Green's functions for a graphene sheet and quantum dot in a normal magnetic field

被引：16

作者：

Horing, Norman J. Morgenstern ^{[1
]}

Liu, S. Y. ^{[2
]}

机构：

[1] Stevens Inst Technol, Dept Phys & Engn Phys, Hoboken, NJ 07030 USA

[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 22期

关键词：

PLASMA; GAS;

D O I：

10.1088/1751-8113/42/22/225301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is concerned with the derivation of the retarded Green's function for a two-dimensional graphene layer in a perpendicular magnetic field in two explicit, analytic forms, which we employ in obtaining a closed-form solution for the Green's function of a tightly confined magnetized graphene quantum dot. The dot is represented by a delta((2))(r)-potential well and the system is subject to Landau quantization in the normal magnetic field.

引用

页数：9

共 11 条

[1] Theory of electronic states and transport in carbon nanotubes [J].

Ando, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (03) :777-817

[2] The electronic properties of graphene [J].

Castro Neto, A. H. ;

Guinea, F. ;

Peres, N. M. R. ;

Novoselov, K. S. ;

Geim, A. K. .

REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162

[3]

ERDELYI A, 1953, HIGH TRANSCENDENTAL, V2, P13

[4]

ERDELYI A, 1953, HIGH TRANSCENDENTAL, V2, P189

[5]

Horing N. J. M., UNPUB

[6] QUANTUM THEORY OF ELECTRON GAS PLASMA OSCILLATIONS IN A MAGNETIC FIELD [J].

HORING, NJ .

ANNALS OF PHYSICS, 1965, 31 (01) :1-&

[7]

HORING NJM, 1976, ANN PHYS-NEW YORK, V97, P216

[8]

MOON P, 1971, FIELD THEORY HDB, P171

[9] Two-dimensional gas of massless Dirac fermions in graphene [J].

Novoselov, KS ;

Geim, AK ;

Morozov, SV ;

Jiang, D ;

Katsnelson, MI ;

Grigorieva, IV ;

Dubonos, SV ;

Firsov, AA .

NATURE, 2005, 438 (7065) :197-200

[10] Electric field effect in atomically thin carbon films [J].

Novoselov, KS ;

Geim, AK ;

Morozov, SV ;

Jiang, D ;

Zhang, Y ;

Dubonos, SV ;

Grigorieva, IV ;

Firsov, AA .

SCIENCE, 2004, 306 (5696) :666-669

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