Bound states and magnetic field induced valley splitting in gate-tunable graphene quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 8, 2009, Pages

  Recher, Patrik ^a   Nilsson, Johan ^a   Burkard, Guido ^b   Trauzettel, Björn ^c  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b UNIVERSITY OF KONSTANZ   (Germany)

^c UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61549114667     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.085407     Document Type: Article

References (44)

1. A. K. Geim and K. S. Novoselov, Nature Mater. 6, 183 (2007). 10.1038/nmat1849
2. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, arXiv:0709.1163, Rev. Mod. Phys. (to be published).
3. Z. Chen, Y. Lin, M. Rooks, and P. Avouris, Physica E (Amsterdam) 40, 228 (2007). 10.1016/j.physe.2007.06.020
4. M. Y. Han, B. Ozyilmaz, Y. Zhang, and P. Kim, Phys. Rev. Lett. 98, 206805 (2007). 10.1103/PhysRevLett.98.206805
5. X. Li, X. Wang, L. Zhang, S. Lee, and H. Dai, Science 319, 1229 (2008). 10.1126/science.1150878
6. C. Stampfer, J. Güttinger, F. Molitor, D. Graf, T. Ihn, and K. Ensslin, Appl. Phys. Lett. 92, 012102 (2008). 10.1063/1.2827188
7. L. Ponomarenko, F. Schedin, M. Katsnelson, R. Yang, E. Hill, K. Novoselov, and A. Geim, Science 320, 356 (2008). 10.1126/science.1154663
8. S. Schnez, F. Molitor, C. Stampfer, J. Guettinger, I. Shorubalko, T. Ihn, and K. Ensslin, arXiv:0807.2710 (unpublished).
9. G. Giovannetti, P. A. Khomyakov, G. Brocks, P. J. Kelly, and J. van den Brink, Phys. Rev. B 76, 073103 (2007). 10.1103/PhysRevB.76.073103
10. S. Y. Zhou, G.-H. Gweon, A. V. Fedorov, P. N. First, W. A. de Heer, D.-H. Lee, F. Guinea, A. H. Castro Neto, and A. Lanzara, Nature Mater. 6, 770 (2007). 10.1038/nmat2003
11. E. McCann, Phys. Rev. B 74, 161403 (R) (2006). 10.1103/PhysRevB.74.161403
12. H. Min, B. Sahu, S. K. Banerjee, and A. H. MacDonald, Phys. Rev. B 75, 155115 (2007). 10.1103/PhysRevB.75.155115
13. T. Ohta, A. Bostwick, T. Seyller, K. Horn, and E. Rotenberg, Science 313, 951 (2006). 10.1126/science.1130681
14. E. V. Castro, K. S. Novoselov, S. V. Morozov, N. M. R. Peres, J. M. B. Lopes dos Santos, J. Nilsson, F. Guinea, A. K. Geim, and A. H. Castro Neto, Phys. Rev. Lett. 99, 216802 (2007). 10.1103/PhysRevLett.99.216802
15. J. B. Oostinga, H. B. Heersche, X. Liu, A. F. Morpurgo, and L. M. K. Vandersypen, Nature Mater. 7, 151 (2008).
16. A. De Martino, L. Dell'Anna, and R. Egger, Phys. Rev. Lett. 98, 066802 (2007). 10.1103/PhysRevLett.98.066802
17. H.-Y. Chen, V. Apalkov, and T. Chakraborty, Phys. Rev. Lett. 98, 186803 (2007). 10.1103/PhysRevLett.98.186803
18. P. G. Silvestrov and K. B. Efetov, Phys. Rev. Lett. 98, 016802 (2007); 10.1103/PhysRevLett.98.016802
19. A. Matulis and F. M. Peeters, Phys. Rev. B 77, 115423 (2008). 10.1103/PhysRevB.77.115423
20. A. Rycerz, J. Tworzydlo, and C. W. J. Beenakker, Nat. Phys. 3, 172 (2007). 10.1038/nphys547
21. P. Recher, B. Trauzettel, A. Rycerz, Y. M. Blanter, C. W. J. Beenakker, and A. F. Morpurgo, Phys. Rev. B 76, 235404 (2007). 10.1103/PhysRevB.76.235404
22. B. Trauzettel, D. Bulaev, D. Loss, and G. Burkard, Nat. Phys. 3, 192 (2007). 10.1038/nphys544
23. D. Xiao, W. Yao, and Q. Niu, Phys. Rev. Lett. 99, 236809 (2007). 10.1103/PhysRevLett.99.236809
24. C. W. J. Beenakker, Rev. Mod. Phys. 80, 1337 (2008). 10.1103/RevModPhys. 80.1337
25. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1965).
26. M. V. Berry and R. J. Mondragon, Proc. R. Soc. London, Ser. A 412, 53 (1987). 10.1098/rspa.1987.0080
27. F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988). 10.1103/PhysRevLett. 61.2015
28. J. Nilsson, A. H. Castro Neto, F. Guinea, and N. M. R. Peres, Phys. Rev. B 78, 045405 (2008). 10.1103/PhysRevB.78.045405
29. Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, arXiv:0807.3776 (unpublished).
30. L. M. Zhang, Z. Q. Li, D. N. Basov, M. M. Fogler, Z. Hao, and M. C. Martin, Phys. Rev. B 78, 235408 (2008). 10.1103/PhysRevB.78.235408
31. J. M. Pereira, P. Vasilopoulos, and F. M. Peeters, Nano Lett. 7, 946 (2007). 10.1021/nl062967s
32. J. M. Pereira, F. M. Peeters, and P. Vasilopoulos, Phys. Rev. B 76, 115419 (2007). 10.1103/PhysRevB.76.115419
33. E. V. Castro, K. S. Novoselov, S. V. Morozov, N. M. R. Peres, J. M. B. Lopes dos Santos, J. Nilsson, F. Guinea, A. K. Geim, and A. H. Castro Neto, arXiv:0807.3348 (unpublished).
34. J. Nilsson and A. H. Castro Neto, Phys. Rev. Lett. 98, 126801 (2007). 10.1103/PhysRevLett.98.126801
35. E. McCann and V. I. Fal'ko, Phys. Rev. Lett. 96, 086805 (2006). 10.1103/PhysRevLett.96.086805
36. Compare Eq. 31 with Eqs. (78a) and (65) of Ref.
37. I. Martin, Y. M. Blanter, and A. F. Morpurgo, Phys. Rev. Lett. 100, 036804 (2008). 10.1103/PhysRevLett.100.036804
38. P. Recher, E. V. Sukhorukov, and D. Loss, Phys. Rev. Lett. 85, 1962 (2000). 10.1103/PhysRevLett.85.1962
39. R. Hanson, B. Witkamp, L. M. K. Vandersypen, L. H. Willems van Beveren, J. M. Elzerman, and L. P. Kouwenhoven, Phys. Rev. Lett. 91, 196802 (2003). 10.1103/PhysRevLett.91.196802
40. J. M. Elzerman, R. Hanson, L. H. Willems van Beveren, B. Witkamp, L. M. K. Vandersypen, and L. P. Kouwenhoven, Nature (London) 430, 431 (2004). 10.1038/nature02693
41. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998). 10.1103/PhysRevA.57.120
42. G. Burkard, D. Loss, and D. P. DiVincenzo, Phys. Rev. B 59, 2070 (1999). 10.1103/PhysRevB.59.2070
43. D. Huertas-Hernando, F. Guinea, and A. Brataas, Phys. Rev. B 74, 155426 (2006). 10.1103/PhysRevB.74.155426
44. H. Min, J. E. Hill, N. A. Sinitsyn, B. R. Sahu, L. Kleinman, and A. H. MacDonald, Phys. Rev. B 74, 165310 (2006). 10.1103/PhysRevB.74.165310