Phys. Rev. Lett. 70, 1159–1162 (1993)Quantum railroads: Introducing directionality to Anderson localizationReceived 20 August 1992; published in the issue dated 22 February 1993 We present a theory of electron transport in novel disordered waveguides that support different numbers N and M of modes propagating in opposite directions, i.e., ‘‘quantum railroads’’ (QRR). Anderson localization and the integer quantum Hall effect are special cases of our theory. More generally, our analytic results based on scattering matrix theory and our numerical simulations show that disorder results in directed localization in QRR’s. The limiting transmittance of a macroscopic QRR is T=‖N-M‖ in the majority direction but T’=0 in the minority direction. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.1159
DOI:
10.1103/PhysRevLett.70.1159
PACS:
72.10.Bg, 72.15.Rn, 72.20.Dp
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