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Introducing Directionality to Anderson Localization: The Transport Properties of Quantum Railroads

C. Barnes·B. L Johnson·G. Kirczenow
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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.

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C. Barnes, B. L Johnson, G. Kirczenow. 1995-01-31. Introducing Directionality to Anderson Localization: The Transport Properties of Quantum Railroads. https://arxiv.org/abs/cond-mat/9501138

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