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

2004/08/12 by E. Pazy, Amichay Vardi, A. Vardi · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other

paper · pdf · doi:10.1103/physreva.72.033609

published as Phys. Rev. A 72, 033609 (2005) · 5 pages, 4 figures

arxiv created 2004/08/12 · openalex publication_date 2005/09/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

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