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

In: Complexity and Diversity

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  • Shiro Kawabata

    (Osaka City University, Department of Applied Physics)

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.

Suggested Citation

  • Shiro Kawabata, 1997. "Al’tshuler-Aronov-Spivak Effect and Quantum Chaos in Ballistic Systems," Springer Books, in: Eiichi Ryoku Nakamura & Kiyoshi Kudo & Osamu Yamakawa & Yoichi Tamagawa (ed.), Complexity and Diversity, pages 117-119, Springer.
    • Handle: RePEc:spr:sprchp:978-4-431-66862-6_21
    DOI: 10.1007/978-4-431-66862-6_21
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