Theory of the valley-valve effect in graphene nanoribbons

被引：153

作者：

Akhmerov, A. R. ^{[1
]}

Bardarson, J. H. ^{[1
]}

Rycerz, A. ^{[2
,3
]}

Beenakker, C. W. J. ^{[1
]}

机构：

[1] Leiden Univ, Inst Lorentz, NL-2300 RA Leiden, Netherlands

[2] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

[3] Jagiellonian Univ, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 20期

关键词：

D O I：

10.1103/PhysRevB.77.205416

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A potential step in a graphene nanoribbon with zigzag edges is shown to be an intrinsic source of intervalley scattering-no matter how smooth the step is on the scale of the lattice constant a. The valleys are coupled by a pair of localized states at the opposite edges, which act as an attractor and/or repellor for the edge states propagating in valley K/K'. The relative displacement A along the ribbon of the localized states determines the conductance G. Our result G = (e(2)/h)[1-cos(N pi+2 pi Delta/3a)] explains why the "valley-valve" effect (the blocking of the current by a p-n junction) depends on the parity of the number N of carbon atoms across the ribbon.

引用

页数：5

共 12 条

[1] Berry's phase and absence of back scattering in carbon nanotubes [J].

Ando, T ;

Nakanishi, T ;

Saito, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (08) :2857-2862

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

Brey, L ;

Fertig, HA .

PHYSICAL REVIEW B, 2006, 73 (23)

[3] Selective transmission of Dirac electrons and ballistic magnetoresistance of n-p junctions in graphene [J].

Cheianov, Vadim V. ;

Fal'ko, Vladimir I. .

PHYSICAL REVIEW B, 2006, 74 (04)

[4] Graphene nano-ribbon electronics [J].

Chen, Zhihong ;

Lin, Yu-Ming ;

Rooks, Michael J. ;

Avouris, Phaedon .

PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2007, 40 (02) :228-232

[5] Energy band-gap engineering of graphene nanoribbons [J].

Han, Melinda Y. ;

Oezyilmaz, Barbaros ;

Zhang, Yuanbo ;

Kim, Philip .

PHYSICAL REVIEW LETTERS, 2007, 98 (20)

[6] Edge state in graphene ribbons: Nanometer size effect and edge shape dependence [J].

Nakada, K ;

Fujita, M ;

Dresselhaus, G ;

Dresselhaus, MS .

PHYSICAL REVIEW B, 1996, 54 (24) :17954-17961

[7] Conductance quantization in mesoscopic graphene [J].

Peres, N. M. R. ;

Castro Neto, A. H. ;

Guinea, F. .

PHYSICAL REVIEW B, 2006, 73 (19)

[8] Valley filter and valley valve in graphene [J].

Rycerz, A. ;

Tworzydlo, J. ;

Beenakker, C. W. J. .

NATURE PHYSICS, 2007, 3 (03) :172-175

[9] Coulomb blockade in graphene nanoribbons [J].

Sols, F. ;

Guinea, F. ;

Castro Neto, A. H. .

PHYSICAL REVIEW LETTERS, 2007, 99 (16)

[10] Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction [J].

Tworzydlo, J. ;

Snyman, I. ;

Akhmerov, A. R. ;

Beenakker, C. W. J. .

PHYSICAL REVIEW B, 2007, 76 (03)

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