Informal Seminar on Disorder and strong electron correlations: "One-dimensional fermions beyond the Luttinger liquid paradigm"
ICTP (Main Building Lecture Room C)
(Georgia Institute of Technology, Atlanta)
In this presentation I will review our recent work on dynamic correlations in a system of one-dimensional fermions with a nonlinear dispersion. It turns out that in the presence of interactions the nonlinear dispersion results in new universal features in the frequency and the wave vector dependence of the dynamic structure factor (density-density correlation function). These features are similar in origin to the well-known Fermi-edge singularities in the X-ray absorption spectra of metals. Besides being of interest for its own sake, detailed understanding of the structure factor is crucial for the description of a variety of transport phenomena that owe their existence to the particle-hole asymmetry, such as Coulomb drag, thermopower, and photovoltaic effect, as well as for the description of inelastic neutron scattering off antiferromagnetic spin chains.
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