Geometry effects in topologically confined bilayer graphene loops
arXiv:2110.05811 · doi:10.1088/1367-2630/ac434d
Abstract
We investigate the electronic confinement in bilayer graphene by topological loops of different shapes. These loops are created by lateral gates acting via gap inversion on the two graphene sheets. For large-area loops the spectrum is well described by a quantization rule depending only on the loop perimeter. For small sizes, the spectrum depends on the loop shape. We find that zero-energy states exhibit a characteristic pattern that strongly depends on the spatial symmetry. We show this by considering loops of higher to lower symmetry (circle, square, rectangle and irregular polygon). Interestingly, magnetic field causes valley splittings of the states, an asymmetry between energy reversal states, flux periodicities and the emergence of persistent currents.
7 pages, 7 figures
References in corpus (14)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- The electronic properties of bilayer graphene
- Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
- Spin qubits in graphene quantum dots
- Spin-orbit gap of graphene: First-principles calculations
- Topological confinement in bilayer graphene
- Aharonov-Bohm effect and broken valley-degeneracy in graphene rings
- Bound states and magnetic field-induced valley splitting in gate-tunable graphene quantum dots
- Electronic transport through bilayer graphene flakes
- Gate-controlled conductance through bilayer graphene ribbons
- Finite-difference method for transport of two-dimensional massless Dirac fermions in a ribbon geometry
- Pulsed-gate spectroscopy of single-electron spin states in bilayer graphene quantum dots
- Scattering of topological kink-antikink states in bilayer graphene structures