Quantum Chaos and Quantum Dots (Mesoscopic Physics and Nanotechnology)
By Katsuhiro Nakamura, Takahisa Harayama
Publisher: Oxford University Press, USA
Number Of Pages: 216
Publication Date: 2004-02-12
ISBN-10 / ASIN: 0198525893
ISBN-13 / EAN: 9780198525899
Product Description:
Dynamics of billiard balls and their role in physics have received wideattention. Billiards can nowadays be created as quantum dots in themicroscopic 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 quantumdots, such as chaotic stadium and antidot lattices analogous to theSinai Billiard, can be fabricated at the interface of semiconductorheterojunctions. This book begins ite exploration of the effect ofchaotic electron dynamics on ballistic quantum transport in quantumdots with a puzzling experiment on resistance fluctuations for stadiumand circle dots. Throughout the text, major attention is paid to thesemiclassical theory which makes it possible to interpret quantumphenomena in the language of the classical world. Chapters one to fourare concerned with the elementary statistical methods (curvature,Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which areneeded 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-Spivakoscillation, partial time-reversal symmetry, persistent current, Arnolddiffusion and Coulomb blockade.
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发表于 2009-6-16 11:54:24