Solvable regime of disorder and interactions in ballistic nanostructures: Consequences for Coulomb blockade

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 7, 2004, Pages

  Murthy, Ganpathy ^a   Shankar, R ^b   Herman, Damir ^c   Mathur, Harsh ^c  

^a UNIVERSITY OF KENTUCKY   (United States)

^b Yale University   (United States)

^c CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; CHAOTIC DYNAMICS; COULOMETRY; ENERGY; MOLECULAR INTERACTION; NANOPARTICLE; PHASE TRANSITION; QUANTUM MECHANICS; SOLVATION;

EID: 1642353350     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.075321     Document Type: Article

References (161)

1. V.M. Pudalov, M. D’Iorio, S.V. Kravchenko and J.W. Campbell, Phys. Rev. Lett., 70, 1866 (1993).
2. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, Oxford, 1997);
3. K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
4. D.V. Averin and K.K. Likharev, in Mesoscopic Phenomena in Solids, edited by B.L. Altshuler, P.A. Lee, and R. Webb, (Elsevier, Amsterdam, 1991).
5. C.W.J. Beenakker, Phys. Rev. B, 44, 1646 (1991).
6. T. Guhr, A. Müller-Groeling and H.A. Weidenmüller, Phys. Rep., 299, 189 (1998);
7. Y. Alhassid, Rev. Mod. Phys., 72, 895 (2000);
8. A.D. Mirlin, Phys. Rep., 326, 259 (2000).
9. U. Sivan, R. Berkovits, Y. Aloni, O. Prus, A. Auerbach and G. Ben-Yoseph, Phys. Rev. Lett., 77, 1123 (1996);
10. S.R. Patel, S.M. Cronenwett, D.R. Stewart, A.G. Huibers, C.M. Marcus, C.I. Duruöz, J.S. Harris Jr., K. Campman and A.C. Gossard, Phys. Rev. Lett., 80, 4522 (1998).
11. F. Simmel, D. Abusch-Magder, D.A. Wharam, M.A. Kastner and J.P. Kotthaus, Phys. Rev. B, 59, 10 441 (1999);
12. D. Abusch-Magder, F. Simmel, D.A. Wharam, M.A. Kastner and J.P. Kotthaus, Physica E (Amsterdam), 6, 382 (2000).
13. F. Simmel, T. Heinzel and D.A. Wharam, Europhys. Lett., 38, 123 (1997);
14. J.A. Folk, S.R. Patel, K.M. Birnbaum, C.M. Marcus, C.I. Duruöz and J.S. Harris, Jr., Phys. Rev. Lett., 86, 2102 (2001);
15. S. Lüscher, T. Heinzel, K. Ensslin, W. Wegscheider and M. Bichler, Phys. Rev. Lett., 86, 2118 (2001).
16. L.P. Levy, G. Dolan, J. Dunsmuir and H. Bouchiat, Phys. Rev. Lett., 64, 2074 (1990);
17. V. Chandrasekhar, R.A. Webb, M.J. Brady, M.B. Ketchen, W.J. Gallagher and A. Kleinsasser, Phys. Rev. Lett., 67, 3578 (1991);
18. D. Mailly, C. Chapelier and A. Benoit, Phys. Rev. Lett., 70, 2020 (1993);
19. Bertrand Reulet, Michel Ramin, Helene Bouchiat and Dominique Mailly, Phys. Rev. Lett., 75, 124 (1995);
20. E.M.Q. Jariwala, P. Mohanty, M.B. Ketchen and R.A. Webb, Phys. Rev. Lett., 86, 1594 (2001);
21. R. Deblock, Y. Noat, B. Reulet, H. Bouchiat and D. Mailly, Phys. Rev. B, 65, 075301 (2002);
22. R. Deblock, R. Bel, B. Reulet, H. Bouchiat and D. Mailly, Phys. Rev. Lett., 89, 206803 (2002).
23. G. Murthy and H. Mathur, Phys. Rev. Lett., 89, 126804 (2002).
24. G. Murthy and R. Shankar, Phys. Rev. Lett., 90, 066801 (2003).
25. D. Herman, H. Mathur, G. Murthy, and R. Shankar (unpublished).
26. D. Herman, H. Mathur and G. Murthy, Phys. Rev. B, 69, 041301 (2004).
27. O. Bohigas, M.J. Giannoni and C. Schmit, Phys. Rev. Lett., 52, 1 (1984).
28. M.L. Mehta, Random Matrices (Academic Press, San Diego, 1991).
29. K.B. Efetov, Adv. Phys., 32, 53 (1983);
30. B.L. Al’tshuler and B.I. Shklovskii, Sov. Phys. JETP, 64, 127 (1986).
31. V.R. Kogan and K.B. Efetov, Phys. Rev. B, 67, 245312 (2003).
32. R. Berkovits, Phys. Rev. Lett., 81, 2128 (1998).
33. A. Cohen, K. Richter and R. Berkovits, Phys. Rev. B, 60, 2536 (1999);
34. P.N. Walker, G. Montambaux and Y. Gefen, Phys. Rev. B, 60, 2541 (1999);
35. S. Levit and D. Orgad, Phys. Rev. B, 60, 5549 (1999);
36. D. Ullmo and H.U. Baranger, Phys. Rev. B, 64, 245324 (2001);
37. V. Belinicher, E. Ginossar and S. Levit, cond-mat/0109005 (unpublished);
38. Y. Alhassid and S. Malhotra, Phys. Rev. B, 66, 245313 (2002).
39. J.B. French and S.S.M. Wong, Phys. Lett., 33B, 447 (1970);
40. O. Bohigas and J. Flores, Phys. Lett., 34B, 261 (1971);
41. Ph. Jacquod and A.D. Stone, Phys. Rev. Lett., 84, 3938 (2000);
42. Ph. Jacquod, A.D. Stone, Phys. Rev. B, 64, 214416 (2001);
43. Y. Alhassid, Ph. Jacquod and A. Wobst, Phys. Rev. B, 61, 13 357 (2000);
44. Y. Alhassid, Ph. Jacquod, A. Wobst, Physica E (Amsterdam), 9, 393 (2001);
45. Y. Alhassid and A. Wobst, Phys. Rev. B, 65, 041304 (2002).
46. A.V. Andreev and A. Kamenev, Phys. Rev. Lett., 81, 3199 (1998);
47. P.W. Brouwer, Y. Oreg and B.I. Halperin, Phys. Rev. B, 60, R13 977 (1999);
48. H.U. Baranger, D. Ullmo and L.I. Glazman, Phys. Rev. B, 61, R2425 (2000);
49. I.L. Kurland, I.L. Aleiner and B.L. Al’tshuler, Phys. Rev. B, 62, 14 886 (2000).
50. I.L. Aleiner, P.W. Brouwer and L.I. Glazman, Phys. Rep., 358, 309 (2002)
51. Y. Oreg, P.W. Brouwer, X. Waintal and B.I. Halperin, cond-mat/0109541 (unpublished).
52. G. Usaj and H.U. Baranger, Phys. Rev. B, 64, 201319 (2001);
53. G. Usaj, H.U. Baranger, Phys. Rev. B, 66, 155333 (2002).
54. G. Usaj and H.U. Baranger, Phys. Rev. B, 67, 121308 (2003).
55. Y. Alhassid, T. Rupp, A. Kaminski and L.I. Glazman, cond-mat/0212072 (unpublished);
56. Y. Alhassid and T. Rupp, Phys. Rev. Lett., 91, 056801 (2003).
57. L.D. Landau, Zh. Eksp. Teor. Fiz. 30, 1058 (1956)
58. L.D. Landau, Sov. Phys. JETP, 3, 920 (1956)
59. L.D. Landau, Sov. Phys. JETP, 32, 59 (1957)
60. L.D. Landau, Sov. Phys. JETP, 5, 101 (1957).
61. A.A. Abrikosov, L.P. Gorkov, and I.E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
62. I.I. Pomeranchuk, Zh. Eksp. Teor. Fiz. 35, 524 (1958)
63. I.I. Pomeranchuk, Sov. Phys. JETP, 8, 361 (1958).
64. R. Shankar, Physica A, 177, 530 (1991);
65. R. Shankar, Rev. Mod. Phys., 66, 129 (1994).
66. B.L. Altshuler and A.G. Aronov, Zh. Eksp. Teor. Fiz. 77, 2028 (1979)
67. B.L. Altshuler and A.G. Aronov, Sov. Phys. JETP, 50, 968 (1979)
68. B.L. Altshuler, A.G. Aronov and P.A. Lee, Phys. Rev. Lett., 44, 1288 (1980)
69. E. Abrahams, P.W. Anderson, P.A. Lee and T.V. Ramakrishnan, Phys. Rev. B, 24, 6783 (1981).
70. T. Tokuyasu, M. Kamal and G. Murthy, Phys. Rev. Lett., 71, 4202 (1993)
71. N. Berdenis and G. Murthy, Phys. Rev. B, 52, 3083 (1995);
72. G. Murthy and S. Kais, Chem. Phys. Lett., 290, 199 (1998).
73. S. Chakravarty, B.I. Halperin and D.R. Nelson, Phys. Rev. Lett., 60, 1057 (1988);
74. S. Chakravarty, B.I. Halperin, D.R. Nelson, Phys. Rev. B, 39, 2344 (1989).
75. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
76. V. Ambegaokar and U. Eckern, Phys. Rev. Lett., 65, 381 (1990);
77. V. Ambegaokar, U. Eckern, Phys. Rev. Lett., 67, 3192 (1991);
78. V. Ambegaokar, U. Eckern, Europhys. Lett., 13, 733 (1990);
79. U. Eckern and A. Schmid, Europhys. Lett., 18, 457 (1992).
80. U. Eckern and P. Schwab, J. Low Temp. Phys., 126, 1291 (2002).
81. A.O. Caldeira and A.J. Leggett, Phys. Rev. Lett., 46, 211 (1981).
82. S. Chakravarty, Phys. Rev. Lett., 49, 681 (1982).
83. A.J. Bray and M.A. Moore, Phys. Rev. Lett., 49, 1545 (1982).
84. B.L. Al’tshuler, Y. Gefen, A. Kamenev and L.S. Levitov, Phys. Rev. Lett., 78, 2803 (1997).
85. B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett., 79, 4365 (1997);
86. A.D. Mirlin and Y.V. Fyodorov, Phys. Rev. B, 56, 13 393 (1997);
87. P.G. Silvestrov, Phys. Rev. Lett., 79, 3994 (1997);
88. V.V. Flambaum and F.M. Izrailev, Phys. Rev. E, 56, 5144 (1997);
89. C. Mejia-Monasterio, J. Richert, T. Rupp and H.A. Weidenmüller, Phys. Rev. Lett., 81, 5189 (1998);
90. X. Leyronas, J. Tworzydlo and C.W.J. Beenakker, Phys. Rev. Lett., 82, 4894 (1999);
91. V.V. Flambaum and F.M. Izrailev, Phys. Rev. E, 61, 2539 (2000).
92. D. Pines and P. Nozieres, The Theory of Quantum Liquids (Addison-Wesley, Reading, MA, 1989).
93. Y. Kwon, D.M. Ceperley and R.M. Martin, Phys. Rev. B, 50, 1684 (1994).
94. C.M. Varma, Phys. Rev. Lett., 83, 3538 (1999).
95. V. Oganesyan, S.A. Kivelson and E. Fradkin, Phys. Rev. B, 64, 195109 (2001).
96. A.M. Finkel’shtein, Zh. Eksp. Teor. Fiz. 84, 168 (1983)
97. A.M. Finkel’shtein, Sov. Phys. JETP, 57, 97 (1983)
98. C. Castellani, C. Di Castro, P.A. Lee and M. Ma, Phys. Rev. B, 30, 527 (1984).
99. D. Belitz and T.R. Kirkpatrick, Rev. Mod. Phys., 66, 261 (1994).
100. T.R. Kirkpatrick and D. Belitz, Phys. Rev. B, 53, 14 364 (1996);
101. C. de C. Chamon and E. Mucciolo, Phys. Rev. Lett., 85, 5607 (2000);
102. C. Nayak and X. Yang, Phys. Rev. B, 68, 104433 (2003).
103. M.V. Berry, J. Phys. A, 10, 2083 (1977).
104. S. Adam, P.W. Brouwer and P. Sharma, Phys. Rev. B, 68, 241311 (2003).
105. D.J. Gross and A. Neveu, Phys. Rev. D, 10, 3235 (1974).
106. N.D. Mermin and H. Wagner, Phys. Rev. Lett., 17, 1133 (1966);
107. P.C. Hohenberg, Phys. Rev., 158, 383 (1967).
108. R.A. Jalabert, A.D. Stone and Y. Alhassid, Phys. Rev. Lett., 68, 3468 (1992).
109. A.M. Chang, H.U. Baranger, L.N. Pfeiffer, K.W. West and T.Y. Chang, Phys. Rev. Lett., 76, 1695 (1996);
110. J.A. Folk, S.R. Patel, S.F. Godijn, A.G. Huibers, S.M. Cronenwett, C.M. Marcus, K. Compman and A.C. Gossard, Phys. Rev. Lett., 76, 1699 (1996).
111. S.R. Patel, D.R. Stewart, C.M. Marcus, M. Gokcedag, Y. Alhassid, A.D. Stone, C.I. Duruoz and J.S. Harris, Phys. Rev. Lett., 81, 5900 (1998).
112. A. Szafer and B.L. Altshuler, Phys. Rev. Lett., 70, 587 (1993);
113. B.D. Simons and B.L. Altshuler, Phys. Rev. B, 48, 5422 (1993).
114. R.O. Vallejos, C.H. Lewenkopf and Y. Gefen, Phys. Rev. B, 65, 085309 (2002).
115. N.C. Byers and C.N. Yang, Phys. Rev. Lett., 7, 46 (1961);
116. F. Bloch, Phys. Rev. B, 2, 109 (1970);
117. M. Buttiker, Y. Imry and R. Landauer, Phys. Lett., 96A, 365 (1983);
118. H.-F. Cheung, E.K. Riedel and Y. Gefen, Phys. Rev. Lett., 62, 587 (1989);
119. A. Schmid, Phys. Rev. Lett., 66, 80 (1991);
120. F. von Oppen and E.K. Riedel, Phys. Rev. Lett., 66, 84 (1991);
121. B.L. Al’tshuler, Y. Gefen and Y. Imry, Phys. Rev. Lett., 66, 88 (1991).
122. H. Bouchiat and G. Montambaux, J. Phys. (France), 50, 2695 (1989);
123. G. Montambaux, H. Bouchiat, D. Sigeti and R. Friesner, Phys. Rev. B, 42, 7647 (1990);
124. M. Abraham and R. Berkovits, Phys. Rev. Lett., 70, 1509 (1993);
125. G. Bouzerar, D. Poilblanc and G. Montambaux, Phys. Rev. B, 49, 8258 (1994);
126. H. Kato and D. Yoshioka, Phys. Rev. B, 50, 4943 (1994);
127. T. Giamarchi and B.S. Shastry, Phys. Rev. B, 51, 10 915 (1995);
128. P. Schmitteckert, R.A. Jalabert, D. Weinmann and J.-L. Pichard, Phys. Rev. Lett., 81, 2308 (1998);
129. R. Berkovits and Y. Avishai, Phys. Rev. B, 57, R15 076 (1998).
130. V.E. Kravtsov and B.L. Altshuler, Phys. Rev. Lett., 84, 3394 (2000).
131. M. Schechter, Y. Oreg, Y. Imry and Y. Levinson, Phys. Rev. Lett., 90, 026805 (2003).
132. P.W. Anderson, G. Yuval and D.R. Hamann, Phys. Rev. B, 1, 4464 (1976).
133. A.C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, UK, 1993).
134. V. Ambegaokar, U. Eckern and G. Schön, Phys. Rev. Lett., 48, 1745 (1982).
135. L.I. Glazman and K.A. Matveev, Sov. Phys. JETP, 71, 1031 (1990);
136. K.A. Matveev, Sov. Phys. JETP, 72, 892 (1991).
137. D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav and M.A. Kastner, Nature (London), 391, 156 (1998)
138. S.M. Cronenwett, T.H. Osterkamp and L.P. Kouwenhoven, Science, 281, 540 (1998).
139. E.B. Kolomeisky, R.M. Konik and X. Qi, Phys. Rev. B, 66, 075318 (2002).
140. U. Sivan, F.P. Milliken, K. Milkove, S. Rishton, Y. Lee, J.M. Hong, V. Boegli, D. Kern and M. DeFranza, Europhys. Lett., 25, 605 (1994);
141. U. Sivan, Y. Imry and A.G. Aronov, Europhys. Lett., 28, 115 (1994);
142. D.R. Stewart, D. Sprinzak, C.M. Marcus, C.I. Duruoz and J.S. Harris, Jr., Science, 278, 1784 (1997).
143. R. Berkovits and Y. Avishai, Phys. Rev. Lett., 80, 568 (1998).
144. P.N. Walker, Y. Gefen and G. Montambaux, Phys. Rev. Lett., 82, 5329 (1999);
145. K.-H. Ahn, K. Richter and I.-H. Lee, Phys. Rev. Lett., 83, 4144 (1999).
146. A.A. Koulakov, F.G. Pikus and B.I. Shklovskii, Phys. Rev. B, 55, 9223 (1997);
147. A.A. Koulakov and B.I. Shklovskii, Phys. Rev. B, 57, 2352 (1998);
148. A.A. Koulakov, B.I. Shklovskii, Philos. Mag. B, 77, 1235 (1998).
149. T. Rupp, Y. Alhassid and S. Malhotra, Phys. Rev. B, 65, 193304 (2002).
150. Y. Alhassid and A. Wobst, Phys. Rev. B, 65, 041304 (2002).
151. K. Held, E. Eisenberg and B.L. Altshuler, Phys. Rev. B, 66, 033308 (2002).
152. Y. Meir and N.S. Wingreen, Phys. Rev. Lett., 68, 2512 (1992).
153. M.A. Kastner (private communication).
154. H.U. Baranger and D. Ullmo (private communication).
155. W.B. Thimm, J. Kroha and J. von Delft, Phys. Rev. Lett., 82, 2143 (1999);
156. I. Affleck and P. Simon, Phys. Rev. Lett., 86, 2854 (2001);
157. P. Simon and I. Affleck, Phys. Rev. B, 64, 085308 (2001);
158. P. Simon, I. Affleck, Phys. Rev. Lett., 89, 206602 (2002);
159. P.S. Cornaglia and C.A. Balseiro, Phys. Rev. B, 66, 115303 (2002).
160. T. Senthil, M.P.A. Fisher, L. Balents and C. Nayak, Phys. Rev. Lett., 81, 4704 (1998).
161. M.R. Zirnbauer, J. Math. Phys., 37, 4986 (1996).