Multiple magnetic barriers in graphene

被引：173

作者：

Dell'Anna, Luca ^{[1
]}

De Martino, Alessandro ^{[2
,3
]}

机构：

[1] SISSA ISAS, Int Sch Adv Studies, I-34014 Trieste, Italy

[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

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

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 04期

关键词：

band structure; graphene; magnetic multilayers; magnetic structure; superlattices; 2-DIMENSIONAL ELECTRONS; EDGE STATES;

D O I：

10.1103/PhysRevB.79.045420

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the behavior of charge carriers in graphene in inhomogeneous perpendicular magnetic fields. We consider two types of one-dimensional magnetic profiles, uniform in one direction: a sequence of N magnetic barriers and a sequence of alternating magnetic barriers and wells. In both cases, we compute the transmission coefficient of the magnetic structure by means of the transfer-matrix formalism and the associated conductance. In the first case the structure becomes increasingly transparent upon increasing N at fixed total magnetic flux. In the second case we find strong wave-vector filtering and resonant effects. We also calculate the band structure of a periodic magnetic superlattice and find a wave-vector-dependent gap around zero energy.

引用

页数：9

共 39 条

[11] Electron optics with magnetic vector potential barriers in graphene [J].

Ghosh, Sankalpa ;

Sharma, Manish .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (29)

[12] Conductance quantization and snake states in graphene magnetic waveguides [J].

Ghosh, T. K. ;

De Martino, A. ;

Haeusler, W. ;

Dell'Anna, L. ;

Egger, R. .

PHYSICAL REVIEW B, 2008, 77 (08)

[13]

Gradshteyn I. S., 2014, Table of Integrals, Series, and Products

[14] Unconventional integer quantum Hall effect in graphene [J].

Gusynin, VP ;

Sharapov, SG .

PHYSICAL REVIEW LETTERS, 2005, 95 (14)

[15] Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene [J].

Haeusler, W. ;

De Martino, A. ;

Ghosh, T. K. ;

Egger, R. .

PHYSICAL REVIEW B, 2008, 78 (16)

[16] Transport measurements across a tunable potential barrier in graphene [J].

Huard, B. ;

Sulpizio, J. A. ;

Stander, N. ;

Todd, K. ;

Yang, B. ;

Goldhaber-Gordon, D. .

PHYSICAL REVIEW LETTERS, 2007, 98 (23)

[17] Two-dimensional electrons in lateral magnetic superlattices [J].

Ibrahim, IS ;

Peeters, FM .

PHYSICAL REVIEW B, 1995, 52 (24) :17321-17334

[18] Hybrid hall effect device [J].

Johnson, M ;

Bennett, BR ;

Yang, MJ ;

Miller, MM ;

Shanabrook, BV .

APPLIED PHYSICS LETTERS, 1997, 71 (07) :974-976

[19] Chiral tunnelling and the Klein paradox in graphene [J].

Katsnelson, M. I. ;

Novoselov, K. S. ;

Geim, A. K. .

NATURE PHYSICS, 2006, 2 (09) :620-625

[20] Bound states in inhomogeneous magnetic field in graphene:: Semiclassical approach [J].

Kormanyos, A. ;

Rakyta, P. ;

Oroszlany, L. ;

Cserti, J. .

PHYSICAL REVIEW B, 2008, 78 (04)

← 1 2 3 4 →