The fate of 1D spin-charge separation away from Fermi points

Abstract

We consider the dynamic response functions of interacting one dimensional spin-1/2 fermions at arbitrary momenta. We build a non-perturbative zero-temperature theory of the threshold singularities using mobile impurity Hamiltonians. The interaction induced low-energy spin-charge separation and power-law threshold singularities survive away from Fermi points. We express the threshold exponents in terms of the spinon spectrum.

5 pages, 1 figure

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• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Dynamic response of one-dimensional interacting fermions
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