A free-electron model for the Dirac bands in graphene

被引：1

作者：

Kissinger, G. S. ^{[1
]}

Satpathy, S. ^{[1
]}

机构：

[1] Univ Missouri, Dept Phys & Astron, Columbia, MO 65211 USA

来源：

PHYSICAL REVIEW B | 2016年 / 94卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.94.205126

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a new method for describing the electronic structure of graphene, by treating the honeycomb lattice as an arrangement of crisscrossing one-dimensional quantum wires. The electrons travel as free particles along the wires and interfere at the three-way junctions formed by the carbon atoms. The approach produces the linearly dispersive Dirac band structure as well as the chiral pseudo-spin-wave functions. When vacancies are incorporated, the model reproduces the well known zero mode states.

引用

页数：4

共 15 条

[1] Properties of graphene: a theoretical perspective [J].

Abergel, D. S. L. ;

Apalkov, V. ;

Berashevich, J. ;

Ziegler, K. ;

Chakraborty, Tapash .

ADVANCES IN PHYSICS, 2010, 59 (04) :261-482

[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] Electronic transport in two-dimensional graphene [J].

Das Sarma, S. ;

Adam, Shaffique ;

Hwang, E. H. ;

Rossi, Enrico .

REVIEWS OF MODERN PHYSICS, 2011, 83 (02) :407-470

[4] A FREE-ELECTRON THEORY OF CONJUGATED MOLECULES .1. POLYCYCLIC HYDROCARBONS [J].

GRIFFITH, JS .

TRANSACTIONS OF THE FARADAY SOCIETY, 1953, 49 (04) :345-351

[5] PERSISTENT CURRENTS AND CONDUCTANCE OF A METAL LOOP CONNECTED TO ELECTRON RESERVOIRS [J].

JAYANNAVAR, AM ;

DEO, PS .

PHYSICAL REVIEW B, 1994, 49 (19) :13685-13690

[6] 2 THEOREMS ON THE HUBBARD-MODEL [J].

LIEB, EH .

PHYSICAL REVIEW LETTERS, 1989, 62 (10) :1201-1204

[7] Fiber-mesh photonic molecule [J].

Mishra, Subodha ;

Satpathy, Sashi .

OPTICS COMMUNICATIONS, 2008, 281 (05) :1077-1081

[8]

Nair RR, 2012, NAT PHYS, V8, P199, DOI [10.1038/NPHYS2183, 10.1038/nphys2183]

[9] Electronic structure of the substitutional vacancy in graphene: density-functional and Green's function studies (vol 14, 083004, 2012) [J].

Nanda, B. R. K. ;

Sherafati, M. ;

Popovic, Z. S. ;

Satpathy, S. .

NEW JOURNAL OF PHYSICS, 2013, 15

[10] Electronic structure of the substitutional vacancy in graphene: density-functional and Green's function studies [J].

Nanda, B. R. K. ;

Sherafati, M. ;

Popovic, Z. S. ;

Satpathy, S. .

NEW JOURNAL OF PHYSICS, 2012, 14

← 1 2 →