Snake states and Klein tunneling in a graphene Hall bar with a pn-junction

Abstract

The Hall (RH) and bend (RB) resistance of a graphene Hall bar structure containing a pn-junction are calculated when in the ballistic regime. The simulations are done using the billiard model. Introducing a pn-junction--dividing the Hall bar geometry in two regions--leads to two distinct regimes exhibiting very different physics: 1) both regions are of n-type and 2) one region is n-type and the other p-type. In regime (1) a 'Hall plateau'--an enhancement of the resistance--appears for RH. On the other hand, in regime (2), we found a negative RH, which approaches zero for large B. The bend resistance is highly asymmetric in regime (2) and the resistance increases with increasing magnetic field B in one direction while it reduces to zero in the other direction.

arXiv comment4 pages, 3 figures

References in corpus (8)

• Micrometer-scale ballistic transport in encapsulated graphene at room temperature
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Klein tunneling in graphene: optics with massless electrons
• Four-terminal magneto-transport in graphene p-n junctions created by spatially selective doping
• Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
• Snake States in Graphene p-n Junctions
• Semiclassical magnetotransport in graphene n-p junctions
• Low-temperature ballistic transport in nanoscale epitaxial graphene cross junctions

Cited by in corpus (15)

• Co-existence of classical snake states and Aharanov-Bohm oscillations along graphene p-n junctions
• Imaging snake orbits at graphene n-p junctions
• Relativistic electron transport through an oscillating barrier: wave packet generation and Fano-type resonances
• Spectroscopy of snake states using a graphene Hall bar
• Strained graphene Hall bar
• Aharonov-Bohm conductance oscillations and current equilibration in local n - p junctions in graphene
• Graphene Hall bar with an asymmetric pn-junction
• Bilayer graphene Hall bar with a pn-junction
• Spin inversion in fluorinated graphene n-p junction
• Spin-orbit interaction and snake states in graphene $p$-$n$ junctions
• Valley detection using a graphene gradual pn junction with spin-orbit coupling: an analytical conductance calculation
• Time-dependent transport in Graphene Mach-Zender Interferometers
• Husimi function for electrons moving in magnetic fields
• Helical liquid of snake states
• Interplay between Aharonov-Bohm interference and parity selective tunneling in zigzag graphene nanoribbon rings