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Phys. Rev. B 62, 10255–10259 (2000)

Magnetic-field-controlled electron dynamics in quantum cavities

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Y. Takagaki
Paul-Drude-Institut für Festkörperelektronik, Hausvogteiplatz 5-7, D-10117 Berlin, Germany

M. ElHassan, A. Shailos, C. Prasad, J. P. Bird, and D. K. Ferry
Center for Solid State Electronics Research, Arizona State University, Tempe, Arizona 85287-6206

K. H. Ploog
Paul-Drude-Institut für Festkörperelektronik, Hausvogteiplatz 5-7, D-10117 Berlin, Germany

L.-H. Lin, N. Aoki, and Y. Ochiai
Department of Materials Science, Chiba University, Chiba 236-8522, Japan

Received 2 May 2000; published in the issue dated 15 October 2000

Although soft confinement of electrons in ballistic cavities gives rise to a power law of classical probability distributions, the behavior is limited to a narrow range of the variable if the potential is not substantially smooth. The presence of a magnetic field normal to the cavity extends the power-law regime by generating a hierarchical phase space structure. The change in dynamics induced by the magnetic field is confirmed experimentally through analysis of conductance fluctuations in quantum cavities defined by electrostatic gates on a high-mobility heterojunction. Nonfractal conductance fluctuations as a function of the gate bias at zero magnetic field are transformed to be fractal when the cyclotron radius is comparable to the cavity size.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.10255
DOI:
10.1103/PhysRevB.62.10255
PACS:
73.23.Ad, 05.45.Df, 05.45.Gg, 73.61.-r