1D Fermions and Bosons beyond the Luttinger Liquid Picture

Note: Pizza served at 11:30 AM
Speaker: Leonid Glazman, Yale University

When: April 11, 2008 (Fri), 12:00PM to 01:00PM (add to my calendar)
Location: SCI 352
Hosted by: Anatoli Polkovnikov

This event is part of the Biophysics/Condensed Matter Seminar Series.

Abstract:
We consider the effect of a generic nonlinear dispersion relation on the dynamics of one-dimensional fermions or bosons. The dispersion nonlinearity restores the main feature of the Fermi liquid: In a striking departure from the Luttinger liquid theory, the spectral function acquires a finite-width Lorentzian peak at the particle mass-shell. The nonlinear dispersion leads also to broadening of the dynamic structure factor peak. The resulting peak shapes for bosons or fermions are manifestly non-Lorentzian, with newly-discovered power-law singularities. The origin of this new non-analytical behavior of 1D fermions and bosons is related to the familiar physics of the Fermi-edge singularity.