Dresden 2020 – wissenschaftliches Programm

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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 interactionsSebastian Huber1 and •Marcus Kollar21Theoretical 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

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