Nonequilibrium charge-Kondo transport through negative- U molecules

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 19, 2007, Pages

  Koch, Jens ^a,b   Sela, Eran ^c   Oreg, Yuval ^c   Von Oppen, Felix ^b  

^a Yale University   (United States)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247854869     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.195402     Document Type: Article

References (37)

1. A. S. Alexandrov, A. M. Bratkovsky, and R. S. Williams, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.075301 67, 075301 (2003).
2. A. S. Alexandrov and A. M. Bratkovsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.235312 67, 235312 (2003).
3. P. S. Cornaglia, H. Ness, and D. R. Grempel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.147201 93, 147201 (2004).
4. P. S. Cornaglia, D. R. Grempel, and H. Ness, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.075320 71, 075320 (2005).
5. L. Arrachea and M. J. Rozenberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.041301 72, 041301 (R) (2005).
6. J. Koch, M. E. Raikh, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.056803 96, 056803 (2006).
7. P. W. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.34. 953 34, 953 (1975).
8. V. Oganesyan, S. Kivelson, T. Geballe, and B. Moyzhes, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.172504 65, 172504 (2002).
9. V. I. Kozub, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.226805 90, 226805 (2003).
10. C. Kraiya and D. H. Evans, J. Electroanal. Chem. JECHES 0022-0728 10.1016/j.jelechem.2003.09.024 565, 29 (2004), and references therein.
11. In the following, we assume the one-particle level spacing of the molecule to be larger than U so that the relevant two charge states are the empty and doubly occupied state.
12. A. Taraphder and P. Coleman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2814 66, 2814 (1991).
13. G. Iche and A. Zawadowski, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(72)90882-4 10, 1001 (1972).
14. F. D. M. Haldane, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.281 15, 281 (1977).
15. L. I. Glazman and M. Pustilnik, in Nanophysics: Coherence and Transport, edited by, H. Bouchiat,,, Y. Gefen,,, G. M. S. Guéron,, and, J. Dalibard, (Elsevier, Amsterdam, 2005), pp. 427-478.
16. J. Kondo, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.32.37 32, 37 (1964).
17. We thank A. Schiller for an instructive discussion of this point.
18. L. I. Glazman and M. E. Raikh, JETP Lett. JTPLA2 0021-3640 10.1103/PhysRevLett.61.1768 47, 452 (1988).
19. R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.12.570 12, 570 (1957).
20. When using this notation (as opposed to the two-particle energy 2 εd +U), the pair level can be accessed in a real process from the left lead whenever it is situated below the left Fermi level.
21. Here, we restrict our calculations to the leading order in the tunneling between molecule and leads. The inclusion of higher order terms, including inelastic contributions (Ref.), is an interesting open problem and beyond the scope of the present paper.
22. A. Kaminski and L. I. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2400 86, 2400 (2001).
23. X. Jehl, P. Payet-Burin, C. Baraduc, R. Calemczuk, and M. Sanquer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.1660 83, 1660 (1999).
24. B. A. Muzykantskii and D. E. Khmelnitskii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.3982 50, 3982 (1994).
25. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.724 72, 724 (1994).
26. R. de Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) NATUAS 0028-0836 10.1038/38241 389, 162 (1997).
27. L. Saminadayar, D. C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2526 79, 2526 (1997).
28. A. N. Korotkov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.10381 49, 10381 (1994).
29. J. Koch, F. von Oppen, and A. V. Andreev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.205438 74, 205438 (2006).
30. During preparation of this manuscript, we became aware of related work on shot noise in the high-temperature limit of the negative- U Anderson model by M.-J. Hwang, M.-S. Choi, and R. Lopez, eprint cond-mat/0608599 (unpublished).
31. A related mechanism was discussed in A. Schiller and S. Hershfield, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.14978 58, 14978 (1998) for the limit in which the Zeeman energy exceeds the voltage bias.
32. J. R. Schrieffer and P. A. Wolff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.149.491 149, 491 (1966).
33. P. Nozières, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00654541 17, 31 (1974).
34. P. Nozières, in Proceedings of the 14th International Conference on Low Temperature Physics, edited by, M. Krusius, and, M. Vuorio, (North-Holland, Amsterdam, 1975), Vol. 5.
35. A. M. Tsvelick and P. B. Wiegmann, Adv. Phys. ADPHAH 0001-8732 10.1080/00018738300101581 32, 453 (1983).
36. E. Sela, Y. Oreg, F. von Oppen, and J. Koch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.086601 97, 086601 (2006).
37. J. Koch, M. E. Raikh, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.056801 95, 056801 (2005).