Importance of interband transitions for the fractional quantum Hall effect in bilayer graphene

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 20, 2012, Pages

  Snizhko, Kyrylo ^a,b   Cheianov, Vadim ^b   Simon, Steven H ^c  

^a TARAS SHEVCHENKO NATIONAL UNIVERSITY OF KYIV   (Ukraine)

^b LANCASTER UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861830786     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.201415     Document Type: Article

References (20)

1. X. Du, I. Shachko, F. Duerr, A. Luican, and E. Y. Andrei, Nature NATUAS 0028-0836 10.1038/nature08522 462, 192 (2009).
2. K. I. Bolotin, F. Ghahari, M. D. Shulman, H. L. Stormer, and P. Kim, Nature NATUAS 0028-0836 10.1038/nature08582 462, 196 (2009).
3. C. R. Dean, A. F. Young, P. Cadden-Zimansky, L. Wang, H. Ren, K. Watanabe, T. Taniguchi, P. Kim, J. Hone, and K. L. Shepard, Nat. Phys. 1745-2473 10.1038/nphys2007 7, 693 (2011).
4. M. O. Goerbig and N. Regnault, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.241405 75, 241405 (2007).
5. Z. Papic, R. Thomale, and D. A. Abanin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.176602 107, 176602 (2011).
6. V. M. Apalkov and T. Chakraborty, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.186803 107, 186803 (2011).
7. Z. Papic, D. A. Abanin, Y. Barlas, and R. N. Bhatt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.241306 84, 241306 (R) (2011).
8. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 51.605 51, 605 (1983).
9. M. R. Peterson, Th. Jolicoeur, and S. Das Sarma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.155308 78, 155308 (2008).
10. T. Chakraborty and P. Pietilainen, The Quantum Hall Effects: Integral and Fractional (Springer-Verlag, Berlin, 1995).
11. Y. Lemonik, I. L. Aleiner, C. Toke, and V. I. Falko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.201408 82, 201408 (R) (2010);
12. V. V. Cheianov, I. L. Aleiner, and V. I. Fal'ko, arXiv: 1107.4750.
13. G. Moore and N. Read, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550- 3213(91)90407-O 360, 362 (1991).
14. E. McCann and V. I. Fal'ko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.086805 96, 086805 (2006). (Pubitemid 43334272)
15. D. S. L. Abergel, V. Apalkov, J. Berashevich, K. Ziegler, and T. Chakraborty, Adv. Phys. ADPHAH 0001-8732 10.1080/00018732.2010.487978 59, 261 (2010).
16. L. D. Landau and L. M. Lifshitz, Quantum Mechanics Non-Relativistic Theory, 3rd ed. (Pergamon, New York, 1977).
17. A similar screening approach has been discussed in GaAs;
18. see, for example, R. Morf and N. d'Ambrumenil, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.113309 68, 113309 (2003).
19. S. M. Song and B. J. Cho, Nanotechnol. NNOTER 0957-4484 10.1088/0957-4484/21/33/335706 21, 335706 (2010).
20. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevB.85.201415 for more details on the behavior of the gaps and the overlaps.