Conductance quantization and snake states in graphene magnetic waveguides

被引：104

作者：

Ghosh, T. K. ^{[1
]}

De Martino, A. ^{[1
]}

Haeusler, W. ^{[1
]}

Dell'Anna, L. ^{[1
]}

Egger, R.

机构：

[1] Univ Dusseldorf, Inst Theoret Phys, D-40225 Dusseldorf, Germany

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 08期

关键词：

D O I：

10.1103/PhysRevB.77.081404

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider electron waveguides (quantum wires) in graphene created by suitable inhomogeneous magnetic fields. The properties of unidirectional snake states are discussed. For a certain magnetic field profile, two spatially separated counterpropagating snake states are formed, leading to conductance quantization insensitive to backscattering by impurities or irregularities of the magnetic field.

引用

页数：4

共 35 条

[1] Spin-filtered edge states and quantum hall effect in graphene [J].

Abanin, DA ;

Lee, PA ;

Levitov, LS .

PHYSICAL REVIEW LETTERS, 2006, 96 (17)

[2] GROUND-STATE OF A SPIN-1-2 CHARGED-PARTICLE IN A 2-DIMENSIONAL MAGNETIC-FIELD [J].

AHARONOV, Y ;

CASHER, A .

PHYSICAL REVIEW A, 1979, 19 (06) :2461-2462

[3]

Ashcroft N W., 1976, Solid State Physics

[4]

BADALYAN SM, 2001, PHYS REV B, V64, P5420

[5] Electronic confinement and coherence in patterned epitaxial graphene [J].

Berger, Claire ;

Song, Zhimin ;

Li, Xuebin ;

Wu, Xiaosong ;

Brown, Nate ;

Naud, Cecile ;

Mayou, Didier ;

Li, Tianbo ;

Hass, Joanna ;

Marchenkov, Atexei N. ;

Conrad, Edward H. ;

First, Phillip N. ;

de Heer, Wait A. .

SCIENCE, 2006, 312 (5777) :1191-1196

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

Brey, L ;

Fertig, HA .

PHYSICAL REVIEW B, 2006, 73 (23)

[7] Effect of edge transmission and elastic scattering on the resistance of magnetic barriers: Experiment and theory [J].

Cerchez, M. ;

Hugger, S. ;

Heinzel, T. ;

Schulz, N. .

PHYSICAL REVIEW B, 2007, 75 (03)

[8] Chiral Luttinger liquids at the fractional quantum Hall edge [J].

Chang, AM .

REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1449-1505

[9] Magnetic confinement of massless Dirac fermions in graphene [J].

De Martino, A. ;

Dell'Anna, L. ;

Egger, R. .

PHYSICAL REVIEW LETTERS, 2007, 98 (06)

[10] Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields [J].

Erdos, L ;

Vougalter, V .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 225 (02) :399-421

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