Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 63: Topology: Quantum Hall Systems
TT 63.7: Vortrag
Mittwoch, 14. März 2018, 16:30–16:45, A 053
Charge and energy fractionalization mechanism in one-dimensional channels — •Matteo Acciai1,2,3, Alessio Calzona1,2,4, Giacomo Dolcetto4, Thomas L. Schmidt4, and Maura Sassetti1,2 — 1Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy — 2SPIN-CNR, Via Dodecaneso 33, 16146 Genova, Italy — 3CNRS, CPT, Aix Marseille Université, Université de Toulon, Marseille, France — 4Physics and Materials Science Research Unit, University of Luxembourg, L-1511, Luxembourg
We study the problem of injecting single electrons into interacting one-dimensional quantum systems, a fundamental building block for electron quantum optics. It is well known that such injection leads to charge and energy fractionalization. We elucidate this concept by calculating the nonequilibrium electron distribution function in the momentum and energy domains after the injection of an energy-resolved electron. Our results shed light on how fractionalization occurs via the creation of particle-hole pairs by the injected electron. In particular, we focus on systems with a pair of counterpropagating channels, and we fully analyze the properties of each chiral fractional excitation which is created by the injection. We suggest possible routes to access their energy and momentum distribution functions in topological quantum Hall or quantum spin-Hall edge states.
Phys. Rev. B 94, 035404 (2016)
Phys. Rev. B 96, 075144 (2017)