Disorder Effects in the Quantum Hall Effect of Graphene p-n Junctions

Abstract

The quantum Hall effect in graphene p-n junctions is studied numerically with emphasis on the effect of disorder at the interface of two adjacent regions. Conductance plateaus are found to be attached to the intensity of the disorder, and are accompanied by universal conductance fluctuations in the bipolar regime, which is in good agreement with theoretical predictions of the random matrix theory on quantum chaotic cavities. The calculated Fano factors can be used in an experimental identification of the underlying transport character.

7 pages, 5 figures

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Cited by in corpus (23)

• Electronic transport in two dimensional graphene
• Quantum transport through a graphene nanoribbon-superconductor junction
• Nernst and Seebeck effect in a graphene nanoribbon
• Tunable transmission of quantum Hall edge channels with full degeneracy lifting in split-gated graphene devices
• Semiclassical magnetotransport in graphene n-p junctions
• The focusing of electron flow in a bipolar Graphene ribbon with different chiralities
• Graphene n-p junction in a strong magnetic field: a semiclassical study
• Ballistic-Ohmic quantum Hall plateau transition in graphene pn junction
• Conductance of bilayer graphene in the presence of a magnetic field: Effects of disorder
• The parity of specular Andreev reflection under mirror operation in zigzag graphene ribbon
• Theory of Landau level mixing in heavily graded graphene p-n junctions
• The Effect of the Disorder on the Longitudinal Resistance of a Graphene p-n Junction in Quantum Hall Regime
• Thermal dissipation in the quantum Hall regime in graphene
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Coherent transport of armchair graphene constrictions
• Equilibration of quantum hall edge states and its conductance fluctuations in graphene p-n junctions
• Conductance oscillations in Chern insulator junctions: valley-isospin dependence and Aharonov-Bohm effects
• Graphene $n$-$p$ junctions in the Quantum Hall regime: numerical study of incoherent scattering effects
• Mode mixing induced by disorder in graphene PNP junction in a magnetic field
• Magnetic field mediated conductance oscillation in graphene p-n junctions
• Interplay of filling fraction and coherence in symmetry broken graphene p-n junction
• Half-integer thermal conductance in the absence of Majorana mode