Выпуски

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2001

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Supplement

  

Localization and quantum chaos


Order, disorder and chaos in 2D lattice of coupled Sinai billiards

 а,  а,  а,  б, в
а Институт физики полупроводников им. А.В. Ржанова СО РАН, просп. Лаврентьева 13, Новосибирск, 630090, Российская Федерация
б Institut National des Sciences Appliquées de Toulouse, France, Avenue de Rangueil, 135, Toulouse, 31077, France
в Max-Planck Institut für Festkörperforschung, Stuttgart, Germany

Transport properties of a new kind of ballistic electron billiards — two-dimensional ($\mathrm{2D}$) lattice of Sinai billiards coupled through quantum point contacts — are experimentally studied. This lattice is peculiar by simultaneous existence of the effects inherent to single Sinai billiards or quantum dots, and the features reflecting lattice properties of system. Magnetotransport measurements give very pronounced commensurability peak even if the conductivity of the lattice $G\ll e^2/h$. Consequently it preserves the properties of ballistic regular structure at these conductivity states. On the other hand, the gate voltage dependencies of $G$ show that the system behaves as percolation one. In weak magnetic fields negative magnetoresistance (NMR) is observed. It is described by theory of chaotic weak localization developed for case of single ballistic cavity. This NMR increases in going from $G>e^2/h$ to $G\ll e^2/h$. Thus, $\mathrm{2D}$ lattice of coupled Sinai billiards is a unique system where coexistence of order, disorder and chaos are clearly demonstrated.

Текст pdf (448 Кб)
English fulltext is available at DOI: 10.1070/1063-7869/44/10S/S02
PACS: 72.15.−v, 72.15.Rn, 05.60.Gg, 05.45.Mt (все)
DOI: 10.1070/1063-7869/44/10S/S02
URL: https://ufn.ru/ru/articles/2001/13/b/
Цитата: Budantsev M V, Kvon Z D, Pogosov W V, Portal J C "Order, disorder and chaos in 2D lattice of coupled Sinai billiards" УФН 171 20–24 (2001)
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English citation: Budantsev M V, Kvon Z D, Pogosov W V, Portal J C “Order, disorder and chaos in 2D lattice of coupled Sinai billiardsPhys. Usp. 44 20–24 (2001); DOI: 10.1070/1063-7869/44/10S/S02

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