Bound states and persistent currents in topological insulator rings
arXiv:1011.5166 · doi:10.1103/PhysRevB.83.125420
Abstract
We analyze theoretically the bound state spectrum of an Aharonov Bohm (AB) ring in a two-dimensional topological insulator using the four-band model of HgTe-quantum wells as a concrete example. We calculate analytically the circular helical edge states and their spectrum as well as the bound states evolving out of the bulk spectrum as a function of the applied magnetic flux and dimension of the ring. We also analyze the spin-dependent persistent currents, which can be used to measure the spin of single electrons. We further take into account the Rashba spin-orbit interaction which mixes the spin states and derive its effect on the ring spectrum. The flux tunability of the ring states allows for coherent mixing of the edge- and the spin degrees of freedom of bound electrons which could be exploited for quantum information processing in topological insulator rings.
12 pages, 10 figures. (minor changes, typos corrected)
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Cited by in corpus (30)
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- Z2 invariant protected bound states in topological insulators
- Devices with electrically tunable topological insulating phases
- Hyperfine interactions in two-dimensional HgTe topological insulators
- Persistent currents in Dirac fermion rings
- Generic helical edge states due to Rashba spin-orbit coupling in a topological insulator
- Helical edge states in multiple topological mass domains
- Aharonov-Bohm conductance of a disordered single-channel quantum ring
- Controllable spin entanglement production in a quantum spin Hall ring
- High-temperature Aharonov-Bohm-Casher interferometer
- Coherent spin transport through helical edge states of topological insulator
- Relativistic quantum dynamics of neutral particle in external electric fields: An approach on effects of spin
- Topological insulator ring with magnetic impurities
- Dirac electrons in quantum rings
- Robustness of persistent currents in two-dimensional Dirac systems with disorders
- Tunneling Aharonov-Bohm interferometer on helical edge states
- Relativistic fermion on a ring: Energy spectrum and persistent current
- Helical currents in metallic Rashba strips
- Spin field-effect transistor in a quantum spin-Hall device
- Persistent current of relativistic electrons on a Dirac ring in presence of impurities
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- Topologically protected wave packets and quantum rings in silicene
- Flux sensitivity of quantum spin Hall rings
- Persistent currents in absence of magnetic field in graphene nanorings: The ambiguous role of inter valley scattering
- Quantum spin compass models in 2D electronic topological metasurfaces
- Localization and persistent currents in a quasiperiodic disordered helical lattice
- Persistent Currents in Normal Metal Rings (Yale PhD thesis)
- Finite temperature fermionic charge and current densities in conical space with a circular edge
- Anomalous Hall Response in Two Dimensional Topological Insulators due to the Stark Effect
- Vacuum currents in elliptic pseudosphere tubes