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Quantum transport in quasi‐one‐dimensional systems
Author(s) -
Arora V. K.,
Prasad M.
Publication year - 1983
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.2221170113
Subject(s) - electron , magnetic field , radius , physics , quantum , condensed matter physics , principal quantum number , cyclotron , matter wave , quantum wire , gyroradius , field (mathematics) , quantum mechanics , quantum dissipation , computer security , mathematics , computer science , pure mathematics
The results of quantum transport investigations in quasi‐one‐dimensional systems assumed to be of cylindrical geometry are presented. Quantum size effect is important when the de Broglie wavelength (λ D ) of confined electrons becomes comparable to radius R 0 of the cylindrical geometry. In the extreme quantum‐limit, λ D ≫ R 0 , the resistivity is found to be proportional to λ 2 D / A , where A = π R 2 0 is the area of cross‐section. Similar behavior is found for electrons confined to a strong magnetic field, λ D ≫ λ = ( hc / eB ) 1/2 , when A = πλ 2 is the area of the cyclotron orbit of radius λ in a magnetic field of strength B . The quantum transport behavior of electrons confined in thin wires is found analogous to those confined in a magnetic field.