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Nakamura K., Harayama T. — Quantum chaos and quantum dots
Nakamura K., Harayama T. — Quantum chaos and quantum dots



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Название: Quantum chaos and quantum dots

Авторы: Nakamura K., Harayama T.

Аннотация:

Dynamics of billiard balls and their role in physics have received wide attention. 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 ite 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.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 208

Добавлена в каталог: 23.10.2010

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Предметный указатель
Velocity-correlation function      149
Velocity-velocity correlation function      124
Viscosity coefficient      184
Wavefront      20
Weak-localization corrections      102
Weak-localization peak      120
Weierstrass function      125 128
Winding number      65
Winding number distribution      110
1 2
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