Model of tunneling through periodic array of quantum dots in a magnetic field

doi:10.1088/1674-1056/21/11/117306

中国物理B ›› 2012, Vol. 21 ›› Issue (11): 117306-117306.doi: 10.1088/1674-1056/21/11/117306

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Model of tunneling through periodic array of quantum dots in a magnetic field

I. Yu. Popov, S. A. Osipov

St. Petersburg National Research University of Information Technologies,Mechanics and Optics, Kronverkskiy, 49, St. Petersburg 197101, Russia

收稿日期:2012-03-19 修回日期:2012-07-26 出版日期:2012-10-01 发布日期:2012-10-01
基金资助:
Project supported by the Federal Targeted Program "Scientific and Educational Human Resources for Innovation-Driven Russia" (Grant Nos. P689 NK-526P, 14.740.11.0879, 16.740.11.0030, and 2012-1.2.2-12-000-1001-047), the Russian Foundation for Basic Researches (Grant No. 11-08-00267), and the Federal Targeted Program "Researches and Development in the Priority Directions Developments of a Scientific and Technological Complex of Russia 2007-2013" (Grant No. 07.514.11.4146).

Model of tunneling through periodic array of quantum dots in a magnetic field

I. Yu. Popov, S. A. Osipov

St. Petersburg National Research University of Information Technologies,Mechanics and Optics, Kronverkskiy, 49, St. Petersburg 197101, Russia

Received:2012-03-19 Revised:2012-07-26 Online:2012-10-01 Published:2012-10-01
Contact: I. Yu. Popov E-mail:popov@mail.ifmo.ru
Supported by:
Project supported by the Federal Targeted Program "Scientific and Educational Human Resources for Innovation-Driven Russia" (Grant Nos. P689 NK-526P, 14.740.11.0879, 16.740.11.0030, and 2012-1.2.2-12-000-1001-047), the Russian Foundation for Basic Researches (Grant No. 11-08-00267), and the Federal Targeted Program "Researches and Development in the Priority Directions Developments of a Scientific and Technological Complex of Russia 2007-2013" (Grant No. 07.514.11.4146).

摘要/Abstract

摘要： Two-dimensional periodic array of quantum dots with two laterally coupled leads in a magnetic field is considered. The model of electron transport through the system based on the theory of self-adjoint extensions of symmetric operators is suggested. We obtain the formula for the transmission coefficient and investigate its dependence on the magnetic field.

关键词: tunneling, nanostructure, operator extension theory

Abstract: Two-dimensional periodic array of quantum dots with two laterally coupled leads in a magnetic field is considered. The model of electron transport through the system based on the theory of self-adjoint extensions of symmetric operators is suggested. We obtain the formula for the transmission coefficient and investigate its dependence on the magnetic field.

Key words: tunneling, nanostructure, operator extension theory

中图分类号: (Ballistic transport)

73.23.Ad

02.30.Tb (Operator theory)

I. Yu. Popov, S. A. Osipov . Model of tunneling through periodic array of quantum dots in a magnetic field[J]. 中国物理B, 2012, 21(11): 117306-117306.

I. Yu. Popov, S. A. Osipov. Model of tunneling through periodic array of quantum dots in a magnetic field[J]. Chin. Phys. B, 2012, 21(11): 117306-117306.

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Model of tunneling through periodic array of quantum dots in a magnetic field

Model of tunneling through periodic array of quantum dots in a magnetic field

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