Aharonov{endash}Bohm oscillations at finite temperature

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Journal of Applied Physics

DOI:https://doi.org/10.1063/1.362325· OSTI ID:280057

Schlottmann, P ^[1]; Zvyagin, A A ^[2]

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1. Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)
2. B. I. Verkin Institute for Low Temperature Physics and Engineering of the Ukrainian Academy of Sciences, 47 Lenin Avenue, Kharkov 310164 (Ukraine)

The Aharonov{endash}Bohm effect is the quantum interference of charged particles in mesoscopic rings enclosing a magnetic field. The wavefunction acquires a phase due to the field flux {phi} and gives rise to flux-dependent oscillations in persistent charge currents. The period and amplitude of the oscillations are associated with the properties of the Fermi surface of the elementary excitations. For systems with one Fermi surface the groundstate persistent current has the form of a saw-tooth. The temperature reduces the amplitudes of oscillation by smearing the Fermi surface. The amplitude of higher harmonics decreases faster with {ital T} than the fundamental one, changing the saw-tooth to a more sinusoidal form with much smaller amplitude. The controlling parameter is {ital LT}/{ital zv}{sub {ital F}}, where {ital L} is the length of the ring, {ital v}{sub {ital F}} is the Fermi velocity and {ital z} the dressed generalized charge. Our calculations are performed within the framework of Bethe{close_quote}s ansatz. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 280057
• Report Number(s): CONF-951101--
• Journal Information: Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 8 Vol. 79; ISSN JAPIAU; ISSN 0021-8979
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AHARONOV-BOHM EFFECT
GROUND STATES
HEISENBERG MODEL
HUBBARD MODEL
SIZE EFFECT
TEMPERATURE DEPENDENCE