Dissipative Chaos in Semiconductor Superlattices

Date Issued
1996-04-29Author(s)
Alekseev, Kirill N.
Berman, Gennady P.
Campbell, David K.
Cannon, Ethan H.
Cargo, Matthew C.
Metadata
Show full item recordPermanent Link
http://arxiv.org/abs/cond-mat/9604173https://hdl.handle.net/2144/983
Citation (published version)
1996. "Dissipative Chaos in Semiconductor Superlattices," cond-mat/9604173. http://arxiv.org/abs/cond-mat/9604173Abstract
We consider the motion of ballistic electrons in a miniband of a
semiconductor superlattice (SSL) under the influence of an external, time-periodic electric
field. We use the semi-classical balance-equation approach which incorporates elastic and
inelastic scattering (as dissipation) and the self-consistent field generated by the
electron motion. The coupling of electrons in the miniband to the self-consistent field
produces a cooperative nonlinear oscillatory mode which, when interacting with the
oscillatory external field and the intrinsic Bloch-type oscillatory mode, can lead to
complicated dynamics, including dissipative chaos. For a range of values of the dissipation
parameters we determine the regions in the amplitude-frequency plane of the external field
in which chaos can occur. Our results suggest that for terahertz external fields of the
amplitudes achieved by present-day free electron lasers, chaos may be observable in SSLs. We
clarify the nature of this novel nonlinear dynamics in the superlattice-external field
system by exploring analogies to the Dicke model of an ensemble of two-level atoms coupled
with a resonant cavity field and to Josephson junctions.
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