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An analysis of the resonant tunneling‐time based on the presence‐time formalism
Author(s) -
del Barco O.
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200642415
Subject(s) - quantum tunnelling , superlattice , formalism (music) , scanning tunneling spectroscopy , wave packet , physics , resonance (particle physics) , time evolution , condensed matter physics , scanning tunneling microscope , quantum mechanics , molecular physics , art , musical , visual arts
We analyze the tunneling‐time of a spatial wave packet which traverses a resonant structure by means of the presence‐time formalism. With this method we can evaluate the finite size effects of the corresponding energy probability distribution in the tunneling‐time. We show that these effects are not negligible and reduce the tunneling‐time by 25%. An expression for the resonant tunneling‐time is derived, 3ħ/2 Γ r , where Γ r is the width of the resonance. We confirm numerically this result for two resonant structures: a superlattice with n cells and square‐barrier periodic potential, and an asymmetrical rectangular double‐barrier potential. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)