appear in the quasi-one-dimensional system, due to the opening of a gap at the Fermi energy in the fermion spectrum.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.033609
DOI:
10.1103/PhysRevA.72.033609
PACS:
03.75.Kk, 03.75.Lm, 03.75.Ss