Moire butterflies in twisted bilayer graphene

被引：181

作者：

Bistritzer, R. ^{[1
]}

MacDonald, A. H. ^{[1
]}

机构：

[1] Univ Texas Austin, Dept Phys, Austin, TX 78712 USA

来源：

PHYSICAL REVIEW B | 2011年 / 84卷 / 03期

关键词：

QUANTIZED HALL CONDUCTANCE; INTERACTING ELECTRONS; MAGNETIC-FIELD;

D O I：

10.1103/PhysRevB.84.035440

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Hofstadter butterfly spectral patterns of lattice electrons in an external magnetic field yield some of the most beguiling images in physics. Here we explore the magnetoelectronic spectra of systems with moire spatial patterns, concentrating on the case of twisted bilayer graphene. Because long-period spatial patterns are accurately formed at small twist angles, fractal butterfly spectra and associated magnetotransport and magnetomechanical anomalies emerge at accessible magnetic field strengths.

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页数：4

相关论文

共 32 条

[1] Evidence of Hofstadter's fractal energy spectrum in the quantized Hall conductance [J].

Albrecht, C ;

Smet, JH ;

von Klitzing, K ;

Weiss, D ;

Umansky, V ;

Schweizer, H .

PHYSICAL REVIEW LETTERS, 2001, 86 (01) :147-150

[2]

Amidror I, 2009, COMPUT IMAGING VIS, V38, P1

[3] DIOPHANTINE EQUATION FOR THE HALL CONDUCTANCE OF INTERACTING ELECTRONS ON A TORUS [J].

AVRON, JE ;

YAFFE, LG .

PHYSICAL REVIEW LETTERS, 1986, 56 (19) :2084-2087

[4] Transport between twisted graphene layers [J].

Bistritzer, R. ;

MacDonald, A. H. .

PHYSICAL REVIEW B, 2010, 81 (24)

[5] QUANTIZED HALL CONDUCTANCE IN A PERFECT CRYSTAL [J].

DANA, I ;

AVRON, Y ;

ZAK, J .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1985, 18 (22) :L679-L683

[6] Localization of Dirac Electrons in Rotated Graphene Bilayers [J].

de laissardiere, G. Trambly ;

Mayou, D. ;

Magaud, L. .

NANO LETTERS, 2010, 10 (03) :804-808

[7] Graphene bilayer with a twist: Electronic structure [J].

dos Santos, J. M. B. Lopes ;

Peres, N. M. R. ;

Castro Neto, A. H. .

PHYSICAL REVIEW LETTERS, 2007, 99 (25)

[8] Magnetic fingerprints of fractal spectra and the duality of Hofstadter models [J].

Gat, O ;

Avron, JE .

NEW JOURNAL OF PHYSICS, 2003, 5 :44.1-44.8

[9] Detection of a Landau band-coupling-induced rearrangement of the Hofstadter butterfly [J].

Geisler, MC ;

Smet, JH ;

Umansky, V ;

von Klitzing, K ;

Naundorf, B ;

Ketzmerick, R ;

Schweizer, H .

PHYSICAL REVIEW LETTERS, 2004, 92 (25) :256801-1

[10] SINGLE BAND MOTION OF CONDUCTION ELECTRONS IN A UNIFORM MAGNETIC FIELD [J].

HARPER, PG .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1955, 68 (10) :874-878

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