Electronic properties of graphene with a topological defect

被引：69

作者：

Sitenko, Yu. A. ^{[1
]}

Vlasii, N. D.

机构：

[1] Natl Acad Sci, Bogolyubov Inst Theoret Phys, UA-03680 Kiev, Ukraine

[2] Natl Taras Shevchenko Univ Kyiv, Dept Phys, UA-03127 Kiev, Ukraine

来源：

NUCLEAR PHYSICS B | 2007年 / 787卷 / 03期

关键词：

graphitic nanocones; disclinations; vortex; Dirac-Weyl equation; self-adjoint extension; density of states;

D O I：

10.1016/j.nuclphysb.2007.06.001

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Various types of topological defects in graphene are considered in the framework of the continuum model for long-wavelength electronic excitations, which is based on the Dirac-Weyl equation. The condition for the electronic wave function is specified, and we show that a topological defect can be presented as a pseudomagnetic vortex at the apex of a graphitic nanocone; the flux of the vortex is related to the deficit angle of the cone. The cases of all possible types of pentagonal defects, as well as several types of heptagonal defects (with the numbers of heptagons up to three, and six) are analyzed. The density of states and the ground state charge are determined. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：241 / 259

页数：19

共 35 条

[11] Electron fractionalization in two-dimensional graphenelike structures [J].

Hou, Chang-Yu ;

Chamon, Claudio ;

Mudry, Christopher .

PHYSICAL REVIEW LETTERS, 2007, 98 (18)

[12] Structure of polygonal defects in graphitic carbon sheets [J].

Ihara, S ;

Itoh, S ;

Akagi, K ;

Tamura, R ;

Tsukada, M .

PHYSICAL REVIEW B, 1996, 54 (20) :14713-14719

[13] Chiral gauge theory for graphene [J].

Jackiw, R. ;

Pi, S.-Y. .

PHYSICAL REVIEW LETTERS, 2007, 98 (26)

[14] SOLITONS WITH FERMION NUMBER 1/2 [J].

JACKIW, R ;

REBBI, C .

PHYSICAL REVIEW D, 1976, 13 (12) :3398-3409

[15] ZERO MODES OF THE VORTEX-FERMION SYSTEM [J].

JACKIW, R ;

ROSSI, P .

NUCLEAR PHYSICS B, 1981, 190 (04) :681-691

[16] Graphitic cones and the nucleation of curved carbon surfaces [J].

Krishnan, A ;

Dujardin, E ;

Treacy, MMJ ;

Hugdahl, J ;

Lynum, S ;

Ebbesen, TW .

NATURE, 1997, 388 (6641) :451-454

[17] Topological phases in graphitic cones [J].

Lammert, PE ;

Crespi, VH .

PHYSICAL REVIEW LETTERS, 2000, 85 (24) :5190-5193

[18] VORTEX-LINE MODELS FOR DUAL STRINGS [J].

NIELSEN, HB ;

OLESEN, P .

NUCLEAR PHYSICS B, 1973, B 61 (SEP24) :45-61

[19] Two-dimensional atomic crystals [J].

Novoselov, KS ;

Jiang, D ;

Schedin, F ;

Booth, TJ ;

Khotkevich, VV ;

Morozov, SV ;

Geim, AK .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (30) :10451-10453

[20] 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

← 1 2 3 4 →