Unveiling quantum Hall transport by Efros-Shklovskii to Mott variable-range hopping transition in graphene

被引:28
作者
Bennaceur, K. [1 ]
Jacques, P. [1 ]
Portier, F. [1 ]
Roche, P. [1 ]
Glattli, D. C. [1 ,2 ]
机构
[1] CEA Saclay, CNRS URA 2464, Serv Phys Etat Condense IRAMIS DSM, F-91191 Gif Sur Yvette, France
[2] Lab Pierre Aigrain, F-75231 Paris 05, France
基金
欧洲研究理事会;
关键词
COULOMB INTERACTION; LOCALIZATION; CONDUCTIVITY;
D O I
10.1103/PhysRevB.86.085433
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The quantum Hall effect is universal and expected to occur in all two-dimensional electron systems in perpendicular high-magnetic field. We revisit quantum localization thanks to the high-energy scale of the quantum Hall effect in graphene, where the electron dynamics obey the Dirac equation. We solve a long debated question on the nature of electron transport in the transition region between Hall resistance plateaus. Is it of metallic or of variable-range hopping type as proposed, respectively, by Pruisken and Polyakov-Shklovskii? To the best of our knowledge, no experiment was able to discriminate between these models. Here, measurements of the conductance peak width scaling exponents with both temperature and current and determination of the localization length validates the variable-range hopping scenario. This shows that the usual assumption of a metallic behavior of the two-dimensional electron gas (2DEG) between Hall resistance plateaus is unnecessary for macroscopic samples.
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页数:6
相关论文
共 27 条
[1]   EFFECT OF SCREENING OF THE COULOMB INTERACTION ON THE CONDUCTIVITY IN THE QUANTUM HALL REGIME [J].
ALEINER, IL ;
SHKLOVSKII, BI .
PHYSICAL REVIEW B, 1994, 49 (19) :13721-13727
[2]   Observation of the fractional quantum Hall effect in graphene [J].
Bolotin, Kirill I. ;
Ghahari, Fereshte ;
Shulman, Michael D. ;
Stormer, Horst L. ;
Kim, Philip .
NATURE, 2009, 462 (7270) :196-199
[3]   Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene [J].
Du, Xu ;
Skachko, Ivan ;
Duerr, Fabian ;
Luican, Adina ;
Andrei, Eva Y. .
NATURE, 2009, 462 (7270) :192-195
[4]   COULOMB GAP AND LOW-TEMPERATURE CONDUCTIVITY OF DISORDERED SYSTEMS [J].
EFROS, AL ;
SHKLOVSKII, BI .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (04) :L49-L51
[5]   Anderson transitions [J].
Evers, Ferdinand ;
Mirlin, Alexander D. .
REVIEWS OF MODERN PHYSICS, 2008, 80 (04) :1355-1417
[6]   Electronic transport and the localization length in the quantum Hall effect [J].
Furlan, M .
PHYSICAL REVIEW B, 1998, 57 (23) :14818-14828
[7]   Quantum-hall activation gaps in graphene [J].
Giesbers, A. J. M. ;
Zeitler, U. ;
Katsnelson, M. I. ;
Ponomarenko, L. A. ;
Mohiuddin, T. M. ;
Maan, J. C. .
PHYSICAL REVIEW LETTERS, 2007, 99 (20)
[8]   Scaling of the quantum Hall plateau-plateau transition in graphene [J].
Giesbers, A. J. M. ;
Zeitler, U. ;
Ponomarenko, L. A. ;
Yang, R. ;
Novoselov, K. S. ;
Geim, A. K. ;
Maan, J. C. .
PHYSICAL REVIEW B, 2009, 80 (24)
[9]   Quantum resistance metrology in graphene [J].
Giesbers, A. J. M. ;
Rietveld, G. ;
Houtzager, E. ;
Zeitler, U. ;
Yang, R. ;
Novoselov, K. S. ;
Geim, A. K. ;
Maan, J. C. .
APPLIED PHYSICS LETTERS, 2008, 93 (22)
[10]  
Hohls F, 2002, PHYS REV LETT, V88, DOI [10.1103/PhysRevLett.88.036802, 10.1103/PhysRevB.88.036802]