SKM 2021 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 9: Poster Session: Correlated Electrons
TT 9.38: Poster
Tuesday, September 28, 2021, 13:30–16:00, P
Luttinger liquids with inhomogeneous interactions — Sebastian Huber1 and •Marcus Kollar2 — 1Theoretical Solid State Physics, Ludwig-Maximilians-University, Munich, Germany; current address: Institute for Solid-State Physics, TU Wien, Austria — 2Theoretical Physics III, University of Augsburg, Germany
We study a generalization of the two-flavor spinless Tomonaga-Luttinger model which includes inhomogeneous local interactions and scattering potentials [1]. For a wide range of parameters we obtain the spectrum and Green function exactly using Kronig identities with momentum transfer. While Green functions have a power-law form as in homogeneous Luttinger liquids, a sufficiently strong position dependence of the interaction breaks their translational invariance. Furthermore, the Luttinger-liquid interrelations between excitation velocities and Green
function exponents are modified in such Luttinger droplets.
[1] S. Huber, M. Kollar, Phys. Rev. Research 2, 043336 (2020)