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Resonant tunneling probabilities for an N ‐terminal junction by the flux averaging method
Author(s) -
Berman Lihu,
Peskin Uri
Publication year - 2004
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20024
Subject(s) - quantum tunnelling , scattering , flux (metallurgy) , resonance (particle physics) , physics , transmission (telecommunications) , convergence (economics) , probability current , statistical physics , quantum mechanics , terminal (telecommunication) , population , quantum , chemistry , computer science , telecommunications , demography , organic chemistry , sociology , economics , economic growth
The flux averaging method for time‐dependent calculations of resonant tunneling probabilities is generalized for the case of multichannel scattering by analyzing a generic model for resonant tunneling in a molecular junction with N terminals (N open scattering channels). The transmission probability between any two channels is expressed as a weighted average of time integrals over probability fluxes through different spatial contours. In the case of resonance scattering the transmission probability is shown to converge within a (short) direct‐scattering timescale, circumventing the problem of slow convergence of each one of the time integrals due to population of a long‐lived resonance state. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004