Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators

Coulomb interaction has important consequences for the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and the charge of collective plasmon modes compared to that of free electrons. Despite these effects,...

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Main Authors: Alexandre Gourmelon, Hiroshi Kamata, Jean-Marc Berroir, Gwendal Fève, Bernard Plaçais, Erwann Bocquillon
Format: Article
Language:English
Published: American Physical Society 2020-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043383
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author Alexandre Gourmelon
Hiroshi Kamata
Jean-Marc Berroir
Gwendal Fève
Bernard Plaçais
Erwann Bocquillon
author_facet Alexandre Gourmelon
Hiroshi Kamata
Jean-Marc Berroir
Gwendal Fève
Bernard Plaçais
Erwann Bocquillon
author_sort Alexandre Gourmelon
collection DOAJ
description Coulomb interaction has important consequences for the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and the charge of collective plasmon modes compared to that of free electrons. Despite these effects, interactions remain difficult to quantify. We propose here simple and robust edge resonator geometries to characterize Coulomb interaction by means of high-frequency measurements. They rely on a transmission line approach and take advantage of the impedance mismatch between the edge states and their microwave environment.
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spelling doaj.art-23e7ce77b025447b8fffda011b2a66f92024-04-12T17:05:24ZengAmerican Physical SocietyPhysical Review Research2643-15642020-12-012404338310.1103/PhysRevResearch.2.043383Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonatorsAlexandre GourmelonHiroshi KamataJean-Marc BerroirGwendal FèveBernard PlaçaisErwann BocquillonCoulomb interaction has important consequences for the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and the charge of collective plasmon modes compared to that of free electrons. Despite these effects, interactions remain difficult to quantify. We propose here simple and robust edge resonator geometries to characterize Coulomb interaction by means of high-frequency measurements. They rely on a transmission line approach and take advantage of the impedance mismatch between the edge states and their microwave environment.http://doi.org/10.1103/PhysRevResearch.2.043383
spellingShingle Alexandre Gourmelon
Hiroshi Kamata
Jean-Marc Berroir
Gwendal Fève
Bernard Plaçais
Erwann Bocquillon
Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
Physical Review Research
title Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
title_full Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
title_fullStr Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
title_full_unstemmed Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
title_short Characterization of helical Luttinger liquids in microwave stepped-impedance edge resonators
title_sort characterization of helical luttinger liquids in microwave stepped impedance edge resonators
url http://doi.org/10.1103/PhysRevResearch.2.043383
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