Quantum chaos and quantum dots

Katsuhiro Nakamura, Takahisa Harayama - Collection Mesoscopic physics and nanotechnology

199 pages, parution le 09/02/2004

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Résumé

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 (electrons). 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 semi-classical 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, fractal magneto-conductance fluctuations, persistent current, Arnold diffusion and Coulomb blockade.

Sommaire

Quantum chaos and billiards
Quantum transport and chaos in billiards
Motion of a billiard ball
Semiclassical theory of conductance fluctuations
…

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Katsuhiro Nakamura, Takahisa Harayama
Collection	Mesoscopic physics and nanotechnology
Parution	09/02/2004
Nb. de pages	199
Format	16 x 24
Couverture	Relié
Poids	503g
Intérieur	Noir et Blanc
EAN13	9780198525899
ISBN13	978-0-19-852589-9