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Hall resistance anomalies in the integer and fractional quantum Hall regime

Peraticos, E; Kumar, S; Pepper, M; Siddiki, A; Farrer, I; Ritchie, D; Jones, G; (2020) Hall resistance anomalies in the integer and fractional quantum Hall regime. Physical Review B: Condensed Matter and Materials Physics , 102 , Article 115306. 10.1103/PhysRevB.102.115306. Green open access

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Abstract

Experimental evidence of resistance anomalies in the high-mobility two-dimensional electron gas (2DEG) formed in the GaAs/AlGaAs heterostructure, in the integer and fractional quantized Hall regime, is shown. The data complement to a good approximation the semianalytic calculations used to describe the formation of integral and fractional incompressible strips. The widths of current-carrying channels were calculated by incorporating the screening properties of the 2DEG and the effect of a magnetic field in the perpendicular mode. The many-body effects of the composite fermions are taken into consideration for the energy gap for the fractional states. It is shown that incompressible strips at the edges for both integer and fractional filling factors coexist in their evanescent phase for a particular range of magnetic fields, resulting in overshoot effects at the Hall resistance. Specifically, anomalous Hall resistances were noticed for filling factors ν = 4 3 , 3 2 , 5 3 , 8 3 , 3, 10 3 , 7 2 , and 5. This effect is explained and discussed using the screening theory.

Type: Article
Title: Hall resistance anomalies in the integer and fractional quantum Hall regime
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.102.115306
Publisher version: https://doi.org/10.1103/PhysRevB.102.115306
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Anomalous Hall effect, Ballistic transport, Fractional quantum Hall effect, Integer quantum Hall effect, Landau levels, Transport phenomena, Quantum wires, Two-dimensional electron gas
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10110730
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