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Title: Interplay between snake and quantum edge states in a graphene Hall bar with a pn-junction

The magneto- and Hall resistance of a locally gated cross shaped graphene Hall bar is calculated. The edge of the top gate is placed diagonally across the center of the Hall cross. Four-probe resistance is calculated using the Landauer-Büttiker formalism, while the transmission coefficients are obtained using the non-equilibrium Green's function approach. The interplay between transport due to edge channels and snake states is investigated. When two edge channels are occupied, we predict oscillations in the Hall and the bend resistance as function of the magnetic field, which are a consequence of quantum interference between the occupied snake states.
Authors:
;  [1] ;  [1] ;  [2]
  1. Departement Fysica, Universiteit Antwerpen, Groenenborgerlaan 171, B-2020 Antwerpen (Belgium)
  2. (United States)
Publication Date:
OSTI Identifier:
22350770
Resource Type:
Journal Article
Resource Relation:
Journal Name: Applied Physics Letters; Journal Volume: 105; Journal Issue: 12; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ELECTRIC CONDUCTIVITY; ELECTRIC CONTACTS; EQUILIBRIUM; GRAPHENE; GREEN FUNCTION; INTERFERENCE; MAGNETIC FIELDS; MAGNETORESISTANCE; OSCILLATIONS; SEMICONDUCTOR JUNCTIONS; TRANSMISSION