Quantum chaos in Aharonov-Bohm oscillations

Technical Report · Sun Oct 01 00:00:00 EDT 1995

DOI:https://doi.org/10.2172/119976· OSTI ID:119976

Berman, G P ^[1]; Campbell, D K ^[2]; Bulgakov, E N ^[3]; Krive, I V ^[4]

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1. Los Alamos National Lab., NM (United States). Theoretical Div.
2. Univ. of Illinois, Urbana, IL (United States). Dept. of Physics
3. Kirensky Inst. of Physics, Krasnoyarsk (Russian Federation)
4. Ukrainian Academy of Sciences, Kharkov (Ukraine). Inst. for Low Temperature Physics and Engineering

Aharonov-Bohm oscillations in a mesoscopic ballistic ring are considered under the influence of a resonant magnetic field with one and two frequencies. The authors investigate the oscillations of the time-averaged electron energy at zero temperature in the regime of an isolated quantum nonlinear resonance and at the transition to quantum chaos, when two quantum nonlinear resonances overlap. It is shown that the time-averaged energy exhibits resonant behavior as a function of the magnetic flux, and has a ``staircase`` dependence on the amplitude of the external field. The delocalization of the quasi-energy eigenfunctions is analyzed.

• Research Organization: Los Alamos National Lab., NM (United States)
• Sponsoring Organization: Department of Defense, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 119976
• Report Number(s): LA-UR--95-3391; CONF-9508174--1; ON: DE96001387
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AHARONOV-BOHM EFFECT
CARRIER MOBILITY
CAVITY RESONATORS
DYNAMICS
FERMI LEVEL
HAMILTONIANS
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
PAULI PRINCIPLE
PHASE SPACE
QUANTUM MECHANICS
SEMICONDUCTOR MATERIALS
THEORETICAL DATA