Edge states on graphene ribbons in magnetic field: Interplay between Dirac and ferromagnetic-like gaps

被引：37

作者：

Gusynin, V. P. ^{[1
]}

Miransky, V. A. ^{[2
]}

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

Shovkovy, I. A. ^{[3
]}

Wyenberg, C. M. ^{[2
]}

机构：

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

[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

[3] Arizona State Univ, Sch Appl Arts & Sci, Mesa, AZ 85212 USA

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Dirac equation; ferromagnetism; graphene; Landau levels; magnetic field effects; numerical analysis; quantum Hall effect; FLAVOR SYMMETRY-BREAKING; QUANTUM; MODEL;

D O I：

10.1103/PhysRevB.79.115431

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall ferromagnetism gaps and dynamically generated Dirac-type masses. The analysis is done for graphene ribbons with both zigzag and armchair edges. The characteristic features of the spectrum of the edge states in both these cases are described. In particular, the conditions for the existence of the gapless edge states are established. Implications of these results for the interpretation of recent experiments are discussed.

引用

页数：11

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