Universität zu Köln

Spanslaett, Christian, Park, Jinhong, Gefen, Yuval and Mirlin, Alexander D. (2020). Conductance plateaus and shot noise in fractional quantum Hall point contacts. Phys. Rev. B, 101 (7). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as suppression of Mach-Zehnder interference, call for theoretical explanations. In this paper we develop a theory of FQH edge state transport through quantum point contacts, which allows for a generic Abelian edge structure and assumes strong equilibration between edge modes (incoherent transport regime). We find that conductance plateaus are found whenever the quantum point contact locally depletes the Hall bar to a stable region with a filling factor lower than that of the bulk and the resulting edge states equilibrate. The shot noise generated on these plateaus can be classified according to 13 possible combinations of edge charge and heat transport in the device. We also comment on a relation between the the emergence of quantized plateaus and the suppression of Mach-Zehnder interference. Besides explaining recent experimental findings, our results provide novel insights and perspectives on quantum point contact devices in the FQH regime.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Spanslaett, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED Park, Jinhong UNSPECIFIED UNSPECIFIED UNSPECIFIED Gefen, Yuval UNSPECIFIED UNSPECIFIED UNSPECIFIED Mirlin, Alexander D. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-343818
DOI:	10.1103/PhysRevB.101.075308
Journal or Publication Title:	Phys. Rev. B
Volume:	101
Number:	7
Date:	2020
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CHIRAL LUTTINGER LIQUIDS; EDGE STATES; THERMAL TRANSPORT; NEUTRAL-MODES; CLASSIFICATION; EXCITATIONS Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34381