Addition spectrum, persistent current, and spin polarization in coupled quantum dot arrays: Coherence, correlation, and disorder

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 7, 1998, Pages 3989-4013

  Kotlyar, R ^a   Stafford, C ^a   Das Sarma, S ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000108846     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.3989     Document Type: Article

References (82)

1. L. P. Kouwenhoven, F. W. J. Hekking, B. J. van Wees, C. J. P. M. Harmans, C. E. Timmering, and C. T. Foxon, Phys. Rev. Lett. 65, 361 (1990).
2. D. Dixon, L. P. Kouwenhoven, P. L. McEuen, Y. Nagamune, J. Motohisa, and H. Sakaki, Phys. Rev. B 53, 12 625 (1996).
3. Phys. Rev. BR. H. Blick, R. J. Haug, J. Weis, D. Pfannkuche, K. v. Klitzing, and K. Eberl, 53, 7899 (1996).
4. F. R. Waugh, M. J. Berry, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Phys. Rev. Lett. 75, 705 (1995).
5. F. R. Waugh, M. J. Berry, C. H. Crouch, C. Livermore, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Phys. Rev. B 53, 1413 (1996).
6. C. H. Crouch, C. Livermore, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Surf. Sci. 361/362, 631 (1996); C. H. Crouch, Ph.D. thesis (Harvard University, Cambridge, MA 1996).
7. C. Livermore, C. H. Crouch, R. M. Westervelt, K. L. Campman, and A. C. Gossard, Superlattices Microstructures 20, 633 (1996).
8. O. Klein, C. de C. Chamon, D. Tang, D. M. Abusch-Magder, U. Meirav, X.-G. Wen, M. A. Kastner, and S. J. Wind, Phys. Rev. Lett. 74, 785 (1995).
9. Phys. Rev. Lett.N. C. van der Vaart, S. F. Godijn, Y. V. Nazarov, C. J. P. M. Harmans, J. E. Mooij, L. W. Molenkamp, and C. T. Foxon, 74, 4702 (1995).
10. F. Hofmann, T. Heinzel, D. A. Wharam, J. P. Kotthaus, G. Böhm, W. Klein, G. Tränkle, and G. Weimann, Phys. Rev. B 51, 13 872 (1995).
11. A. Yacoby, M. Heiblum, D. Mahalu, and H. Shtrikman, Phys. Rev. Lett. 74, 4047 (1995).
12. C. Livermore and C. H. Crouch (private communication).
13. R. C. Ashoori, H. L. Stormer, J. S. Weiner, L. N. Pfeiffer, S. J. Pearton, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. 68, 3088 (1992).
14. Phys. Rev. Lett.R. C. AshooriH. L. StormerJ. S. WeinerL. N. PfeifferS. J. PeartonK. W. BaldwinK. W. West71, 613 (1993).
15. L. P. Levy, G. Dolan, J. Dunsmuir, and H. Bouchiat, Phys. Rev. Lett. 64, 2074 (1990).
16. Phys. Rev. Lett.V. Chandrasekhar, R. A. Webb, M. J. Brady, M. B. Ketchen, W. J. Gallagher, and A. Kleinsasser, 67, 3578 (1991).
17. Phys. Rev. Lett.D. Mailly, C. Chapelier, and A. Benoit, 70, 2020 (1993).
18. Phys. Rev. Lett.B. Reulet, M. Ramin, H. Bouchiat, and D. Mailly, 75, 127 (1995).
19. K.-M. H. Lenssen, M. E. J. Boonman, C. J. P. M. Harmans, and C. T. Foxon, Phys. Rev. Lett. 74, 454 (1995).
20. G. Kirczenow, Phys. Rev. B 46, 1439 (1992).
21. P. Delsing, J. E. Mooij, and G. Shon, in Single Charge Tunneling, edited by H. Grabert and M. Devoret (Plenum, New York, 1992).
22. A. A. Middleton and N. S. Wingreen, Phys. Rev. Lett. 71, 3198 (1993).
23. C. A. Stafford and S. Das Sarma, Phys. Rev. Lett. 72, 3590 (1994).
24. C. A. StaffordS. Das SarmaPhys. Lett. A 230, 73 (1997).
25. G. Klimeck, G. Chen, and S. Datta, Phys. Rev. B 50, 2316 (1994).
26. Phys. Rev. BG. Chen, G. Klimeck, S. Datta, G. Chen, and W. A. Goddard III, 50, 8035 (1994).
27. R. Kotlyar and S. Das Sarma, Phys. Rev. B 55, R10 205 (1997).
28. V. Fock, Z. Phys. 47, 446 (1928).
29. Y. Imry, in Directions in Condensed Matter Physics, edited by G. Grinstein and G. Mazenko (World Scientific, Singapore, 1986), p. 101;
30. S. Washburn and R. A. Webb, Adv. Phys. 35, 375 (1986).
31. Ho-Fai Cheung, E. K. Riedel, and Y. Gefen, Phys. Rev. Lett. 62, 587 (1989).
32. Ho-Fai Cheung, Y. Gefen, E. K. Riedel, and W. H. Shih, Phys. Rev. B 37, 6050 (1988).
33. B. S. Shastry and Bill Sutherland, Phys. Rev. Lett. 65, 243 (1990).
34. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990).
35. A. Müller-Groeling and H. A. Weidenmüller, Phys. Rev. B 49, 4752 (1994).
36. Phys. Rev. BT. Giamarchi and B. S. Shastry, 51, 10 915 (1995).
37. M. Kamal, Z. H. Musslimani, and Assa Auerbach, J. Phys. I 5, 1487 (1995).
38. M. Ramin, B. Reulet, and Helene Bouchiat, Phys. Rev. B 51, 5582 (1995).
39. M. Abraham and R. Berkovits, Phys. Rev. Lett. 70, 1509 (1993).
40. Phys. Rev. Lett.G. Bouzerar, D. Poilblanc, and G. Montambaux, 49, 8258 (1994).
41. Phys. Rev. Lett.T. Chakraborty and P. Pietiläinen, 52, 1932 (1995).
42. Phys. Rev. Lett.W. Deng, Y. Liu, and C. Gong, 50, 7655 (1994).
43. M. Büttiker and C. A. Stafford, Phys. Rev. Lett. 76, 495 (1996).
44. T. Chakraborty and P. Pietiläinen, Phys. Rev. B 50, 8460 (1994).
45. G. S. Jeon and M. Y. Choi, J. Phys.: Condens. Matter 8, 4429 (1996).
46. G. Bouzerar and D. Poilblanc, J. Phys. I 7, 877 (1997).
47. C. A. Stafford and D. F. Wang, Phys. Rev. B 56, R4383 (1997).
48. C. A. StaffordD. F. WangZ. Phys. B 103, 323 (1997).
49. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
50. A. Kumar, S. E. Laux, and F. Stern, Phys. Rev. B 42, 5166 (1990).
51. R. E. Peierls, Z. Phys. 80, 763 (1933).
52. F. London J. Phys. Radium 8, 347 (1937).
53. N. Byers and C. N. Yang, Phys. Rev. Lett. 7, 46 (1961).
54. F. Bloch, Phys. Rev. 137, A787 (1965).
55. M. Buttiker, Y. Imry, and R. Landauer, Phys. Lett. 96A, 365 (1983).
56. B. L. Altshuler, Y. Gefen, and Y. Imry, Phys. Rev. Lett. 66, 88 (1991).
57. C. W. J. Beenakker, H. van Houten, and A. A. M. Staring, Phys. Rev. B 44, 1657 (1991).
58. G. D. Mahan, Many-Particle Physics, 2nd ed. (Plenum Press, New York, 1990).
59. Douglas R. Hofstadter, Phys. Rev. B 14, 2239 (1976)
60. U. Sivan and Y. Imry, Phys. Rev. Lett. 61, 1001 (1988).
61. U. Sivan, Y. Imry, and C. Hartzstein, Phys. Rev. B 39, 1242 (1989).
62. P. B. Wiegmann and A. V. Zabrodin, Phys. Rev. Lett. 72, 1890 (1994); P. B. Wiegmann and A. V. Zabrodin, in Quantum Field Theory and String Theory, Vol. 328 of NATO Advanced Study Institute Series B: Physics, edited by Laurent Baulieu (Plenum, New York, 1995), p. 399;
63. L. D. Fadeev and R. M. Kashaev, Commun. Math. Phys. 169, 181 (1995).
64. J. W. Leech and D. J. Newman, in How to Use Groups (Methuen, London, 1969), pp. 29-34.
65. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
66. H. J. Schulz, in Correlated Electron Systems, edited by V. J. Emery (World Scientific, Singapore, 1993).
67. N. Yu and M. Fowler, Phys. Rev. B 45, 11 795 (1992).
68. J. Carmelo, P. Horsch, P. A. Bares, and A. A. Ovchinnikov, Phys. Rev. B 44, 9967 (1991).
69. Phys. Rev. BHolger Frahm and V. E. Korepin, 43, 5653 (1991).
70. W. Kohn, Phys. Rev. 133, A171 (1964).
71. P. F. Maldague, Phys. Rev. B 16, 2437 (1977).
72. Phys. Rev. BC. A. Stafford and A. J. Millis, 48, 1409 (1993).
73. D. J. Scalapino, S. R. White, and S. Zhang, Phys. Rev. B 47, 7995 (1993).
74. F. Gebhard, in The Mott Metal-Insulator Transition, Springer Tracts in Modern Physics Vol. 137 (Springer-Verlag, Berlin, 1997).
75. C. A. Stafford, A. J. Millis, and B. S. Shastry, Phys. Rev. B 43, 13 660 (1991).
76. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc, and J. Riera, Phys. Rev. B 45, 10 741 (1992).
77. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).
78. J. E. Hirsch, Phys. Rev. Lett. 53, 2327 (1984).
79. Q. Wang, Z. D. Wang, and J.-X. Zhu, Phys. Rev. B 54, 8108 (1996).
80. B. Chattopadhyay and D. M. Gaitonde, Phys. Rev. B 55, 15 364 (1997).
81. Phys. Rev. BB. ChattopadhyayD. M. Gaitonde58, 1689(E) (1998).
82. D. Belitz and T. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994), and references therein.