Quantum transport and integrability of the Anderson model for a quantum dot with multiple leads

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 12, 2003, Pages 1253271-1253275

  Cho, Sam Young ^a   Zhou, Huan Qiang ^a   McKenzie, Ross H ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; MODEL; QUANTUM MECHANICS; TEMPERATURE DEPENDENCE; THEORY; TRANSPORT KINETICS;

EID: 0242489072     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/physrevb.68.125327     Document Type: Article

References (32)

1. L.I. Glazman and M.E. Raikh, JETP Lett. 47, 452 (1988); T.K. Ng and P.A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
2. L.I. Glazman and M.E. Raikh, JETP Lett. 47, 452 (1988); T.K. Ng and P.A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
3. D. Goldhaber-Gordon, H. Shtrikman, D. Abush-Magder, U. Meirav, and M.A. Kastner, Nature (London) 391, 156 (1998); D. Goldhaber-Gordon, J. Gores, M.A. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, J. Weis, K. Eberl, and K. von Klitzing, Physica B 256B-258B, 182 (1998); F. Simmel, R.H. Blick, J.P. Kotthaus, W. Wegscheider, and M. Bichler, Phys. Rev. Lett. 83, 804 (1999).
4. D. Goldhaber-Gordon, H. Shtrikman, D. Abush-Magder, U. Meirav, and M.A. Kastner, Nature (London) 391, 156 (1998); D. Goldhaber-Gordon, J. Gores, M.A. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, J. Weis, K. Eberl, and K. von Klitzing, Physica B 256B-258B, 182 (1998); F. Simmel, R.H. Blick, J.P. Kotthaus, W. Wegscheider, and M. Bichler, Phys. Rev. Lett. 83, 804 (1999).
5. D. Goldhaber-Gordon, H. Shtrikman, D. Abush-Magder, U. Meirav, and M.A. Kastner, Nature (London) 391, 156 (1998); D. Goldhaber-Gordon, J. Gores, M.A. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, J. Weis, K. Eberl, and K. von Klitzing, Physica B 256B-258B, 182 (1998); F. Simmel, R.H. Blick, J.P. Kotthaus, W. Wegscheider, and M. Bichler, Phys. Rev. Lett. 83, 804 (1999).
6. D. Goldhaber-Gordon, H. Shtrikman, D. Abush-Magder, U. Meirav, and M.A. Kastner, Nature (London) 391, 156 (1998); D. Goldhaber-Gordon, J. Gores, M.A. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, J. Weis, K. Eberl, and K. von Klitzing, Physica B 256B-258B, 182 (1998); F. Simmel, R.H. Blick, J.P. Kotthaus, W. Wegscheider, and M. Bichler, Phys. Rev. Lett. 83, 804 (1999).
7. D. Goldhaber-Gordon, H. Shtrikman, D. Abush-Magder, U. Meirav, and M.A. Kastner, Nature (London) 391, 156 (1998); D. Goldhaber-Gordon, J. Gores, M.A. Kastner, Hadas Shtrikman, D. Mahalu, and U. Meirav, Phys. Rev. Lett. 81, 5225 (1998); S.M. Cronenwett, T.H. Oosterkamp, and L.P. Kouwenhoven, Science 281, 540 (1998); J. Schmid, J. Weis, K. Eberl, and K. von Klitzing, Physica B 256B-258B, 182 (1998); F. Simmel, R.H. Blick, J.P. Kotthaus, W. Wegscheider, and M. Bichler, Phys. Rev. Lett. 83, 804 (1999).
8. W.G. van der Wiel, S. De Franceschi, T. Fujisawa, J.M. Elzerman, S. Tarucha, and L.P. Kouwenhoven, Science 289, 2105 (2000).
9. Y. Ji, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett. 88, 076601 (2002).
10. Y. Meir, N.S. Wingreen, and P.A. Lee, Phys. Rev. Lett. 70, 2601 (1993).
11. Q.-F. Sun and H. Guo, Phys. Rev. B 64, 153306 (2001).
12. E. Lebanon and A. Schiller, Phys. Rev. B 65, 035308 (2002).
13. S. De Franceschi, R. Hansdn, W.G. van der Wiel, J.M. Elzerman, J.J. Wijpkema, T. Fujisawa, S. Tarucha, and L.P. Kouwenhoven, Phys. Rev. Lett. 89, 156801 (2002).
14. For a review, see A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
15. N. Kawakami and A. Okiji, Phys. Lett. A 86, 483 (1982).
16. P. Wiegmann, V. Filyov, and A. Tsvelick, Pis'ma Zh Éksp. Teor. Fiz. 35, 72 (1982) [JETP Lett. 35, 92 (1982)].
17. P. Wiegmann, V. Filyov, and A. Tsvelick, Pis'ma Zh Éksp. Teor. Fiz. 35, 72 (1982) [JETP Lett. 35, 92 (1982)].
18. V. Filyov, A. Tsvelick, and P. Wiegmann, Phys. Lett. A 89, 157 (1982).
19. A. Tsvelick and P. Wiegmann, Adv. Phys. 32, 453 (1983).
20. M. Büttiker, Phys. Rev. B 38, 12724 (1988).
21. Note that this is different from the case of nonequilibrium transport through point contacts in quantum wires and fractional quantum Hall devices (Ref. 19). In that case the Luttinger liquid model considered remains integrable, even in the presence of a finite bias.
22. R.M. Konik, H. Saleur, and A.W.W. Ludwig, Phys. Rev. Lett. 87, 236801 (2001).
23. R.M. Konik, H. Saleur, and A.W.W. Ludwig, Phys. Rev. B 66, 125304 (2002).
24. For a review, see S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, New York, 1995).
25. P. Fendley, A.W.W. Ludwig, and H. Saleur, Phys. Rev. B 52, 8934 (1995).
26. H. Saleur and U. Weiss, Phys. Rev. B 63, 201302 (2001).
27. N. Andrei, Phys. Lett. A 87, 299 (1982).
28. N. Andrei, K. Furuya, and J.H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983); N. Andrei, cond-mat/9408101 (unpublished).
29. N. Andrei, K. Furuya, and J.H. Lowenstein, Rev. Mod. Phys. 55, 331 (1983); N. Andrei, cond-mat/9408101 (unpublished).
30. D. Langreth, Phys. Rev. 150, 216 (1966).
31. C. Nayak, M.P.A. Fisher, A.W.W. Ludwig, and H.H. Lin, Phys. Rev. B 59, 15694 (1999).
32. P. Simon and I. Affleck, cond-mat/0305326 (unpublished).