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Chaotic electron diffusion through stochastic webs enhances current flow in superlattices.

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Title: Chaotic electron diffusion through stochastic webs enhances current flow in superlattices.
Authors: Fromhold, T. M., Patanè, A., Bujkiewicz, S., Wilkinson, P. B., Fowler, D., Sherwood, D., Stapleton, S. P., Krokhin, A. A., Eaves, L., Henini, M., Sankeshwar, N. S., Sheard, F. W.
Source: Nature. 4/15/2004, Vol. 428 Issue 6984, p726-730. 5p.
Subjects: Electron diffusion, Stochastic systems, Electric currents, Superlattices, Motion, Quantum theory
Abstract: Understanding how complex systems respond to change is of fundamental importance in the natural sciences. There is particular interest in systems whose classical newtonian motion becomes chaotic as an applied perturbation grows. The transition to chaos usually occurs by the gradual destruction of stable orbits in parameter space, in accordance with the Kolmogorov-Arnold-Moser (KAM) theorem-a cornerstone of nonlinear dynamics that explains, for example, gaps in the asteroid belt. By contrast, ‘non-KAM’ chaos switches on and off abruptly at critical values of the perturbation frequency. This type of dynamics has wide-ranging implications in the theory of plasma physics, tokamak fusion, turbulence, ion traps, and quasicrystals. Here we realize non-KAM chaos experimentally by exploiting the quantum properties of electrons in the periodic potential of a semiconductor superlattice with an applied voltage and magnetic field. The onset of chaos at discrete voltages is observed as a large increase in the current flow due to the creation of unbound electron orbits, which propagate through intricate web patterns in phase space. Non-KAM chaos therefore provides a mechanism for controlling the electrical conductivity of a condensed matter device: its extreme sensitivity could find applications in quantum electronics and photonics. [ABSTRACT FROM AUTHOR]
Copyright of Nature is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Psychology and Behavioral Sciences Collection
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  Data: Chaotic electron diffusion through stochastic webs enhances current flow in superlattices.
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  Data: <searchLink fieldCode="AR" term="%22Fromhold%2C+T%2E+M%2E%22">Fromhold, T. M.</searchLink><br /><searchLink fieldCode="AR" term="%22Patanè%2C+A%2E%22">Patanè, A.</searchLink><br /><searchLink fieldCode="AR" term="%22Bujkiewicz%2C+S%2E%22">Bujkiewicz, S.</searchLink><br /><searchLink fieldCode="AR" term="%22Wilkinson%2C+P%2E+B%2E%22">Wilkinson, P. B.</searchLink><br /><searchLink fieldCode="AR" term="%22Fowler%2C+D%2E%22">Fowler, D.</searchLink><br /><searchLink fieldCode="AR" term="%22Sherwood%2C+D%2E%22">Sherwood, D.</searchLink><br /><searchLink fieldCode="AR" term="%22Stapleton%2C+S%2E+P%2E%22">Stapleton, S. P.</searchLink><br /><searchLink fieldCode="AR" term="%22Krokhin%2C+A%2E+A%2E%22">Krokhin, A. A.</searchLink><br /><searchLink fieldCode="AR" term="%22Eaves%2C+L%2E%22">Eaves, L.</searchLink><br /><searchLink fieldCode="AR" term="%22Henini%2C+M%2E%22">Henini, M.</searchLink><br /><searchLink fieldCode="AR" term="%22Sankeshwar%2C+N%2E+S%2E%22">Sankeshwar, N. S.</searchLink><br /><searchLink fieldCode="AR" term="%22Sheard%2C+F%2E+W%2E%22">Sheard, F. W.</searchLink>
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  Data: Understanding how complex systems respond to change is of fundamental importance in the natural sciences. There is particular interest in systems whose classical newtonian motion becomes chaotic as an applied perturbation grows. The transition to chaos usually occurs by the gradual destruction of stable orbits in parameter space, in accordance with the Kolmogorov-Arnold-Moser (KAM) theorem-a cornerstone of nonlinear dynamics that explains, for example, gaps in the asteroid belt. By contrast, ‘non-KAM’ chaos switches on and off abruptly at critical values of the perturbation frequency. This type of dynamics has wide-ranging implications in the theory of plasma physics, tokamak fusion, turbulence, ion traps, and quasicrystals. Here we realize non-KAM chaos experimentally by exploiting the quantum properties of electrons in the periodic potential of a semiconductor superlattice with an applied voltage and magnetic field. The onset of chaos at discrete voltages is observed as a large increase in the current flow due to the creation of unbound electron orbits, which propagate through intricate web patterns in phase space. Non-KAM chaos therefore provides a mechanism for controlling the electrical conductivity of a condensed matter device: its extreme sensitivity could find applications in quantum electronics and photonics. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Nature is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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