Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Correlated Electrons: 1D Theory

TT 36.3: Talk

Tuesday, March 13, 2018, 10:00–10:15, HFT-FT 101

Coherence and decoherence in beamsplitters for interacting edge state electrons — Andreas Schulz, •Imke Schneider, Sebastian Eggert, and James Anglin — Department of Physics and Research Center OPTIMAS, University of Kaiserslautern

Recent studies have shown that simple intersections between one-dimensional channels can act as coherent beam splitters for non-interacting electrons. Here we examine how coherent splitting at such quantum wire crossings is affected by inter-particle interactions. We use the one-loop renormalization group to derive the effective impurity which represents the intersection within Luttinger liquid theory at low energy. For the special case of Luttinger K = 1/2, we compute exact time-dependent expectation values of charge density as well as density-density correlation functions. We find that when multiple charge density wave packets encounter the impurity from different directions, reflection and splitting of the packets depends on their relative phases, raising the prospect of Luttinger interferometry.