Quantum chaos and quantum dots
著者
書誌事項
Quantum chaos and quantum dots
（Mesoscopic physics and nanotechnology, 3）
Oxford University Press, 2004
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注記
Includes bibliographical references (p. 189-194) and index
内容説明・目次
内容説明
Dynamics of billiard balls and their role in physics have received wide attention since the monumental lecture by Lord Kelvin at the turn of the 19th century. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, i.e. quantum manifestation of chaos of billiard balls. In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices
analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins its exploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle
dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpret quantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters five to ten discuss the topical subjects in the field, including the ballistic weak
localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.
目次
- 1. Quantum chaos and billiards
- 2. Quantum transport and chaos in billiards
- 3. Motion of a billiard ball
- 4. Semiclassical theory of conductance fluctuations
- 5. Semiclassical quantization and thermodynamics of mesoscopic systems
- 6. Orbital diamagnetism and persistent current
- 7. Quantum interference in single open billiards
- 8. Linear response theory in semiclassical regime
- 9. Orbital bifurcations, Arnold diffusion and Coulomb blockade
- 10. Nonadiabatic transition, energy diffusion and generalized friction
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