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Stochastic webs and quantum transport in superlattices: an introductory review

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Soskin, S. M., McClintock, P. V. E., Fromhold, T. M., Khovanov, I. A. and Mannella, R. (2010) Stochastic webs and quantum transport in superlattices: an introductory review. Contemporary Physics, Vol. 51 (No. 3). pp. 233-248. ISSN 0010-7514

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Official URL: http://dx.doi.org/10.1080/00107510903539179

Abstract

Stochastic webs were discovered, first by Arnold for multi-dimensional Hamiltonian systems, and later by Chernikov et al. for the low-dimensional case. Generated by weak perturbations, they consist of thread-like regions of chaotic dynamics in phase space. Their importance is that, in principle, they enable transport from small energies to high energies. In this introductory review, we concentrate on low-dimensional stochastic webs and on their applications to quantum transport in semiconductor superlattices subject to electric and magnetic fields. We also describe a recently-suggested modification of the stochastic web to enhance chaotic transport through it and we discuss its possible applications to superlattices.

Item Type:	Journal Item
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Engineering
Journal or Publication Title:	Contemporary Physics
Publisher:	Taylor & Francis
ISSN:	0010-7514
Date:	2010
Volume:	Vol. 51
Number:	No. 3
Number of Pages:	16
Page Range:	pp. 233-248
Identification Number:	10.1080/00107510903539179
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Royal Society (Great Britain), International Centre for Theoretical Physics (Trieste), Pisa University, Engineering and Physical Sciences Research Council (EPSRC)
URI:	http://wrap.warwick.ac.uk/id/eprint/6008