Edge state tunneling in a split Hall bar model

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 4, 2005, Pages

  Papa, Emiliano ^a   MacDonald, A H ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749233622     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.045324     Document Type: Article

References (56)

1. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.12838 41, 12838 (1990);
2. X. G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2206 64, 2206 (1990);
3. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.11025 43, 11025 (1990).
4. For a review of quantum Hall edge state physics see A. M. Chang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1449 75, 1449 (2003).
5. S. Roddaro, V. Pellegrini, F. Beltram, G. Biasiol, and L. Sorba, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.046801 93, 046801 (2004);
6. S. Roddaro, V. Pellegrini, F. Beltram, G. Biasiol, L. Sorba, R. Raimondi, and G. Vignale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.046805 90, 046805 (2003).
7. R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) NATUAS 0028-0836 10.1038/38241 389, 162 (1997);
8. Y. C. Chung, M. Heiblum, Y. Oreg, V. Umansky, and D. Mahalu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.201104 67, 201104 (R) (2003);
9. Y. C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.216804 91, 216804 (2003).
10. L. Saminadayar, D. C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2526 79, 2526 (1997).
11. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.15233 46, 15233 (1992);
12. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1220 68, 1220 (1992);
13. A. Furusaki and N. Nagaosa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.3827 47, 3827 (1993);
14. K. Moon, H. Yi, C. L. Kane, S. M. Girvin, and Matthew P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.4381 71, 4381 (1993);
15. P. A. Fendley, A. W. W. Ludwig, and H. Saleur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3005 74, 3005 (1995);
16. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.13449 51, 13449 (1995);
17. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.045307 67, 045307 (2003).
18. E.-A. Kim and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.045317 67, 045317 (2003);
19. E.-A. Kim and E. Fradkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.156801 91, 156801 (2003).
20. U. Zülicke and E. Shimshoni, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.085307 69, 085307 (2004);
21. U. Zülicke and E. Shimshoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.079902 92, 079902 (E) (2004).
22. P. Fendley, A. W. W. Ludwig, and H. Saleur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3005 74, 3005 (1995);
23. P. Fendley, A. W. W. Ludwig, and H. Saleur, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.8934 52, 8934 (1995).
24. R. D'Agosta, R. Raimondi, and G. Vignale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035314 68, 035314 (2003);
25. R. D'Agosta, G. Vignale, and R. Raimondi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.086801 94, 086801 (2005).
26. W. Kang, H. L. Stormer, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Nature (London) NATUAS 0028-0836 10.1038/47436 403, 59 (2000);
27. I. Yang, W. Kang, K. W. Baldwin, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.056802 92, 056802 (2004);
28. I. Yang, W. Kang, L. N. Pfeiffer, K. W. Baldwin, K. W. West, E. Kim, and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.113312 71, 113312 (2005).
29. M. Grayson, M. Huber, M. Rother, W. Biberacher, W. Wegscheider, M. Bichler, and G. Abstreiter, Physica E (Amsterdam) PELNFM 1386-9477 25, 212 (2004);
30. M. Huber, M. Grayson, M. Rother, W. Biberacher, W. Wegscheider, and G. Abstreiter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.016805 94, 016805 (2005).
31. A. Mitra and S. M. Girvin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.241302 64, 041309 (R) (2001).
32. M. Grayson, D. C. Tsui, L. N. Pfeiffer, K. W. West, and A. M. Chang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1062 80, 1062 (1998);
33. M. Grayson, D. C. Tsui, L. N. Pfeiffer, K. W. West, and A. M. Chang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2645 86, 2645 (2001).
34. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.15231 56, 15231 (1997).
35. S. R. Renn and D. P. Arovas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.16832 51, 16832 (1995).
36. I. Safi and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.R17040 52, R17040 (1995);
37. I. Safi and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.3040 59, 3040 (1999).
38. L. P. Pryadko, E. Shimshoni, and A. Auerbach, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10929 61, 10929 (2000).
39. D. B. Chklovskii, B. I. Shklovskii, and L. I. Glazman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.4026 46, 4026 (1992);
40. A. H. MacDonald, S. R. E. Yang, and M. D. Johnson, Aust. J. Phys. AUJPAS 0004-9506 10.1103/PhysRevB.46.4026 46, 345 (1993);
41. C. de C. Chamon and X.-G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.8227 49, 8227 (1994);
42. X. Wan, K. Yang, and E. H. Rezayi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.056802 88, 056802 (2002);
43. K. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.036802 91, 036802 (2003);
44. M. D. Johnson and G. Vignale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.205332 67, 205332 (2003).
45. U. Zülicke, A. H. MacDonald, and M. D. Johnson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.13778 58, 13778 (1998);
46. U. Zülicke and A. H. MacDonald, Physica E (Amsterdam) PELNFM 1386-9477 6, 104 (2000);
47. A. H. MacDonald, S.-R. Eric Yang, and M. D. Johnson, Aust. J. Phys. AUJPAS 0004-9506 10.1103/PhysRevB.46.4026 46, 345 (1993).
48. A. O. Gogolin, A. Nersesyan, and A. M. Tsvelik, Bosonization in Strongly Correlated Systems (Cambridge University Press, Cambridge, England, 1999).
49. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 5th ed. (Academic Press, New York, 1994).
50. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I. A. Stegun, (Dover, New York, 1972).
51. O. Heinonen and S. Eggert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.358 77, 358 (1996).
52. B. Rosenow and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.096404 88, 096404 (2002).
53. E. Papa and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.126801 93, 126801 (2004).
54. A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 64.220 64, 220 (1990).
55. I. A. Larkin and V. B. Shikin, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(90)90293-W 151, 335 (1990).
56. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.15231 56, 15231 (1997).