On the nonlinear response of a particle interacting with fermions in a 1D lattice

Details On the nonlinear response of a particle interacting with fermions in a 1D lattice On the nonlinear response of a particle interacting with fermions in a 1D lattice

2010-04-25

arxiv.org/abs/1004.4353v1

J.Stat.Mech.1012:L12003,2010

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1088/1742-5468/2010/12/L12003

By the Bethe ansatz method we study the energy dispersion of a particle interacting by a local interaction with fermions (or hard core bosons) of equal mass in a one dimensional lattice. We focus on the period of the Bloch oscillations which turns out to be related to the Fermi wavevector of the Fermi sea and in particular on how this dispersion emerges as a collective effect in the thermodynamic limit. We show by symmetry that the dispersion is temperature independent for a half-filled system. We also discuss the adiabatic coherent collective response of the particle to an applied field.

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