Tilt-induced localization and delocalization in the second Landau level

Physical Review Letters

Volumn 94, Issue 14, 2005, Pages

  Csathy G A ^a   Xia, J S ^b,c   Vicente, C L ^b,c   Adams, E D ^b,c   Sullivan, N S ^b,c   Stormer, H L ^d,e   Tsui, D C ^a   Pfeiffer, L N ^e   West, K W ^e  

^a Princeton University   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c FLORIDA STATE UNIVERSITY   (United States)

^d Och Spine at New York Presbyterian Hospitals   (United States)

^e LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE PHASES; CHARGE DENSITY WAVES (CDW); FRACTIONAL QUANTUM HALL LIQUIDS (FQHL); LANDAU LEVELS;

ANTIFERROMAGNETISM; DENSITY (SPECIFIC GRAVITY); ELECTRIC CHARGE; ELECTROMAGNETIC WAVES; ERROR ANALYSIS; MAGNETIC FIELDS; QUANTUM THEORY;

ELECTRIC PROPERTIES;

EID: 18244373215     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.146801     Document Type: Article

References (47)

1. See Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (John Wiley & Sons, New York, 1997).
2. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
3. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989).
4. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
5. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
6. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
7. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
8. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
9. R.L. Willett et al., Phys. Rev. B 38, R7881 (1988); H.W. Jiang et al., Phys. Rev. Lett. 65, 633 (1990); D.C. Glattli et al., Surf. Sci. 229, 344 (1990); F.I.B. Williams et al., Phys. Rev. Lett. 66, 3285 (1991); M. A. Paalanen et al., Phys. Rev. B 45, 11 342 (1992); L.W. Engel et al., Solid State Commun. 104, 167 (1997).
10. Y. P. Chen, R. M. Lewis, L. W. Engel, D. C. Tsui, P. D. Ye, Z.H. Wang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 93, 206805 (2004).
11. Y. Chen et al., Phys. Rev. Lett. 91, 016801 (2003); R. M. Lewis et al., Physica (Amsterdam) 22E, 104 (2004).
12. Y. Chen et al., Phys. Rev. Lett. 91, 016801 (2003); R. M. Lewis et al., Physica (Amsterdam) 22E, 104 (2004).
13. M. P. Lilly, K. B. Cooper, J.P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 82, 394 (1999); R. R. Du et al., Solid State Commun. 109, 389 (1999); R. M. Lewis et al., Phys. Rev. Lett. 89, 136804 (2002).
14. M. P. Lilly, K. B. Cooper, J.P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 82, 394 (1999); R. R. Du et al., Solid State Commun. 109, 389 (1999); R. M. Lewis et al., Phys. Rev. Lett. 89, 136804 (2002).
15. M. P. Lilly, K. B. Cooper, J.P. Eisenstein, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 82, 394 (1999); R. R. Du et al., Solid State Commun. 109, 389 (1999); R. M. Lewis et al., Phys. Rev. Lett. 89, 136804 (2002).
16. E. Wigner, Phys. Rev. 46, 1002 (1934).
17. J.R Eisenstein, K.B. Cooper, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 88, 076801 (2002).
18. J.S. Xia et al., Phys. Rev. Lett. 93, 176809 (2004).
19. W. Pan et al., Phys. Rev. Lett. 83, 3530 (1999).
20. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
21. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
22. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
23. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
24. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
25. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
26. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
27. M. Greiter, X. G. Wen, and F. Wilczek, Phys. Rev. Lett. 66, 3205 (1991); G. Moore and N. Read, Nucl. Phys. B360, 362 (1991); K. Park, V. Melik-Alaverdian, N.E. Bonesteel, and J.K. Jain, Phys. Rev. B 58, R10167 (1998); R. H. Morf, Phys. Rev. Lett. 80, 1505 (1998); N.E. Bonesteel, Phys. Rev. Lett. 82, 984 (1999); E. Fradkin, C. Nayak, and K. Schoutens, Nucl. Phys. B546, 711 (1999); E.H. Rezayi and F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000); V.W. Scarola, K. Park, and J. K. Jain, Nature (London) 406, 863 (2000).
28. J.P. Eisenstein et al., Phys. Rev. Lett. 61, 997 (1988); W. Pan et al., Solid State Commun. 119, 641 (2001).
29. J.P. Eisenstein et al., Phys. Rev. Lett. 61, 997 (1988); W. Pan et al., Solid State Commun. 119, 641 (2001).
30. M. O. Goerbig, P. Lederer, and C. M. Smith, Phys. Rev. B 68, 241302(R) (2003).
31. J.S. Xia, E.D. Adams, N.S. Sullivan, W. Pan, H.L. Stormer, and D.C. Tsui, Int. J. Mod. Phys. B 16, 2986 (2002).
32. R. G. Clark et al., Phys. Rev. Lett. 62, 1536 (1989); J.P. Eisenstein, H.L. Stormer, L. Pfeiffer, and K.W. West, Phys. Rev. Lett. 62, 1540 (1989); R. R. Du, A. S. Yeh, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 75, 3926 (1995).
33. R. G. Clark et al., Phys. Rev. Lett. 62, 1536 (1989); J.P. Eisenstein, H.L. Stormer, L. Pfeiffer, and K.W. West, Phys. Rev. Lett. 62, 1540 (1989); R. R. Du, A. S. Yeh, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 75, 3926 (1995).
34. R. G. Clark et al., Phys. Rev. Lett. 62, 1536 (1989); J.P. Eisenstein, H.L. Stormer, L. Pfeiffer, and K.W. West, Phys. Rev. Lett. 62, 1540 (1989); R. R. Du, A. S. Yeh, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 75, 3926 (1995).
35. J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer, and K.W. West, Phys. Rev. B 41, R7910 (1990); L. W. Engel, S. W. Hwang, T. Sajoto, D.C. Tsui, and M. Shayegan, Phys. Rev. B 45, 3418 (1992); I.V. Kukushkin, K.v. Klitzing, and K. Eberl, Phys. Rev. Lett. 82, 3665 (1999).
36. J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer, and K.W. West, Phys. Rev. B 41, R7910 (1990); L. W. Engel, S. W. Hwang, T. Sajoto, D.C. Tsui, and M. Shayegan, Phys. Rev. B 45, 3418 (1992); I.V. Kukushkin, K.v. Klitzing, and K. Eberl, Phys. Rev. Lett. 82, 3665 (1999).
37. J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer, and K.W. West, Phys. Rev. B 41, R7910 (1990); L. W. Engel, S. W. Hwang, T. Sajoto, D.C. Tsui, and M. Shayegan, Phys. Rev. B 45, 3418 (1992); I.V. Kukushkin, K.v. Klitzing, and K. Eberl, Phys. Rev. Lett. 82, 3665 (1999).
38. N. Freytag et al., Phys. Rev. Lett. 87, 136801 (2001).
39. W. Pan, G. A. Csáthy, D. C. Tsui, L. N. Pfeiffer, and K. W West, Phys. Rev. B 71, 035302 (2005).
40. M. Roger, Phys. Rev. B 30, 6432 (1984); X. Zhu and S. G. Louie, Phys. Rev. B 52, 5863 (1995); V. V. Flambaum, I. V. Ponomarev, and O.P. Sushkov, Phys. Rev. B 59, 4163 (1999); B. Bernu, Ladir Cândido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
41. M. Roger, Phys. Rev. B 30, 6432 (1984); X. Zhu and S. G. Louie, Phys. Rev. B 52, 5863 (1995); V. V. Flambaum, I. V. Ponomarev, and O.P. Sushkov, Phys. Rev. B 59, 4163 (1999); B. Bernu, Ladir Cândido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
42. M. Roger, Phys. Rev. B 30, 6432 (1984); X. Zhu and S. G. Louie, Phys. Rev. B 52, 5863 (1995); V. V. Flambaum, I. V. Ponomarev, and O.P. Sushkov, Phys. Rev. B 59, 4163 (1999); B. Bernu, Ladir Cândido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
43. M. Roger, Phys. Rev. B 30, 6432 (1984); X. Zhu and S. G. Louie, Phys. Rev. B 52, 5863 (1995); V. V. Flambaum, I. V. Ponomarev, and O.P. Sushkov, Phys. Rev. B 59, 4163 (1999); B. Bernu, Ladir Cândido, and D.M. Ceperley, Phys. Rev. Lett. 86, 870 (2001).
44. H. Godfrin, R.E. Rapp, and H.J. Lauter, Physica (Amsterdam) 169B, 177 (1991); C.P. Lusher, J. Saunders, and B. P. Cowan, Europhys. Lett. 14, 809 (1991); M. Siqueira, J. Nyéki, B. Cowan, and J. Saunders, Phys. Rev. Lett. 78, 2600 (1997).
45. H. Godfrin, R.E. Rapp, and H.J. Lauter, Physica (Amsterdam) 169B, 177 (1991); C.P. Lusher, J. Saunders, and B. P. Cowan, Europhys. Lett. 14, 809 (1991); M. Siqueira, J. Nyéki, B. Cowan, and J. Saunders, Phys. Rev. Lett. 78, 2600 (1997).
46. H. Godfrin, R.E. Rapp, and H.J. Lauter, Physica (Amsterdam) 169B, 177 (1991); C.P. Lusher, J. Saunders, and B. P. Cowan, Europhys. Lett. 14, 809 (1991); M. Siqueira, J. Nyéki, B. Cowan, and J. Saunders, Phys. Rev. Lett. 78, 2600 (1997).
47. R. M. Lewis et al., Phys. Rev. B 71, 081301 (2005).