Chaotic electron diffusion through stochastic webs enhances current flow in superlattices

Nature

Volumn 428, Issue 6984, 2004, Pages 726-730

  Fromhold, T M ^a   Patane A ^a   Bujkiewicz, S ^a   Wilkinson, P B ^a   Fowler, D ^a   Sherwood, D ^a   Stapleton, S P ^a   Krokhin, A A ^a,b,c   Eaves, L ^a   Henini, M ^a   Sankeshwar, N S ^a,d   Sheard, F W ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITY OF NORTH TEXAS   (United States)

^c BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

^d KARNATAK UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; DIFFUSION; DISCRETE TIME CONTROL SYSTEMS; ELECTRIC CONDUCTIVITY; IONS; NATURAL SCIENCES; NEWTONIAN FLOW; PERTURBATION TECHNIQUES; QUANTUM ELECTRONICS; STOCHASTIC CONTROL SYSTEMS; TURBULENCE;

CHAOTIC ELECTRON DIFFUSION; PHOTONICS; PLASMA PHYSICS; TOKAMAC FUSION;

LARGE SCALE SYSTEMS;

CHAOS THEORY; ELECTRICAL CONDUCTIVITY;

ARTICLE; ASTRONOMY; CALCULATION; CHAOTIC DYNAMICS; CRYSTAL; ELECTRIC CONDUCTIVITY; ELECTRIC CURRENT; ELECTRIC POTENTIAL; ELECTRON TRANSPORT; ELECTRONICS; ENERGY; FLOW KINETICS; HYPOTHESIS; MAGNETIC FIELD; MOTION; NONLINEAR SYSTEM; OSCILLATION; PARAMETER; PRIORITY JOURNAL; QUANTUM MECHANICS; SEMICONDUCTOR; STOCHASTIC MODEL; TECHNIQUE; TURBULENT FLOW;

ASTEROIDEA;

EID: 11144357880     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/nature02445     Document Type: Article

References (30)

1. Lichtenberg, A. J. & Lieberman, M. A. Regular and Chaotic Dynamics (Springer, New York, 1992).
2. Gutzwiller, M. C. Chaos in Classical and Quantum Mechanics (Springer, New York, 1990).
3. Stöckmann, H.-J. Quantum Chaos: an Introduction (Cambridge Univ. Press, Cambridge, 1999).
4. Berry, M. V. Quantum chaology. Proc. R. Soc. Lond. A 413, 183-198 (1987).
5. Heller, E. J. Bound-state eigenfunctions of classically chaotic Hamiltonian systems-scars of periodic orbits. Phys. Rev. Lett. 53, 1515-1518 (1984).
6. Chernikov, A. A., Sagdeev, R. Z., Usikov, D. A., Yu Zakharov, M. & Zaslavsky, G. M. Minimal chaos and stochastic webs. Nature 326, 559-563 (1987).
7. Shlesinger, M. F., Zaslavsky, G. M. & Klafter, J. Strange kinetics. Nature 363, 31-37 (1993).
8. Zaslavsky, G. M., Sagdeev, R. Z., Usikov, D. A. & Chernikov, A. A. Weak Chaos and Quasi-Regular Patterns (Cambridge Univ. Press, Cambridge, 1991).
9. Kamenev, D. I. & Berman, G. P. Quantum Chaos: a Harmonic Oscillator in Monochromatic Wave (Rinton, Princeton, New Jersey, 2000).
10. Chia, P.-K., Schmitz, L. & Conn, R. W. Stochastic ion behaviour in subharmonic and superharmonic electrostatic waves. Phys. Plasmas 3, 1545-1568 (1996).
11. Karney, C. F. F. & Bers, A. Stochastic ion heating by a perpendicularly propagating electrostatic wave. Phys. Rev. Lett. 39, 550-554 (1977).
12. Beloshapkin, V. V. et al. Chaotic streamlines in pre-turbulent states. Nature 337, 133-137 (1989).
13. Gardiner, S. A., Cirac, J. I. & Zoller, P. Quantum chaos in an ion trap: the delta-kicked harmonic oscillator. Phys. Rev. Lett. 79, 4790-4793 (1997).
14. Demikhovskii, V. Ya., Kamenev, D. I. & Luna-Acosta, G. A. Quantum weak chaos in a degenerate system. Phys. Rev. E 59, 294-302 (1999).
15. Fromhold, T. M. et al. Effects of stochastic webs on chaotic electron transport in semiconductor superlattices. Phys. Rev. Lett. 87, 046803 (2001).
16. Demikhovskii, V. Ya., Izrailev, F. M. & Malyshev, A. I. Manifestation of Arnold diffusion in quantum systems. Phys. Rev. Lett. 88, 154101 (2002).
17. Jensen, R. V. Quantum chaos. Nature 355, 311-318 (1992).
18. Wilkinson, P. B. et al. Observation of 'scarred' wavefunctions in a quantum well with chaotic electron dynamics. Nature 380, 608-610 (1996).
19. Fromhold, T. M. et al. Tunneling spectroscopy of mixed stable-chaotic electron dynamics in a quantum well. Phys. Rev. B 65, 155312 (2002).
20. Hensinger, W. K. et al. Dynamical tunnelling of ultra-cold atoms. Nature 412, 52-55 (2001).
21. Steck, D. A., Oskay, W. H. & Raizen, M. G. Observation of chaos-assisted tunneling between islands of stability. Science 293, 274-278 (2001).
22. Amann, A., Schlesner, J., Wacker, A. & Schöll, E. Chaotic front dynamics in semiconductor superlattices. Phys. Rev. B 65, 193313 (2002).
23. Esaki, L. & Tsu, R. Superlattice and negative differential conductivity in semiconductors. IBM J. Res. Dev. 14, 61-65 (1970).
24. Tsu, R. & Döhler, G. Hopping conduction in a "superlattice". Phys. Rev. B 12, 680-686 (1975).
25. Patanè, A. et al. Tailoring the electronic properties of GaAs/ AlAs superlattices by InAs layer insertions. Appl. Phys. Lett. 81, 661-663 (2002).
26. Wacker, A. Semiconductor superlattices: a model system for nonlinear transport. Phys. Rep. 357, 1-111 (2002).
27. Canali, L., Lazzarino, M., Sorba, L. & Beltram, F. Stark-cyclotron resonance in a semiconductor superlattice. Phys. Rev. Lett. 76, 3618-3621 (1996).
28. Penrose, R. The role of aesthetics in pure and applied mathematical research. Bull. Inst. Math. Appl. 10, 266-271 (1974).
29. Scott, R. G., Bujkiewicz, S., Fromhold, T. M., Wilkinson, P. B. & Sheard, F. W. Effects of chaotic energy-band transport on the quantized states of ultracold sodium atoms in an optical lattice with a tilted harmonic trap. Phys. Rev. A 66, 023407 (2002).
30. Wilkinson, P. B. & Fromhold, T. M. Chaotic ray dynamics in slowly varying two-dimensional photonic crystals. Opt. Lett. 28, 1034-1036 (2003).