1D Fermions and Bosons beyond the Luttinger Liquid Picture
When: April 11, 2008 (Fri), 12:00PM to 01:00PM
Note: Pizza served at 11:30 AM
Hosted by:
Anatoli Polkovnikov
Speaker: Leonid Glazman, Yale University
This event is part of the Condensed Matter Seminar Series. All seminars will take place in the Metcalf Science Center, Room 352 at noon, unless otherwise noted
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.