Online citations, reference lists, and bibliographies.
← Back to Search

Unconventional Quantum Hall Effect And Berry’s Phase Of 2π In Bilayer Graphene

K. Novoselov, E. McCann, S. Morozov, V. Fal’ko, M. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, A. Geim
Published 2006 · Physics

Save to my Library
Download PDF
Analyze on Scholarcy Visualize in Litmaps
Share
Reduce the time it takes to create your bibliography by a factor of 10 by using the world’s favourite reference manager
Time to take this seriously.
Get Citationsy
There are two known distinct types of the integer quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems1,2, and the other is its relativistic counterpart observed in graphene, where charge carriers mimic Dirac fermions characterized by Berry’s phase π, which results in shifted positions of the Hall plateaus3,4,5,6,7,8,9. Here we report a third type of the integer quantum Hall effect. Charge carriers in bilayer graphene have a parabolic energy spectrum but are chiral and show Berry’s phase 2π affecting their quantum dynamics. The Landau quantization of these fermions results in plateaus in Hall conductivity at standard integer positions, but the last (zero-level) plateau is missing. The zero-level anomaly is accompanied by metallic conductivity in the limit of low concentrations and high magnetic fields, in stark contrast to the conventional, insulating behaviour in this regime. The revealed chiral fermions have no known analogues and present an intriguing case for quantum-mechanical studies.
This paper references
10.1103/PHYSREV.71.622
The Band Theory of Graphite
P. Wallace (1947)
10.1016/0375-9601(73)90968-7
Diamagnetism of graphite
M. P. Sharma (1973)
10.1016/0379-6779(82)90047-9
Intercalation compounds of graphite
I. Palchan (1982)
10.1098/rspa.1984.0023
Quantal phase factors accompanying adiabatic changes
M. Berry (1984)
Quantal phase factor accompanying adiabatic change
M V Berry (1984)
10.1119/1.15766
The Quantum Hall Effect
R. Joynt (1988)
10.1103/PHYSREVLETT.61.2015
Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the "parity anomaly"
Haldane (1988)
10.1007/978-94-010-9709-3
Quantum Hall Effect: A Perspective
A. MacDonald (1989)
Quantum Hall Effect: A Perspective (Kluwer Academic, Dordrecht
A. H. Macdonald (1990)
The quantum Hall effect (Springer-Verlag
R. E. Prange (1990)
10.1103/PHYSREVB.45.4460
Interplanar binding and lattice relaxation in a graphite dilayer.
Trickey (1992)
10.1103/PHYSREVB.65.245420
Hall conductivity of a two-dimensional graphite system
Yisong Zheng (2002)
10.1126/SCIENCE.1102896
Electric Field Effect in Atomically Thin Carbon Films
K. Novoselov (2004)
10.1073/pnas.0502848102
Two-dimensional atomic crystals.
K. Novoselov (2005)
10.1038/nature04233
Two-dimensional gas of massless Dirac fermions in graphene
K. Novoselov (2005)
10.1103/PhysRevLett.95.146801
Unconventional integer quantum Hall effect in graphene.
V. Gusynin (2005)
10.1038/nature04235
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Y. Zhang (2005)
10.1103/PhysRevLett.96.086805
Landau-level degeneracy and quantum Hall effect in a graphite bilayer.
E. McCann (2006)
10.1016/j.aop.2006.04.006
Electronic properties of two-dimensional carbon
N. Peres (2006)



This paper is referenced by
10.1103/PhysRevB.103.214311
Bilayer Photonic Graphene
M. Oudich (2021)
10.1088/2053-1591/abdd51
Research on the dielectric constant of graphene solution at the microwave frequency of 9.212GHz
Tian-Yi Jiao (2021)
10.1088/1361-648X/abf7e0
Topological plasmonic waveguides in triharmonic metal gratings
T. Smith (2021)
10.1007/s00706-020-02723-1
Tuning electronic properties of bilayer α2-graphyne by external electric field: a density functional theory study
R. Majidi (2021)
10.1103/PhysRevB.104.045101
Gross-Neveu-Heisenberg criticality from competing nematic and antiferromagnetic orders in bilayer graphene
Shouryya Ray (2021)
10.1016/J.CAP.2020.12.016
Detection of hidden localized states by the quantum Hall effect in graphene
Tuan Khanh Chau (2021)
10.1021/acs.nanolett.1c02211
Out-of-Plane Dielectric Susceptibility of Graphene in Twistronic and Bernal Bilayers
S. Slizovskiy (2021)
Nonlinear intensity dependence of terahertz edge photocurrents in graphene
S. Candussio (2021)
10.1039/D0TC04998K
Ordered boron phosphorus codoped graphene realizing widely tunable quasi Dirac-cone gap
L.-B. Meng (2021)
10.1002/ADMT.202000744
Synthesis of Wafer‐Scale Graphene with Chemical Vapor Deposition for Electronic Device Applications
Bao-min Sun (2021)
10.1016/J.REVIP.2021.100054
Graphene Plasmon for Optoelectronics
LinHai Cui (2021)
10.1021/acs.nanolett.0c04498
Proximate Quantum Spin Liquid on Designer Lattice.
Xiaoran Liu (2021)
Continuously Tunable Berry Phase and Valley-Polarized Energy Spectra in Bilayer Graphene Quantum Dots
Ya-Ning Ren (2021)
10.1038/S42254-020-00276-0
Engineering symmetry breaking in 2D layered materials
Luojun Du (2021)
Topologically protected one-dimensional electronic states in group IV two-dimensional Dirac materials
H. Zandvliet (2021)
10.1103/PHYSREVB.103.165415
Optical properties of massive anisotropic tilted Dirac systems
M. Abraham Mojarro (2021)
10.1103/PHYSREVB.103.L161407
Robust wavefront dislocations of Friedel oscillations in gapped graphene
Shu-Hui Zhang (2021)
10.33915/ETD.7994
Experimental Investigations of Contact Friction and Transport Properties of Monolayer and Bilayer Graphene
P. Gajurel (2021)
Confinement in bilayer graphene via intra- and inter-layer interactions
M. Castillo-Celeita (2021)
Local Measurements of Shubnikov-de Haas Oscillations in Graphene Systems
Y. Ren (2021)
J an 2 01 2 Ordered Semiconducting Nitrogen-Graphene Alloys
H. J. Xiang (2021)
10.1103/PHYSREVB.103.125156
Signatures of optical conductivity in double-layer graphene excitonic condensate
Van-Nham Phan (2021)
10.1007/978-981-16-1052-3_8
Edge State Induced Spintronic Properties of Graphene Nanoribbons: A Theoretical Perspective
Soumya Das (2021)
10.1007/978-3-030-55777-5_30
Nonlinear Coherent States for Anisotropic 2D Dirac Materials
E. Díaz-Bautista (2021)
10.3390/nano11051194
Atomistic Band-Structure Computation for Investigating Coulomb Dephasing and Impurity Scattering Rates of Electrons in Graphene
T. Do (2021)
Edge state in AB-stacked bilayer graphene and its correspondence with SSH ladder
Tixuan Tan (2021)
10.1088/1361-648X/ac0b1e
Bilayer graphene in strong ultrafast laser fields
Pardeep Kumar (2021)
10.1088/2053-1583/ac186e
Revealing the non-adiabatic and non-Abelian multiple-band effects via anisotropic valley Hall conduction in bilayer graphene
Ci. Li (2021)
10.1038/s41598-021-93220-w
Enhancement of the thermoelectric properties in bilayer graphene structures induced by Fano resonances
J. A. Briones-Torres (2021)
10.1016/J.MSSP.2021.105826
Transport properties of B/P doped graphene nanoribbon field-effect transistor
Chenkang Rui (2021)
10.1016/j.jsv.2020.115870
Tunable frequency response of topologically protected interface modes for membrane-type metamaterials via voltage control
Zhenyu Chen (2021)
10.1002/SSTR.202000153
Recent Advances in Synthesis and Study of 2D Twisted Transition Metal Dichalcogenide Bilayers
Bijun Tang (2021)
See more
Semantic Scholar Logo Some data provided by SemanticScholar