Al’tshuler-Aronov-Spivak Effect and Quantum Chaos in Ballistic Systems

Shiro Kawabata ()
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Shiro Kawabata: Osaka City University, Department of Applied Physics

A chapter in Complexity and Diversity, 1997, pp 117-119 from Springer

Abstract: Abstract The magneto-conductance G(B) in a two-dimensional ballistic system is studied theoretically within the framework of semiclassical scattering theory. The existence of Φ0/2(Φ0 = hc/e) oscillation of analogous to Al’tshuler-Aronov-Spivak effect in disordered metal rings, is theoretically predicted for experimentally-realizable ballistic Aharonov-Bohm billiards. The diagonal-term of the wave-number averaged reflection probability δℜ D (Φ) is calculated for chaotic and integrable (and mixed) billiards. We find that the difference between chaotic and integrable (and mixed) classical scatterings produces qualitatively different formulas for δℜ D (Φ) with their behavior determined only by knowledge on the underlying classical dynamics.

Keywords: Ballistic transport; weak localization; Al’tshuler-Aronov-Spivak effect; quantum chaos; semiclassical theory (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-66862-6_21

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DOI: 10.1007/978-4-431-66862-6_21

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