Introducing directionality to Anderson localization: The transport properties of quantum railroads
- 1 September 1994
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 72 (9-10) , 559-567
- https://doi.org/10.1139/p94-071
Abstract
We present a study of the transport properties of a general class of quantum mechanical waveguides: Quantum Railroads (QRR). These waveguides are characterised by having a different number of adiabatic modes which carry current in one direction along the waveguide to the opposite direction; for example N forward modes and M reverse modes. Just as Anderson localization is a characteristic of the disordered N=M case and the quantum Hall effect a characteristic of the M=0 case we find that a mixed effect, DIRECTED localization, is a characteristic of QRR's. We find that in any QRR there are always |N-M| perfectly transmitted effective adiabatic modes with the remainder being subject to multiple scattering and interference effects characteristic of the N=M case.Keywords
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