Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-04-25
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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