Fractional quantum Hall effect in suspended graphene probed with two-terminal measurements

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 368, Issue 1932, 2010, Pages 5403-5416

  Skachko, I ^a   Du, X ^a,d   Duerr, F ^a   Luican, A ^a   Abanin, D A ^b   Levitov, L S ^c   Andrei, E Y ^a  

^a RUTGERS UNIVERSITY   (United States)

^b PRINCETON UNIVERSITY   (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d STONY BROOK UNIVERSITY   (United States)

Author keywords

Correlated electron systems; Fractional quantum Hall effect; Quantum transport

Indexed keywords

CONFORMAL MAPPING; ELECTRONS; GRAPHENE; GYRATORS; HALL EFFECT; HALL EFFECT DEVICES; QUANTUM CHEMISTRY; QUANTUM ELECTRONICS;

CONFORMAL MAPPING TECHNIQUE; CORRELATED ELECTRON SYSTEMS; FRACTIONAL QUANTUM HALL EFFECTS; FRACTIONAL QUANTUM HALL STATE; GAAS; GAP VALUES; HOT SPOT; IN-FIELD; INHOMOGENEITIES; MESOSCOPICS; QUANTUM HALL STATE; QUANTUM TRANSPORT; QUASI PARTICLES; TERMINAL MEASUREMENTS; TRANSPORT DATA; TRANSPORT MODELS; TWO-DIMENSIONAL ELECTRON SYSTEM; TWO-TERMINAL CONDUCTANCE; VOLTAGE PROBES;

MAGNETIC FIELD EFFECTS;

EID: 78650145202     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2010.0226     Document Type: Article

References (44)

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24. Abanin, D. A. & Levitov, L. S. 2008 Conformal invariance and shape-dependent conductance of graphene samples. Phys. Rev. B 78, 035416. (doi:10.1103/PhysRevB.78.035416)
25. Abanin, D. A., Skachko, I., Du, X., Andrei, E. Y. & Levitov, L. S. 2010 Fractional quantum Hall effect in suspended graphene: transport coefficients and electron interaction strength. Phys. Rev. B. 81, 115410. (doi:10.1103/PhysRevB.81.115410)
26. Apalkov, V. M. & Chakraborty, T. 2006 Fractional quantum Hall states of Dirac electrons in graphene. Phys. Rev. Lett. 97, 126801. (doi:10.1103/PhysRevLett.97.126801) (Pubitemid 44440760)
27. Boebinger, G. S., Stormer, H. L., Tsui, D. C., Chang, A. M., Hwang, J. C. M., Cho, A. Y., Tu, C. W. & Weimann, G. 1987 Activation energies and localization in the fractional quantum Hall effect. Phys. Rev. B 36, 7919-7929. (doi:10.1103/PhysRevB.36.7919)
28. Bolotin, K. I., Sikes, K. J., Jiang, Z., Fudenberg, G., Hone, J., Kim, P. & Stormer, H. L. 2008 Ultrahigh electron mobility in suspended graphene. Solid State Commun. 146, 351-355. (doi:10.1016/j.ssc.2008.02.024)
29. Bolotin, K. I., Ghahari, F., Shulman, M. D., Stormer, H. L. & Kim, P. 2009 Observation of the fractional quantum Hall effect in graphene. Nature 462, 196-199. (doi:10.1038/nature08582)
30. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. 2009 The electronic properties of graphene. Rev. Mod. Phys. 81, 109. (doi:10.1103/RevModPhys.81.109)
31. Chakraborty T. & Pietilainen, P. (eds) 1995 The quantum Hall effects: integral and fractional, vol. 85. Series in Solid State Physics. New York, NY: Springer.
32. Du, X., Skachko, I., Barker, A. & Andrei, E. Y. 2008 Approaching ballistic transport in suspended graphene. Nat. Nanotechnol. 3, 491-495. (doi:10.1038/nnano.2008.199)
33. Du, X., Skachko, I., Duerr, F., Luican, A. & E. Y Andrei 2009 Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene. Nature 462, 192-195. (doi:10.1038/nature08522)
34. Giovannetti, G., Khomyakov, P. A., Brocks, G., Karpan, V. M., van den Brink, J. & Kelly, P. J. 2008 Doping graphene with metal contacts. Phys. Rev. Lett. 101, 026803. (doi:10.1103/PhysRevLett.101.026803)
35. Goerbig, M. O. & Regnault, N. 2007 Analysis of a SU(4) generalization of Halperin's wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets. Phys. Rev. B 75, 241405(R). (doi:10.1103/ PhysRevB.75.241405)
36. Gonzalez, J., Guinea, F. & Vozmediano, M. A. H. 1999 Marginal-fermi-liquid behavior from two-dimensional Coulomb interaction. Phys. Rev. B 59, R2474-R2477. (doi:10.1103/PhysRevB.59.R2474)
37. Huard, B., Stander, N., Sulpizio, J. A. & Goldhaber-Gordon, D. 2008 Evidence of the role of contacts on the observed electron-hole asymmetry in graphene. Phys. Rev. B 78, 121402(R). (doi:10.1103/PhysRevB.78.121402)
38. Ikushima, K., Sakuma, H., Komiyama, S. & Hirakawa, K. 2007 Visualization of quantum Hall edge channels through imaging of terahertz emission. Phys. Rev. B. 76, 165323. (doi:10.1103/PhysRevB.76.165323)
39. Jain, J. K. 1989 Composite-fermion approach for the fractional quantum Hall effect. Phys. Rev. Lett. 63, 199-202. (doi:10.1103/PhysRevLett.63.199)
40. Khveshchenko, D. V. 2007 Composite Dirac fermions in graphene. Phys. Rev. B 75, 153405. (doi:10.1103/PhysRevB.75.153405)
41. Klass, U., Dietsche, W. & Klitzing, K. V. 1991 Image of the dissipation in gated quantum Hall effect samples. Z. Phys. B 82, 351-354. (doi:10.1007/BF01357178)
42. Komiyama, S., Sakuma, H., Ikushina, K. & Hirakawa, K. 2006 Electron temperature of hot spots in quantum Hall conductors. Phys. Rev. B 73, 045333. (doi:10.1103/PhysRevB.73.045333) (Pubitemid 43270641)
43. Moser, J., Barreiro, A. & Bachtold, A. 2007 Current-induced cleaning of graphene. Appl. Phys. Lett. 91, 163513. (doi:10.1063/1.2789673) (Pubitemid 350004075)
44. Murzin, S. S., Weiss, M., Jansen, A. G. M. & Eberl, K. 2002 Universal flow diagram for the magnetoconductance in disordered GaAs layers. Phys. Rev B 66, 233314. (doi:10.1103/PhysRevB.66.233314)