Random-matrix and quantum-critical crossovers for interacting electrons in quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 15, 2004, Pages

  Murthy, Ganpathy ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ENERGY; MATHEMATICAL ANALYSIS; PHASE TRANSITION; PHYSICS; QUANTUM MECHANICS;

EID: 42749101751     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.153304     Document Type: Article

References (41)

1. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997); K. B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
2. Y. Imry, Introduction to Mesoscopic Physics (Oxford University Press, New York, 1997); K. B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
3. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998); Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000); A. D. Mirlin, Phys. Rep. 326, 259 (2000).
4. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998); Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000); A. D. Mirlin, Phys. Rep. 326, 259 (2000).
5. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998); Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000); A. D. Mirlin, Phys. Rep. 326, 259 (2000).
6. M. L. Mehta, Random Matrices (Academic Press, San Diego, 1991).
7. M. R. Zirnbauer, J. Math. Phys. 37, 4986 (1996).
8. I. L. Aleiner and V. I. Fal'ko, Phys. Rev. Lett. 87, 256801 (2001); 89, 079902(E) (2002).
9. I. L. Aleiner and V. I. Fal'ko, Phys. Rev. Lett. 87, 256801 (2001); 89, 079902(E) (2002).
10. A. V. Andreev and A. Kamenev, Phys. Rev. Lett. 81, 3199 (1998); P. W. Brouwer, Y. Oreg, and B. I. Halperm, Phys. Rev. B 60, R13977 (1999); H. U. Baranger, D. Ullmo, and L. I. Glazman, ibid. 61, R2425 (2000); I. L. Kurland, I. L. Aleiner, and B. L. Al'tshuler, ibid. 62, 14 886 (2000).
11. A. V. Andreev and A. Kamenev, Phys. Rev. Lett. 81, 3199 (1998); P. W. Brouwer, Y. Oreg, and B. I. Halperm, Phys. Rev. B 60, R13977 (1999); H. U. Baranger, D. Ullmo, and L. I. Glazman, ibid. 61, R2425 (2000); I. L. Kurland, I. L. Aleiner, and B. L. Al'tshuler, ibid. 62, 14 886 (2000).
12. A. V. Andreev and A. Kamenev, Phys. Rev. Lett. 81, 3199 (1998); P. W. Brouwer, Y. Oreg, and B. I. Halperm, Phys. Rev. B 60, R13977 (1999); H. U. Baranger, D. Ullmo, and L. I. Glazman, ibid. 61, R2425 (2000); I. L. Kurland, I. L. Aleiner, and B. L. Al'tshuler, ibid. 62, 14 886 (2000).
13. A. V. Andreev and A. Kamenev, Phys. Rev. Lett. 81, 3199 (1998); P. W. Brouwer, Y. Oreg, and B. I. Halperm, Phys. Rev. B 60, R13977 (1999); H. U. Baranger, D. Ullmo, and L. I. Glazman, ibid. 61, R2425 (2000); I. L. Kurland, I. L. Aleiner, and B. L. Al'tshuler, ibid. 62, 14 886 (2000).
14. I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Phys. Rep. 358, 309 (2002), and references therein;
15. Y. Oreg, P. W. Brouwer, X. Waintal, and B. I. Halperin, e-print cond-mat/0109541, and references therein.
16. R. Shankar, Physica A 177, 530 (1991); Rev. Mod. Phys. 66, 129 (1994).
17. R. Shankar, Physica A 177, 530 (1991); Rev. Mod. Phys. 66, 129 (1994).
18. G. Murthy and H. Mathur, Phys. Rev. Lett. 89, 126804 (2002).
19. G. Murthy and R. Shankar, Phys. Rev. Lett. 90, 066801 (2003).
20. G. Murthy, R. Shankar, D. Herman, and H. Mathur, Phys. Rev. B 69, 075321 (2004).
21. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. Lett. 60, 1057 (1988); Phys. Rev. B 39, 2344 (1989); For a detailed treatment of the generality of the phenomenon, see, S. Sachdev, Quantum Phase Transitions (Cambridge University Press Cambridge, 1999).
22. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. Lett. 60, 1057 (1988); Phys. Rev. B 39, 2344 (1989); For a detailed treatment of the generality of the phenomenon, see, S. Sachdev, Quantum Phase Transitions (Cambridge University Press Cambridge, 1999).
23. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. Lett. 60, 1057 (1988); Phys. Rev. B 39, 2344 (1989); For a detailed treatment of the generality of the phenomenon, see, S. Sachdev, Quantum Phase Transitions (Cambridge University Press Cambridge, 1999).
24. H.-J. Sommers and S. Iida, Phys. Rev. E 49, R2513 (1994); V. I. Fal'ko and K. B. Efetov, Phys. Rev. B 50, 11 267 (1994); Phys. Rev. Lett. 77, 912 (1996); S. A. van Langen, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. E 55, R1 (1997).
25. H.-J. Sommers and S. Iida, Phys. Rev. E 49, R2513 (1994); V. I. Fal'ko and K. B. Efetov, Phys. Rev. B 50, 11 267 (1994); Phys. Rev. Lett. 77, 912 (1996); S. A. van Langen, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. E 55, R1 (1997).
26. H.-J. Sommers and S. Iida, Phys. Rev. E 49, R2513 (1994); V. I. Fal'ko and K. B. Efetov, Phys. Rev. B 50, 11 267 (1994); Phys. Rev. Lett. 77, 912 (1996); S. A. van Langen, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. E 55, R1 (1997).
27. H.-J. Sommers and S. Iida, Phys. Rev. E 49, R2513 (1994); V. I. Fal'ko and K. B. Efetov, Phys. Rev. B 50, 11 267 (1994); Phys. Rev. Lett. 77, 912 (1996); S. A. van Langen, P. W. Brouwer, and C. W. J. Beenakker, Phys. Rev. E 55, R1 (1997).
28. S. Adam, P. W. Brouwer, J. P. Sethna, and X. Waintal, Phys. Rev. B 66, 165310 (2002).
29. D. A. Gorokhov and P. W. Brouwer, Phys. Rev. Lett. 91, 186602 (2003); Phys. Rev. B 69, 155417 (2004).
30. D. A. Gorokhov and P. W. Brouwer, Phys. Rev. Lett. 91, 186602 (2003); Phys. Rev. B 69, 155417 (2004).
31. S. Adam, P. W. Brouwer, and P. Sharma, Phys. Rev. B 68, 241311 (2003).
32. Y. Alhassid and T. Rupp, e-print cond-mat/0312691 (2003).
33. See, for example, A. E. Dementyev, N. N. Kuzma, P. Khandelwal, S. E. Barrett, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 83, 5074 (1999).
34. See, for example, M. A. Eriksson, A. Pinczuk, B. S. Dennis, S. H. Simon, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 82, 2163 (1999).
35. J. von Delft and D. C. Ralph, Phys. Rep. 345, 61 (2001); J. von Delft, Ann. Phys. (Leipzig) 10, 1 (2001).
36. J. von Delft and D. C. Ralph, Phys. Rep. 345, 61 (2001); J. von Delft, Ann. Phys. (Leipzig) 10, 1 (2001).
37. S. Reich, G. Leitus, R. Popovitz-Biro, and M. Schlechter, Phys. Rev. Lett. 91, 147001 (2003).
38. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990); Europhys. Lett. 13, 733 (1990); A. Schmid, Phys. Rev. Lett. 66, 80 (1991); M. Schechter, Y. Oreg, Y. Imry, and Y. Levinson, ibid. 90, 026805 (2003).
39. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990); Europhys. Lett. 13, 733 (1990); A. Schmid, Phys. Rev. Lett. 66, 80 (1991); M. Schechter, Y. Oreg, Y. Imry, and Y. Levinson, ibid. 90, 026805 (2003).
40. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990); Europhys. Lett. 13, 733 (1990); A. Schmid, Phys. Rev. Lett. 66, 80 (1991); M. Schechter, Y. Oreg, Y. Imry, and Y. Levinson, ibid. 90, 026805 (2003).
41. V. Ambegaokar and U. Eckern, Phys. Rev. Lett. 65, 381 (1990); Europhys. Lett. 13, 733 (1990); A. Schmid, Phys. Rev. Lett. 66, 80 (1991); M. Schechter, Y. Oreg, Y. Imry, and Y. Levinson, ibid. 90, 026805 (2003).