Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene

Abstract

We numerically investigate the effect of Klein tunneling on the Aharonov-Bohm oscillations in graphene rings using a tight-binding model with nearest-neighbor couplings. In order to introduce Klein tunneling into the system, we apply an electrostatic potential to one of the arms of the ring, such that this arm together with the two adjacent leads form either a $n{n}^{\prime }n$- or $npn$-junction ($n,n^{\prime }$: conduction band transport, $p$: valence band transport). The former case corresponds to normal tunneling and the latter case to Klein tunneling. We find that the transmission properties strongly depend on the smoothness of the $pn$-interfaces. In particular, for sharp junctions the amplitude profile is symmetric around the charge neutrality point in the gated arm, whereas for smooth junctions the Aharonov-Bohm oscillations are strongly suppressed in the Klein tunneling as compared to the normal tunneling regime.

7 pages, 9 figures; revised version (minor improvements to the text, replaced Fig. 7); to be published in Physical Review B

References in corpus (10)

• The electronic properties of graphene
• Andreev reflection and Klein tunneling in graphene
• Weak localisation magnetoresistance and valley symmetry in graphene
• Quantum-limited shot noise in graphene
• Selective transmission of Dirac electrons and ballistic magnetoresistance of \textit{n-p} junctions in graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
• Shot Noise in Ballistic Graphene
• Shot Noise in Graphene
• Pseudo-diffusive magnetotransport in graphene

Cited by in corpus (12)

• Enhancing thermoelectric properties of graphene quantum rings
• Aharonov-Bohm oscillations and magnetic focusing in ballistic graphene rings
• Lorentz force effects for graphene Aharonov-Bohm interferometers
• Color-dependent conductance of graphene with adatoms
• Magnetic edge states in Aharonov-Bohm graphene quantum rings
• Suppression of decoherence in a graphene monolayer ring
• Isolated and hybrid bilayer graphene rings
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
• Insights into electronic and transport properties of phosphorene nanorings in two perpendicular directions: Effects of circular and elliptical external potentials
• Quantum interference effects on the noise power in the CNT/aGNR/CNT junction
• Quantum tunneling in graphene Corbino disk in a solenoid magnetic potential with wedge disclination