Dirac operator on the sphere with attached wires

doi:10.1088/1674-1056/25/4/047303

中国物理B ›› 2016, Vol. 25 ›› Issue (4): 47303-047303.doi: 10.1088/1674-1056/25/4/047303

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

Dirac operator on the sphere with attached wires

E N Grishanov, D A Eremin, D A Ivanov, I Yu Popov

1 Ogarev Mordovia State University Bolshevistskaya Str. 68, Saransk, Russia;
2 ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia

收稿日期:2015-07-08 修回日期:2016-01-09 出版日期:2016-04-05 发布日期:2016-04-05
通讯作者: I Yu Popov E-mail:popov1955@gmail.com
基金资助:
Project partially financially supported by the Funds from the Government of the Russian Federation (Grant No. 074-U01), the Funds from the Ministry of Education and Science of the Russian Federation (GOSZADANIE 2014/190) (Grant Nos. 14.Z50.31.0031 and 1.754.2014/K), and the President Foundation of the Russian Federation (Grant No. MK-5001.2015.1).

Dirac operator on the sphere with attached wires

E N Grishanov¹, D A Eremin¹, D A Ivanov¹, I Yu Popov²

1 Ogarev Mordovia State University Bolshevistskaya Str. 68, Saransk, Russia;
2 ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia

Received:2015-07-08 Revised:2016-01-09 Online:2016-04-05 Published:2016-04-05
Contact: I Yu Popov E-mail:popov1955@gmail.com
Supported by:
Project partially financially supported by the Funds from the Government of the Russian Federation (Grant No. 074-U01), the Funds from the Ministry of Education and Science of the Russian Federation (GOSZADANIE 2014/190) (Grant Nos. 14.Z50.31.0031 and 1.754.2014/K), and the President Foundation of the Russian Federation (Grant No. MK-5001.2015.1).

摘要/Abstract

摘要：

An explicitly solvable model for tunnelling of relativistic spinless particles through a sphere is suggested. The model operator is constructed by an operator extensions theory method from the orthogonal sum of the Dirac operators on a semi-axis and on the sphere. The transmission coefficient is obtained. The dependence of the transmission coefficient on the particle energy has a resonant character. One observes pairs of the Breit-Wigner and the Fano resonances. It correlates with the corresponding results for a non-relativistic particle.

关键词: Dirac operator, nanostructure, tunnelling, solvable model

Abstract:

Key words: Dirac operator, nanostructure, tunnelling, solvable model

中图分类号: (Ballistic transport)

73.23.Ad

73.63.-b (Electronic transport in nanoscale materials and structures) 02.30.Tb (Operator theory)

E N Grishanov, D A Eremin, D A Ivanov, I Yu Popov. Dirac operator on the sphere with attached wires[J]. 中国物理B, 2016, 25(4): 47303-047303.

E N Grishanov, D A Eremin, D A Ivanov, I Yu Popov. Dirac operator on the sphere with attached wires[J]. Chin. Phys. B, 2016, 25(4): 47303-047303.

参考文献 18

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Dirac operator on the sphere with attached wires

Dirac operator on the sphere with attached wires

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