We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


97% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Stochastic webs and quantum transport in superl...
View graph of relations

« Back

Stochastic webs and quantum transport in superlattices : an introductory review.

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>15/03/2010
<mark>Journal</mark>Contemporary Physics
Number of pages16
<mark>Original language</mark>English


Stochastic webs were discovered, first by Arnold for multi-dimensional Hamiltonian systems, and later byChernikov 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.