Nonequilibrium transport theory of the singlet-triplet transition: Perturbative approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 16, 2010, Pages

  Horvath B ^a   Lazarovits, B ^a,b   Zarand G ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78149239680     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.165129     Document Type: Article

References (62)

1. N. Roch, S. Florens, V. Bouchiat, W. Wernsdorfer, and F. Balestro, Nature (London) 453, 633 (2008). 10.1038/nature06930
2. N. Roch, S. Florens, T. A. Costi, W. Wernsdorfer, and F. Balestro, Phys. Rev. Lett. 103, 197202 (2009). 10.1103/PhysRevLett.103.197202
3. K. Moth-Poulsen and T. Bjornholm, Nat. Nanotechnol. 4, 551 (2009). 10.1038/nnano.2009.176
4. J. J. Parks, A. R. Champagne, T. A. Costi, W. W. Shum, A. N. Pasupathy, E. Neuscamman, S. Flores-Torres, P. S. Cornaglia, A. A. Aligia, C. A. Balseiro, G. K.-L. Chan, H. D. Abruna, and D. C. Ralph, Science 328, 1370 (2010). 10.1126/science.1186874
5. R. Hanson, L. P. Kouwenhoven, J. R. Petta, S. Tarucha, and L. M. K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007). 10.1103/RevModPhys.79.1217
6. M. Grobis, I. G. Rau, R. M. Potok, and D. Goldhaber-Gordon, in Handbook of Magnetism and Magnetic Materials, edited by, H. Kronmüller, and, S. Parkin, (Wiley, New York, 2007).
7. J. R. Heath, Annu. Rev. Mater. Res. 39, 1 (2009). 10.1146/annurev-matsci- 082908-145401
8. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57, 120 (1998). 10.1103/PhysRevA.57.120
9. J. Martinek, M. Sindel, L. Borda, J. Barnas, J. König, G. Schön, and J. von Delft, Phys. Rev. Lett. 91, 247202 (2003). 10.1103/PhysRevLett.91.247202
10. M. R. Calvo, J. Fernandez-Rossier, J. J. Palacios, D. Jacob, D. Natelson, and C. Untiedt, Nature (London) 458, 1150 (2009). 10.1038/nature07878
11. M.-S. Choi, M. Lee, K. Kang, and W. Belzig, Phys. Rev. B 70, 020502 (2004). 10.1103/PhysRevB.70.020502
12. P. Jarillo-Herrero, J. A. van Dam, and L. P. Kouwenhoven, Nature (London) 439, 953 (2006). 10.1038/nature04550
13. J. Bauer, A. Oguri, and A. C. Hewson, J. Phys.: Condens. Matter 19, 486211 (2007). 10.1088/0953-8984/19/48/486211
14. L. Hofstetter, S. Csonka, J. Nygård, and C. Schönenberger, Nature (London) 461, 960 (2009). 10.1038/nature08432
15. R. M. Potok, I. G. Rau, H. Shtrikman, Y. Oreg, and D. Goldhaber-Gordon, Nature (London) 446, 167 (2007). 10.1038/nature05556
16. M. Vojta, R. Bulla, and W. Hofstetter, Phys. Rev. B 65, 140405 (2002). 10.1103/PhysRevB.65.140405
17. A. Kogan, G. Granger, M. A. Kastner, D. Goldhaber-Gordon, and H. Shtrikman, Phys. Rev. B 67, 113309 (2003). 10.1103/PhysRevB.67.113309
18. G. Zaránd, C.-H. Chung, P. Simon, and M. Vojta, Phys. Rev. Lett. 97, 166802 (2006). 10.1103/PhysRevLett.97.166802
19. E. Sela and I. Affleck, Phys. Rev. Lett. 102, 047201 (2009). 10.1103/PhysRevLett.102.047201
20. J. Eckel, F. Heidrich-Meisner, S. G. Jakobs, M. Thorwart, M. Pletyukhov, and R. Egger, New J. Phys. 12, 043042 (2010). 10.1088/1367-2630/12/4/043042
21. J. E. Han, Phys. Rev. B 81, 245107 (2010). 10.1103/PhysRevB.81.245107
22. P. Mehta and N. Andrei, Phys. Rev. Lett. 96, 216802 (2006). 10.1103/PhysRevLett.96.216802
23. See also the correction in P. Mehta, S. Chao, and N. Andrei, arXiv:cond-mat/0703426 (unpublished).
24. E. Boulat, H. Saleur, and P. Schmitteckert, Phys. Rev. Lett. 101, 140601 (2008). 10.1103/PhysRevLett.101.140601
25. A. Rosch, J. Paaske, J. Kroha, and P. Wölfle, J. Phys. Soc. Jpn. 74, 118 (2005) 10.1143/JPSJ.74.118
26. A. Rosch, J. Paaske, J. Kroha, and P. Wölfle, Phys. Rev. Lett. 90, 076804 (2003). 10.1103/PhysRevLett.90.076804
27. S. G. Jakobs, M. Pletyukhov, and H. Schoeller, Phys. Rev. B 81, 195109 (2010). 10.1103/PhysRevB.81.195109
28. M. Moeckel and S. Kehrein, Ann. Phys. 324, 2146 (2009). 10.1016/j.aop.2009.03.009
29. S. Andergassen, V. Meden, H. Schoeller, J. Splettstoesser, and M. Wegewijs, Nanotechnology 21, 272001 (2010). 10.1088/0957-4484/21/27/272001
30. F. B. Anders and A. Schiller, Phys. Rev. Lett. 95, 196801 (2005). 10.1103/PhysRevLett.95.196801
31. U. Schollwöck, Rev. Mod. Phys. 77, 259 (2005). 10.1103/RevModPhys. 77.259
32. A. Levy Yeyati, A. Martín-Rodero, and F. Flores, Phys. Rev. Lett. 71, 2991 (1993). 10.1103/PhysRevLett.71.2991
33. H. Kajueter and G. Kotliar, Phys. Rev. Lett. 77, 131 (1996). 10.1103/PhysRevLett.77.131
34. A. A. Aligia, Phys. Rev. B 74, 155125 (2006). 10.1103/PhysRevB.74.155125
35. K. S. Thygesen and A. Rubio, Phys. Rev. B 77, 115333 (2008). 10.1103/PhysRevB.77.115333
36. B. Horváth, B. Lazarovits, O. Sauret, and G. Zaránd, Phys. Rev. B 77, 113108 (2008). 10.1103/PhysRevB.77.113108
37. G. Zaránd, A. Brataas, and D. Goldhaber-Gordon, Solid State Commun. 126, 463 (2003). 10.1016/S0038-1098(03)00180-7
38. L. Borda, G. Zaránd, W. Hofstetter, B. I. Halperin, and J. von Delft, Phys. Rev. Lett. 90, 026602 (2003). 10.1103/PhysRevLett.90.026602
39. S. Sasaki, S. Amaha, N. Asakawa, M. Eto, and S. Tarucha, Phys. Rev. Lett. 93, 017205 (2004). 10.1103/PhysRevLett.93.017205
40. P. Jarillo-Herrero, J. Kong, H. S. J. van der Zant, C. Dekker, L. P. Kouwenhoven, and S. De Franceschi, Nature (London) 434, 484 (2005). 10.1038/nature03422
41. M.-S. Choi, R. López, and R. Aguado, Phys. Rev. Lett. 95, 067204 (2005). 10.1103/PhysRevLett.95.067204
42. W. G. van der Wiel, S. De Franceschi, J. M. Elzerman, S. Tarucha, L. P. Kouwenhoven, J. Motohisa, F. Nakajima, and T. Fukui, Phys. Rev. Lett. 88, 126803 (2002). 10.1103/PhysRevLett.88.126803
43. G. Granger, M. A. Kastner, Iuliana Radu, M. P. Hanson, and A. C. Gossard, Phys. Rev. B 72, 165309 (2005). 10.1103/PhysRevB.72.165309
44. M. Pustilnik and L. I. Glazman, Phys. Rev. Lett. 87, 216601 (2001). 10.1103/PhysRevLett.87.216601
45. W. Hofstetter and G. Zaránd, Phys. Rev. B 69, 235301 (2004). 10.1103/PhysRevB.69.235301
46. P. Roura Bas and A. A. Aligia, J. Phys.: Condens. Matter 22, 025602 (2010). 10.1088/0953-8984/22/2/025602
47. J. Paaske, A. Rosch, P. Wölfle, N. Mason, C. M. Marcus, and J. Nygård, Nat. Phys. 2, 460 (2006). 10.1038/nphys340
48. B. Horváth, B. Lazarovits, and G. Zaránd (unpublished).
49. M. Pustilnik and L. I. Glazman, Phys. Rev. B 64, 045328 (2001). 10.1103/PhysRevB.64.045328
50. M. Pustilnik and L. I. Glazman, Phys. Rev. Lett. 85, 2993 (2000). 10.1103/PhysRevLett.85.2993
51. S. Sasaki, S. De Franceschi, J. M. Elzerman, W. G. van der Wiel, M. Eto, S. Tarucha, and L. P. Kouwenhoven, Nature (London) 405, 764 (2000). 10.1038/35015509
52. J. Nygård, D. H. Cobden, and P. E. Lindelof, Nature (London) 408, 342 (2000). 10.1038/35042545
53. See, e.g., A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1963).
54. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986). 10.1103/RevModPhys.58.323
55. Y. Meir and N. S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992). 10.1103/PhysRevLett.68.2512
56. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993). 10.1017/CBO9780511470752
57. P. W. Anderson, Phys. Rev. 124, 41 (1961). 10.1103/PhysRev.124.41
58. M. Pustilnik, L. I. Glazman, and W. Hofstetter, Phys. Rev. B 68, 161303 (2003). 10.1103/PhysRevB.68.161303
59. M. Eto and Y. V. Nazarov, Phys. Rev. Lett. 85, 1306 (2000). 10.1103/PhysRevLett.85.1306
60. T. Kuzmenko, K. Kikoin, and Y. Avishai, Phys. Rev. B 69, 195109 (2004). 10.1103/PhysRevB.69.195109
61. W. Izumida, O. Sakai, and S. Tarucha, Phys. Rev. Lett. 87, 216803 (2001). 10.1103/PhysRevLett.87.216803
62. J. A. White, Phys. Rev. B 45, 1100 (1992). 10.1103/PhysRevB.45.1100