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Quantum corrections to the conductivity and periodic orbits: Integrable systems
Author(s) -
Hackenbroich Gregor,
von Oppen Felix
Publication year - 1996
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.2065080805
Subject(s) - semiclassical physics , integrable system , physics , condensed matter physics , magnetic field , quantum , conductivity , quantum mechanics , oscillation (cell signaling) , kubo formula , mathematical physics , biology , genetics
We extend the recently developed semiclassical theory for the conductivity to periodic semiconductor structures whose classical dynamics is integrable. We find that the conductivity of integrable systems exhibits quantum oscillations as function of magnetic field and Fermi energy which are closely related to both the Shubnikov‐de Haas oscillations and the oscillations observed in the conductivity of antidot lattices. A general expression for the quantum oscillations is derived which is analogous to the Berry‐Tabor formula for the spectral density of integrable systems.