Interplay between Kondo physics and spin-orbit coupling in carbon nanotube quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 7, 2010, Pages

  Galpin, Martin R ^a   Jayatilaka, Frederic W ^a   Logan, David E ^a   Anders, Frithjof B ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954875300     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.075437     Document Type: Article

References (60)

1. C. Dekker, Phys. Today 52 (5), 22 (1999). 10.1063/1.882658
2. S. Sapmaz, P. Jarillo-Herrero, L. P. Kouwenhoven, and H. S. J. van der Zant, Semicond. Sci. Technol. 21, S52 (2006). 10.1088/0268-1242/21/11/S08
3. P. Avouris, Z. Chen, and V. Perebeinos, Nat. Nanotechnol. 2, 605 (2007). 10.1038/nnano.2007.300
4. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993). 10.1017/CBO9780511470752
5. J. Nygård, D. H. Cobden, and P. E. Lindelof, Nature (London) 408, 342 (2000). 10.1038/35042545
6. M. R. Buitelaar, A. Bachtold, T. Nussbaumer, M. Iqbal, and C. Schönenberger, Phys. Rev. Lett. 88, 156801 (2002). 10.1103/PhysRevLett.88. 156801
7. 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
8. P. Jarillo-Herrero, J. Kong, H. S. J. van der Zant, C. Dekker, L. P. Kouwenhoven, and S. De Franceschi, Phys. Rev. Lett. 94, 156802 (2005). 10.1103/PhysRevLett.94.156802
9. A. Makarovski, A. Zhukov, J. Liu, and G. Finkelstein, Phys. Rev. B 75, 241407 (R) (2007). 10.1103/PhysRevB.75.241407
10. A. Makarovski, J. Liu, and G. Finkelstein, Phys. Rev. Lett. 99, 066801 (2007). 10.1103/PhysRevLett.99.066801
11. T. K. Ng and P. A. Lee, Phys. Rev. Lett. 61, 1768 (1988). 10.1103/PhysRevLett.61.1768
12. L. I. Glazman and M. E. Raikh, JETP Lett. 47, 452 (1988).
13. D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav, and M. A. Kastner, Nature (London) 391, 156 (1998). 10.1038/34373
14. S. M. Cronenwett, T. H. Oosterkamp, and L. P. Kouwenhoven, Science 281, 540 (1998). 10.1126/science.281.5376.540
15. W. G. van der Wiel, S. De Franceschi, T. Fujisawa, J. M. Elzerman, S. Tarucha, and L. P. Kouwenhoven, Science 289, 2105 (2000). 10.1126/science.289. 5487.2105
16. L. Borda, G. Zaránd, W. Hofstetter, B. I. Halperin, and J. von Delft, Phys. Rev. Lett. 90, 026602 (2003). 10.1103/PhysRevLett.90.026602
17. D. Boese, W. Hofstetter, and H. Schoeller, Phys. Rev. B 66, 125315 (2002). 10.1103/PhysRevB.66.125315
18. G. Zaránd, A. Brataas, and D. Goldhaber-Gordon, Solid State Commun. 126, 463 (2003). 10.1016/S0038-1098(03)00180-7
19. K. Le Hur, P. Simon, and L. Borda, Phys. Rev. B 69, 045326 (2004). 10.1103/PhysRevB.69.045326
20. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, Phys. Rev. Lett. 94, 186406 (2005). 10.1103/PhysRevLett.94.186406
21. R. López, D. Sánchez, M. Lee, M.-S. Choi, P. Simon, and K. Le Hur, Phys. Rev. B 71, 115312 (2005). 10.1103/PhysRevB.71.115312
22. M. S. Choi, R. Lopez, and R. Aguado, Phys. Rev. Lett. 95, 067204 (2005). 10.1103/PhysRevLett.95.067204
23. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, J. Phys.: Condens. Matter 18, 6545 (2006). 10.1088/0953-8984/18/29/001
24. A. K. Mitchell, M. R. Galpin, and D. E. Logan, Europhys. Lett. 76, 95 (2006). 10.1209/epl/i2006-10219-1
25. Z. Rui, Chin. Phys. Lett. 23, 1578 (2006). 10.1088/0256-307X/23/6/061
26. R. Sakano and N. Kawakami, Phys. Rev. B 73, 155332 (2006). 10.1103/PhysRevB.73.155332
27. J. S. Lim, M.-S. Choi, M. Y. Choi, R. López, and R. Aguado, Phys. Rev. B 74, 205119 (2006). 10.1103/PhysRevB.74.205119
28. K. Le Hur, P. Simon, and D. Loss, Phys. Rev. B 75, 035332 (2007). 10.1103/PhysRevB.75.035332
29. C. A. Büsser and G. B. Martins, Phys. Rev. B 75, 045406 (2007). 10.1103/PhysRevB.75.045406
30. F. B. Anders, D. E. Logan, M. R. Galpin, and G. Finkelstein, Phys. Rev. Lett. 100, 086809 (2008). 10.1103/PhysRevLett.100.086809
31. M. Mizuno, E. H. Kim, and G. B. Martins, J. Phys.: Condens. Matter 21, 292203 (2009). 10.1088/0953-8984/21/29/292203
32. F. Kuemmeth, S. Ilani, D. C. Ralph, and P. L. McEuen, Nature (London) 452, 448 (2008). 10.1038/nature06822
33. T. Ando, J. Phys. Soc. Jpn. 69, 1757 (2000). 10.1143/JPSJ.69.1757
34. D. Huertas-Hernando, F. Guinea, and A. Brataas, Phys. Rev. B 74, 155426 (2006). 10.1103/PhysRevB.74.155426
35. A. Secchi and M. Rontani, Phys. Rev. B 80, 041404 (R) (2009). 10.1103/PhysRevB.80.041404
36. B. Wunsch, Phys. Rev. B 79, 235408 (2009). 10.1103/PhysRevB.79.235408
37. D. E. Logan and M. R. Galpin, J. Chem. Phys. 130, 224503 (2009). 10.1063/1.3148035
38. T.-F. Fang, W. Zuo, and H.-G. Luo, Phys. Rev. Lett. 101, 246805 (2008). 10.1103/PhysRevLett.101.246805
39. It is, for example, readily shown to break down at low energy/temperature, and to violate Fermi-liquid behavior.
40. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B 21, 1003 (1980). 10.1103/PhysRevB.21.1003
41. R. Bulla, T. Costi, and T. Pruschke, Rev. Mod. Phys. 80, 395 (2008). 10.1103/RevModPhys.80.395
42. Carbon Nanotubes, edited by, L. L. Sohn,,, L. P. Kouwenhoven,, and, G. Schon, (Springer, New York, 2001).
43. Y. Oreg, K. Byczuk, and B. I. Halperin, Phys. Rev. Lett. 85, 365 (2000). 10.1103/PhysRevLett.85.365
44. Y. Meir and N. S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992). 10.1103/PhysRevLett.68.2512
45. R. Peters, T. Pruschke, and F. B. Anders, Phys. Rev. B 74, 245114 (2006). 10.1103/PhysRevB.74.245114
46. A. Weichselbaum and J. von Delft, Phys. Rev. Lett. 99, 076402 (2007). 10.1103/PhysRevLett.99.076402
47. F. B. Anders, Phys. Rev. Lett. 101, 066804 (2008). 10.1103/PhysRevLett. 101.066804
48. D. E. Logan, C. J. Wright, and M. R. Galpin, Phys. Rev. B 80, 125117 (2009). 10.1103/PhysRevB.80.125117
49. J. M. Luttinger and J. C. Ward, Phys. Rev. 118, 1417 (1960). 10.1103/PhysRev.118.1417
50. D. C. Langreth, Phys. Rev. 150, 516 (1966). 10.1103/PhysRev.150.516
51. F. B. Anders and A. Schiller, Phys. Rev. B 74, 245113 (2006). 10.1103/PhysRevB.74.245113
52. F. B. Anders and A. Schiller, Phys. Rev. Lett. 95, 196801 (2005). 10.1103/PhysRevLett.95.196801
53. V. L. Campo and L. N. Oliveira, Phys. Rev. B 72, 104432 (2005). 10.1103/PhysRevB.72.104432
54. W. C. Oliveira and L. N. Oliveira, Phys. Rev. B 49, 11986 (1994). 10.1103/PhysRevB.49.11986
55. R. Bulla, A. C. Hewson, and T. Pruschke, J. Phys.: Condens. Matter 10, 8365 (1998). 10.1088/0953-8984/10/37/021
56. In practice T K SU (N) is defined as the temperature for which the impurity entropy (Ref.) is 1 2 ln (N), suitably below its value for the SU (N) local moment fixed point.
57. Another shell (centred on V g ∼ 2 V) has previously been compared to an SU(4) model without spin-orbit coupling, Ref., reproducing its qualitative features but predicting the conductance to be symmetric about reflection in the N g = 2 line as in Fig..
58. The N g = 1 and 2 Kondo resonances are themselves distinct (Refs.).
59. D. E. Logan and N. L. Dickens, J. Phys.: Condens. Matter 13, 9713 (2001). 10.1088/0953-8984/13/43/304
60. D. C. H. Wallom and A. E. Trefethen, in Proceedings of the UK e-Science All Hands Meeting 2006, edited by, S. J. Cox, (National e-Science Centre, Nottingham, UK, 2006).