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. (LANL), Los Alamos, 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; TRN: 95:024437
• Resource Relation: Conference: 4. Wigner symposium, Guadalajara (Mexico), 7-11 Aug 1995; Other Information: PBD: [1995]
• Country of Publication: United States
• Language: English

Related Subjects

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