Transport through constricted quantum Hall edge systems: Beyond the quantum point contact

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 3, 2008, Pages

  Lal, Siddhartha ^a  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38849092486     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.035331     Document Type: Article

References (79)

1. Thierry Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2004), and references therein.
2. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.12838 41, 12838 (1990);
3. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.11025 43, 11025 (1991);
4. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.5708 44, 5708 (1991).
5. X. G. Wen, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/ S0217979292000840 6, 1711 (1992).
6. A. M. Chang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1449 75, 1449 (2003).
7. X. G. Wen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739500101566 44, 405 (1995).
8. S. Roddaro, V. Pellegrini, F. Beltram, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.156804 95, 156804 (2005).
9. 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).
10. Y. C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.216804 91, 216804 (2003).
11. E. Comforti, Y. C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Nature (London) NATUAS 0028-0836 10.1038/416515a 416, 515 (2002).
12. S. Roddaro, U. Perinetti, V. Pellegrini, F. Beltram, L. N. Pfeiffer, and K. W. West, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe.2006.03.148 34, 132 (2006).
13. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1220 68, 1220 (1992);
14. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.15233 46, 15233 (1992).
15. See M. P. A. Fisher and L. I. Glazman, in Mesoscopic Electron Transport, edited by, L. Kouwenhoven,,, G. Schön,, and, L. Sohn,, NATO Advanced Studies Institute, Series E: Applied Science (Kluwer Academic, Dordrecht, 1997), Vol. 345 for an excellent review.
16. A. O. Gogolin, A. A. Nersesyan, and A. M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, Cambridge, England, 1998).
17. K. Moon, H. Yi, C. L. Kane, S. M. Girvin, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.4381 71, 4381 (1993).
18. A. Furusaki and N. Nagaosa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.4631 47, 4631 (1993).
19. E. Wong and I. Affleck, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90478-2 417, 403 (1994).
20. P. Fendley, A. W. W. Ludwig, and H. Saleur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3005 74, 3005 (1995);
21. P. Fendley, A. W. W. Ludwig, and H. Saleur, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.8934 52, 8934 (1995).
22. Y. Oreg and A. M. Finkel'stein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3668 74, 3668 (1995).
23. L. P. Pryadko, E. Shimshoni, and A. Auerbach, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10929 61, 10929 (2000).
24. V. M. Apalkov and M. E. Raikh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.195312 68, 195312 (2003).
25. C. L. Kane and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.13449 51, 13449 (1995).
26. D. B. Chklovskii and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.3781 57, 3781 (1998);
27. N. P. Sandler, C. C. Chamon, and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.12324 57, 12324 (1998).
28. C. C. Chamon and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.2012 56, 2012 (1997).
29. J. E. Moore, P. Sharma, and C. Chamon, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.7298 62, 7298 (2000).
30. J. E. Moore and X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.115305 66, 115305 (2002).
31. D. Giuliano and P. Sodano, Nucl. Phys. B NUPBBO 0550-3213 770, 332 (2007).
32. S. Lal, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/17003 80, 17003 (2007).
33. E. Papa and T. Stroh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.046801 97, 046801 (2006);
34. E. Papa and T. Stroh, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75. 045342 75, 045342 (2007).
35. E. Papa and A. H. MacDonald, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.126801 93, 126801 (2004);
36. E. Papa and A. H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.045324 72, 045324 (2005).
37. R. D'Agosta, R. Raimondi, and G. Vignale, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035314 68, 035314 (2003);
38. L. P. Pryadko, E. Shimshoni, and A. Auerbach, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.10929 61, 10929 (2000).
39. M. Büttiker, Y. Imry, R. Landauer, and S. Pinhas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.6207 31, 6207 (1985);
40. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, England, 1995);
41. Transport Phenomenon in Mesoscopic Systems, edited by, H. Fukuyama, and, T. Ando, (Springer Verlag, Berlin, 1992);
42. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997).
43. S. Komiyama, H. Hirai, S. Sasa, and S. Hiyamizu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.12566 40, 12566 (1989).
44. M. Büttiker, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 57.1761 57, 1761 (1986);
45. M. Büttiker, IBM J. Res. Dev. IBMJAE 0018-8646 32, 317 (1988).
46. V. V. Ponomarenko and D. V. Averin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.035314 67, 035314 (2003);
47. V. V. Ponomarenko and D. V. Averin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195316 70, 195316 (2004).
48. A. H. Castro Neto, C. deC. Chamon, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4629 79, 4629 (1997).
49. D. Yoshioka, The Quantum Hall Effect, Springer Series in Solid-State Sciences Vol. 133 (Springer, Berlin, 2002), and references therein.
50. S. Lal, S. Rao, and D. Sen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.026801 87, 026801 (2001);
51. S. Lal, S. Rao, and D. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.195304 65, 195304 (2001).
52. S. M. Girvin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.29.6012 29, 6012 (1984).
53. E. Shimshoni, S. L. Sondhi, and D. Shahar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.13730 55, 13730 (1997).
54. S. Xiong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.9928 57, 9928 (1998).
55. J. T. Chalker and P. D. Coddington, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/21/14/008 21, 2665 (1988).
56. C. L. Kane and M. P. A. Fisher, in Perspectives in Quantum Hall Effects, edited by, S. Das Sarma, and, A. Pinczuk, (Wiley, New York, 1997).
57. J. B. Miller, I. P. Radu, D. M. Zumbühl, E. M. Levenson-Falk, M. A. Kastner, C. M. Marcus, L. N. Pfeiffer, and K. W. West, Nat. Phys. ZZZZZZ 1745-2473 3, 561 (2007).
58. M. Levin, B. I. Halperin, and B. Rosenow, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236806 99, 236806 (2007);
59. S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.236807 99, 236807 (2007).
60. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.3205 66, 3205 (1991).
61. L. S. Levitov, A. V. Shytov, and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.075322 64, 075322 (2001).
62. D. H. Lee and X. G. Wen, arXiv:cond-mat/9809160 (unpublished).
63. A. Lopez and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.15323 59, 15323 (1999).
64. A. Siddiki and R. R. Gerhardts, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195335 70, 195335 (2004);
65. A. Siddiki and F. Marquardt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.045325 75, 045325 (2007).
66. C. Nayak, M. P. A. Fisher, A. W. W. Ludwig, and H. H. Lin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.15694 59, 15694 (1999).
67. S. Lal, S. Rao, and D. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.165327 66, 165327 (2002).
68. S. Chen, B. Trauzettel, and R. Egger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.226404 89, 226404 (2002).
69. C. Chamon, M. Oshikawa, and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.206403 91, 206403 (2003).
70. S. Das, S. Rao, and D. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.085318 70, 085318 (2004).
71. S. Rao and D. Sen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70. 195115 70, 195115 (2004).
72. M. Henny, S. Oberholzer, C. Strunk, T. Heinzel, K. Ensslin, M. Holland, and C. Shönenberger, Science SCIEAS 0036-8075 10.1126/science.284.5412.296 284, 296 (1999).
73. S. Oberholzer, M. Henny, C. Strunk, C. Schönenberger, T. Heinzel, K. Ensslin, and M. Holland, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(99)00162-9 6E, 314 (2000).
74. W. D. Oliver, J. Kim, R. C. Liu, and Y. Yamamoto, Science SCIEAS 0036-8075 10.1126/science.284.5412.299 284, 299 (1999).
75. Y. Ji, Y. C. Chung, D. Sprinzak, M. Heiblum, D. Mahalu, and H. Shtrikman, Nature (London) NATUAS 0028-0836 10.1038/nature01503 422, 415 (2003);
76. I. Neder, M. Heiblum, Y. Levinson, D. Mahalu, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016804 96, 016804 (2006);
77. I. Neder, M. Heiblum, D. Mahalu, and V. Umansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.036803 98, 036803 (2007);
78. L. V. Litvin, H.-P. Tranitz, W. Wegscheider, and C. Strunk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.033315 75, 033315 (2007).
79. S. C. Zhang, T. H. Hansson, and S. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.82 62, 82 (1989).