Graphene $n$-$p$ junctions in the Quantum Hall regime: numerical study of incoherent scattering effects

Abstract

We investigate electronic transport through a graphene $n$-$p$ junction in the quantum Hall effect regime at high perpendicular magnetic field, when the filling factors in the $n$-doped and $p$-doped regions are fixed to 2 and -2 respectively. We compute numerically the conductance $G$, the noise $Q$ and the Fano factor $F$ of the junction when inelastic effects are included along the interface in a phenomenological way, by means of fictitious voltage probes. Using a scaling approach, we extract the system coherence length $L_{\varphi }$ and describe the full crossover between the coherent limit ($W\ll L_{\varphi }$) and the incoherent limit ($W\gg L_{\varphi }$), $W$ being the interface length. While $G$ saturates at the value $e^2/h$ in the incoherent regime, $Q$ and $F$ are found to vanish exponentially for large length $W$. Corrections due to disorder are also investigated. Our results are finally compared to available experimental data.

arXiv comment10 pages, 9 figures. Main modifications with respect to v1: extended discussion at the end of Sections V and VI, 2 news figures (Fig. 6 and inset of Fig. 9(c))

References in corpus (42)

• Shot Noise in Mesoscopic Conductors
• Kwant: a software package for quantum transport
• Electronic transport and quantum Hall effect in bipolar graphene p-n-p junction
• Electron optics with ballistic graphene junctions
• Four-terminal magneto-transport in graphene p-n junctions created by spatially selective doping
• Quantized Transport in Graphene p-n Junctions in Magnetic Field
• Gate-controlled Guiding of Electrons in Graphene
• Ballistic interferences in suspended graphene
• Theory of the valley-valve effect in graphene nanoribbons
• Disorder-induced enhancement of transport through graphene p-n junctions
• Snake Trajectories in Ultraclean Graphene p-n Junctions
• Tuning a Circular p-n Junction in Graphene from Quantum Confinement to Optical Guiding
• Scalable Tight-Binding Model for Graphene
• A ballistic pn junction in suspended graphene with split bottom gates
• Charge Fluctuations in Quantum Point Contacts and Chaotic Cavities in the Presence of Transport
• Conductance oscillations induced by ballistic snake states in a graphene heterojunction
• Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene
• Snake States in Graphene p-n Junctions
• Selective equilibration of spin and valley polarized quantum Hall edge states in graphene
• Guiding of Electrons in a Few Mode Ballistic Graphene Channel
• Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction
• Effect of incoherent scattering on shot noise correlations in the quantum Hall regime
• Creating and Steering Highly Directional Electron Beams in Graphene
• Tuning decoherence with a voltage probe
• Influence of dephasing process on the quantum Hall effect and the spin Hall effect
• Graphene p-n junction Arrays as Quantum-Hall Resistance Standards
• Electrical Transport in High Quality Graphene pnp Junctions
• Disorder Effects in the Quantum Hall Effect of Graphene p-n Junctions
• Quantum Hall resistances of multiterminal top-gated graphene device
• Semiclassical magnetotransport in graphene n-p junctions
• Shot noise generated by graphene p-n junctions in the quantum Hall effect regime
• Graphene n-p junction in a strong magnetic field: a semiclassical study
• Mixing of Edge States at a Bipolar Graphene Junction
• Ballistic-Ohmic quantum Hall plateau transition in graphene pn junction
• Dependence of quantum-Hall conductance on the edge-state equilibration position in a bipolar graphene sheet
• Giant valley-isospin conductance oscillations in ballistic graphene
• Theory of Landau level mixing in heavily graded graphene p-n junctions
• Interplay between snake and quantum edge states in a graphene Hall bar with a pn-junction
• Graphene pn-junction in a quantizing magnetic field: Conductance at intermediate disorder strength
• Effect of incoherent scattering on three-terminal quantum Hall thermoelectrics
• Conductance oscillations in Chern insulator junctions: valley-isospin dependence and Aharonov-Bohm effects
• Oscillating magnetoresistance in graphene p-n junctions at intermediate magnetic fields

Cited by in corpus (5)

• Electrostatic Superlattices on Scaled Graphene Lattices
• Co-existence of classical snake states and Aharanov-Bohm oscillations along graphene p-n junctions
• Valley isospin of interface states in a graphene $pn$ junction in the quantum Hall regime
• Scanning probe-induced thermoelectrics in a quantum point contact
• Interplay of filling fraction and coherence in symmetry broken graphene p-n junction