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TT: Fachverband Tiefe Temperaturen
TT 19: Low Dimensional Systems: Other Topics
TT 19.1: Vortrag
Montag, 16. März 2020, 17:00–17:15, HSZ 103
Luttinger liquids with inhomogeneous interactions — Sebastian Huber1 and •Marcus Kollar2 — 1Theoretical Solid State Physics, Ludwig- Maximilians-University, Munich, Germany — 2Theoretical Physics III, University of Augsburg, Germany
We study a generalization of the two-flavor spinless
Tomonaga-Luttin-ger model which includes inhomogeneous local
interactions and scattering potentials. For a wide range of parameters
we obtain the spectrum and Green function exactly using Kronig
identities with momentum transfer [1]. 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’ [2].
[1] S. Huber, M. Kollar, Verhandl. DPG (VI) 52, 2/TT24.1 (2017)
[2] S. Huber, M. Kollar, arXiv:1911.03158