Electrostatically confined Quantum Rings in bilayer Graphene

Abstract

We propose a new system where electron and hole states are electrostatically confined into a quantum ring in bilayer graphene. These structures can be created by tuning the gap of the graphene bilayer using nanostructured gates or by position-dependent doping. The energy levels have a magnetic field ($B_0$) dependence that is strikingly distinct from that of usual semiconductor quantum rings. In particular, the eigenvalues are not invariant under a $B_0\to -B_0$ transformation and, for a fixed total angular momentum index $m$, their field dependence is not parabolic, but displays two minima separated by a saddle point. The spectra also display several anti-crossings, which arise due to the overlap of gate-confined and magnetically-confined states.

5 pages, 6 figures, to appear in Nano Letters

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Cited by in corpus (23)

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• Electronic properties of mesoscopic graphene structures: charge confinement and control of spin and charge transport
• Simplified model for the energy levels of quantum rings in single layer and bilayer graphene
• Chiral states in bilayer graphene: magnetic field dependence and gap opening
• The Aharonov-Bohm effect in graphene rings
• Valley filtering using electrostatic potentials in bilayer graphene
• Interplay of the Aharonov-Bohm effect and Klein tunneling in graphene
• Electron-electron interactions in bilayer graphene quantum dots
• Topological confinement in graphene bilayer quantum rings
• Isolated and hybrid bilayer graphene rings
• Effect of magnetic field on the electronic properties of an $\alpha$-$T_3$ ring
• Robustness of persistent currents in two-dimensional Dirac systems with disorders
• Relativistic fermion on a ring: Energy spectrum and persistent current
• Persistent current of relativistic electrons on a Dirac ring in presence of impurities
• Confined states in graphene quantum blisters
• Electronic Properties of Graphene Quantum Ring with Wedge Disclination
• Geometry effects in topologically confined bilayer graphene loops
• Conductance of electrostatic wire junctions in bilayer graphene
• SUSY design of smooth quantum rings in graphene
• Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation
• Trivial and topological bound states in bilayer graphene quantum dots and rings
• Quantum tunneling in graphene Corbino disk in a solenoid magnetic potential with wedge disclination
• Electrostatic tuning of bilayer graphene edge modes