Linear response and the Thomas-Fermi approximation in undoped graphene

被引：15

作者：

Brey, L. ^{[1
]}

Fertig, H. A. ^{[2
]}

机构：

[1] CSIC, Inst Ciencia Mat Madrid, Canto Blanco 28049, Spain

[2] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

来源：

PHYSICAL REVIEW B | 2009年 / 80卷 / 03期

基金：

美国国家科学基金会;

关键词：

SHEETS; GAS;

D O I：

10.1103/PhysRevB.80.035406

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We analyze the range of validity of Thomas-Fermi theory for describing charge-density modulations induced by external potentials in neutral graphene. We compare exact results obtained from a tight-binding calculation with those of linear-response theory and the Thomas-Fermi approximation. For experimentally interesting ranges of size and density amplitudes (electron densities less than similar to 10(11) cm(-2), and spatial length scales below similar to 20 nm), linear response is significantly more accurate than Thomas-Fermi theory.

引用

页数：6

共 32 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] Screening effect and impurity scattering in monolayer graphene [J].

Ando, Tsuneya .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2006, 75 (07)

[3] Exchange-induced charge inhomogeneities in rippled neutral graphene [J].

Brey, L. ;

Palacios, J. J. .

PHYSICAL REVIEW B, 2008, 77 (04)

[4] Edge states and the quantized Hall effect in graphene [J].

Brey, L ;

Fertig, HA .

PHYSICAL REVIEW B, 2006, 73 (19)

[5] Electronic states of graphene nanoribbons studied with the Dirac equation [J].

Brey, L ;

Fertig, HA .

PHYSICAL REVIEW B, 2006, 73 (23)

[6]

BREY L, PHYS REV LE IN PRESS, P3408

[7] 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

[8] Selective transmission of Dirac electrons and ballistic magnetoresistance of n-p junctions in graphene [J].

Cheianov, Vadim V. ;

Fal'ko, Vladimir I. .

PHYSICAL REVIEW B, 2006, 74 (04)

[9]

FERTIG HA, UNPUB

[10]

FOGLER MM, ARXIV08101755, P16804

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