Quantum hall to charge-density-wave phase transitions in ABC-trilayer graphene

Physical Review Letters

Volumn 109, Issue 12, 2012, Pages

  Barlas, Yafis ^a   Cote R ^b   Rondeau, Maxime ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FILLING FACTOR; LANDAU LEVELS; ORBITALS; QUANTUM HALL; QUANTUM HALL LIQUIDS; QUANTUM PHASE TRANSITIONS; TRILAYERS; UNIQUE FEATURES; ZERO KINETIC ENERGIES;

CHARGE DENSITY; GRAPHENE; PHASE TRANSITIONS;

QUANTUM THEORY;

EID: 84866552283     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.126804     Document Type: Article

References (31)

1. S.M. Girvin and A.H. MacDonald, in Perspectives in Quantum Hall Effects, edited by, S. Das Sarma, and, A. Pinczuk, (Wiley, New York, 1997), Chap. .
2. S.L. Sondhi, A. Karlhede, S.A. Kivelson, and E.H. Rezayi, Phys. Rev. B 47, 16419 (1993). PRBMDO 0163-1829 10.1103/PhysRevB.47.16419
3. Y. Zhang, Z. Jiang, J.P. Small, M.S. Purewal, Y.-W. Tan, M. Fazlollahi, J.D. Chudow, J.A. Jaszczak, H.L. Stormer, and P. Kim, Phys. Rev. Lett. 96, 136806 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.136806
4. K. Nomura and A.H. MacDonald, Phys. Rev. Lett. 96, 256602 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.256602 (Pubitemid 43974586)
5. Y. Barlas, R. Côté, K. Nomura, and A.H. MacDonald, Phys. Rev. Lett. 101, 097601 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.097601
6. R.T. Weitz, M.T. Allen, B.E. Feldman, J. Martin, and A. Yacoby, Science 330, 812 (2010); SCIEAS 0036-8075 10.1126/science.1194988
7. Y. Zhao, P. Cadden-Zimansky, Z. Jiang, and P. Kim, Phys. Rev. Lett. 104, 066801 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.066801
8. E. McCann and V.I. Falko, Phys. Rev. Lett. 96, 086805 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.086805 (Pubitemid 43334272)
9. Y. Barlas, R. Côté, J. Lambert, and A.H. MacDonald, Phys. Rev. Lett. 104, 096802 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.096802
10. H. Min and A.H. MacDonald, Phys. Rev. B 77, 155416 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.155416
11. Y. Barlas, K. Yang, and A.H. MacDonald, Nanotechnology 23, 052001 (2012). NNOTER 0957-4484 10.1088/0957-4484/23/5/052001
12. L. Zhang, Nature Phys. 7, 953 (2011); NPAHAX 1745-2473 10.1038/nphys2104
13. W. Bao, Nature Phys. 7, 948 (2011); NPAHAX 1745-2473 10.1038/nphys2103
14. A. Kumar, W. Escoffier, J.M. Poumirol, C. Faugeras, D.P. Arovas, M.M. Fogler, F. Guinea, S. Roche, M. Goiran, and B. Raquet, Phys. Rev. Lett. 107, 126806 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.126806
15. F. Zhang, B. Sahu, H. Min, and A.H. MacDonald, Phys. Rev. B 82, 035409 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.82.035409
16. R. Côté, M. Rondeau, A.-M. Gagnon, and Y. Barlas, arXiv:cond-mat/1208.2237.
17. e-e ∼ √ B is sufficient reason to consider unscreened Coulomb interactions (see Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.109.126804 for screening at high fields in ABC-trilayer graphene).
18. I.B. Spielman, J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 84, 5808 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.5808
19. H.A. Fertig, Phys. Rev. B 40, 1087 (1989); PRBMDO 0163-1829 10.1103/PhysRevB.40.1087
20. A.H. MacDonald, P.M. Platzman, and G.S. Boebinger, Phys. Rev. Lett. 65, 775 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.65.775
21. K. Moon, H. Mori, K. Yang, S.M. Girvin, A.H. MacDonald, L. Zheng, D. Yoshioka, and S.-C. Zhang, Phys. Rev. B 51, 5138 (1995). PRBMDO 0163-1829 10.1103/PhysRevB.51.5138
22. See, for example, A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994).
23. S.A. Brazovskii, Zh. Eksp. Teor. Fiz. 68, 175 (1975) ZETFA7 0044-4510
24. [S.A. Brazovskii Sov. Phys. JETP 41, 85 (1975)]; SPHJAR 0038-5646
25. P.C. Hohenberg and J.B. Swift, Phys. Rev. E 52, 1828 (1995). PLEEE8 1063-651X 10.1103/PhysRevE.52.1828
26. S. Alexander and J. McTague, Phys. Rev. Lett. 41, 702 (1978). PRLTAO 0031-9007 10.1103/PhysRevLett.41.702
27. A.A. Koulakov, M.M. Fogler, and B.I. Shklovskii, Phys. Rev. Lett. 76, 499 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.499
28. K. Shizuya, Phys. Rev. B 79, 165402 (2009); PRBMDO 1098-0121 10.1103/PhysRevB.79.165402
29. R. Côté, W. Luo, B. Petrov, Y. Barlas, and A.H. MacDonald, Phys. Rev. B 82, 245307 (2010); PRBMDO 1098-0121 10.1103/PhysRevB.82.245307
30. R. Côté, J.P. Fouquet, and W. Luo, Phys. Rev. B 84, 235301 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.84.235301
31. M.P. Lilly, K.B. Cooper, J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 82, 394 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.394