Rashba effect in quantum networks
arXiv:cond-mat/0502455 · doi:10.1103/PhysRevB.72.075305
Abstract
We present a formalism to study quantum networks made up by single-channel quantum wires in the presence of Rashba spin-orbit coupling and magnetic field. In particular, linear transport through one-dimensional and two-dimensional finite-size networks is studied by means of the scattering formalism. In some particular quantum networks, the action of the magnetic field or of the Rashba spin-orbit coupling induces localization of the electron wave function. This phenomenon, which relies on both the quantum-mechanical interference and the geometry of the network, is manifested through the suppression of the conductance for specific values of the spin-orbit-coupling strength or of the magnetic field. Furthermore, the interplay of the Aharonov-Bohm phases and of the non-Abelian phases introduced by spin-orbit coupling, is discussed in a number of cases.
8 pages and 6 figures
References in corpus (12)
- Aharonov-Bohm cages in two-dimensional structures
- Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
- Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport
- Spin interference effects in ring conductors subject to Rashba coupling
- Interaction induced delocalisation for two particles in a periodic potential
- Persistent current in ballistic mesoscopic rings with Rashba spin-orbit coupling
- How to escape Aharonov-Bohm cages ?
- Persistent spin and mass currents and Aharonov-Casher effect
- Magnetic field induced localization in a two-dimensional superconducting wire network
- Rashba effect induced localization in quantum networks
- Transmission through quantum networks
- Vortex ordering in fully-frustrated superconducting systems with dice lattice
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