Breakdown of the Quantum Hall Regime in a ‘Confined’ Graphene

Article Preview

Abstract:

Our focus is on the graphene under a magnetic field with Landau levels i.e. quantum Hall regime where a ‘confining potential’ is imposed by a finite electric field. In our theory, the graphene is modelled by a conventional fermion on a honeycomb lattice and the finite electric field is by a static potential. We reveal the fate/breakdown of the quantum Hall regime. A possible candidate of this kind of system is a grapheneQuantumDot, which we also discussed in the light of our theory.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

276-279

Citation:

Online since:

September 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, S. V. Dubonos, I. V. Grigorieva and A. A. Firsov, Science 306, 666. (2004).

DOI: 10.1126/science.1102896

Google Scholar

[2] K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos and A. A. Firsov, Nature 438, 197. (2005).

DOI: 10.1038/nature04233

Google Scholar

[3] Y. Zhang, Y. -W. Tan, H. L. Stormer and P. Kim, Nature 438, 201. (2005).

Google Scholar

[4] J. S. Bunch, Y. Yaish, M. Brin, K. Bolotin and P. L. McEuen, Nano Letters 5, 287. (2005).

Google Scholar

[5] L. A. Ponomarenko, F. Schedin, M. I. Katsnelson, R. Yang, E. W. Hill, K. S. Novoselov and A. K. Geim, Science 320, 356. (2008).

DOI: 10.1126/science.1154663

Google Scholar

[6] S. Moriyama, Y. Morita, D. Tsuya, E. Watanabe, S. Uji, M. Shimizu and K. Ishibashi, Sci. Technol. Adv. Mater. 11, 054601. (2010) and references therein.

Google Scholar

[7] S. Moriyama, Y. Morita, E. Watanabe and D. Tsuya, preprint.

Google Scholar

[8] Y. Morita and Y. Hatsugai, Phys. Rev. Lett. 79, 3728. (1997).

Google Scholar

[9] Y. Morita, M. Kohmoto and K. Maki, Phys. Rev. Lett. 78, 4841. (1997).

Google Scholar

[10] Y. Morita and Y. Hatsugai, Phys. Rev. Lett. 86, 151. (2001).

Google Scholar

[11] Y. Morita, K. Ishibashi and Y. Hatsugai, Phys. Rev. B. 61, 15952. (2000).

Google Scholar

[12] N. Gu, M. Rudner, A. Young, P. Kim and L. Levitov, Phys. Rev. Lett. 106, 066601. (2011).

Google Scholar

[13] P. G. Silvestrov and K. B. Efetov, Phys. Rev. Lett. 98, 016802. (2007).

Google Scholar