A dynamic scattering approach for a gated interacting wire

European Physical Journal B

Volumn 12, Issue 3, 1999, Pages 451-455

  Safi, I ^a,b  

^a CENTRE D ETUDES DE SACLAY   (France)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

71.10.Pm Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.); 72.10. d Theory of electronic transport; scattering mechanisms; 73.23. b Mesoscopic systems

Indexed keywords

EID: 0000628582     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510051026     Document Type: Article

References (36)

1. R. Landauer, Philos. Mag. 21, 863 (1970); M. Büttiker, Y. Imry, R. Landauer, S. Pinhas, Phys. Rev. B 31, 6207 (1985).
2. R. Landauer, Philos. Mag. 21, 863 (1970); M. Büttiker, Y. Imry, R. Landauer, S. Pinhas, Phys. Rev. B 31, 6207 (1985).
3. M. Büttiker, A. Prêtre, H. Thomas, Phys. Rev. Lett. 70, 4114 (1993).
4. N. S. Wingreen, A.P. Jauho, Y. Meir, Phys. Rev. B 48, R8487 (1993-I); C. Bruder, H. Scholler, Phys. Rev. Lett. 72, 1076 (1994).
5. N. S. Wingreen, A.P. Jauho, Y. Meir, Phys. Rev. B 48, R8487 (1993-I); C. Bruder, H. Scholler, Phys. Rev. Lett. 72, 1076 (1994).
6. I. Safi, H.J. Schulz, Phys. Rev. B 52, R17040 (1995).
7. D. Maslov, M. Stone, Phys. Rev. B 52, R5539 (1995); V.V. Ponomarenko, ibid. R8666.
8. D. Maslov, M. Stone, Phys. Rev. B 52, R5539 (1995); V.V. Ponomarenko, ibid. R8666.
9. A. Y. Alekseev, V. Cheianov, J. Fröhlich, Phys. Rev. B 54, R17320 (1996); A. Shimizu, J. Phys. Soc. Jap. 65, 1162 (1996); The first argument by Y. Oreg, A.M. Finkel'stein, Phys. Rev. B 54, R14265 (1996) is similar [22], but is different from the second argument proposed also by A. Kawabata, J. Phys. Soc. Jap. 65, 30 (1996), and based on Kubo formula without reservoirs; this yields in general a different conductance [7].
10. A. Y. Alekseev, V. Cheianov, J. Fröhlich, Phys. Rev. B 54, R17320 (1996); A. Shimizu, J. Phys. Soc. Jap. 65, 1162 (1996); The first argument by Y. Oreg, A.M. Finkel'stein, Phys. Rev. B 54, R14265 (1996) is similar [22], but is different from the second argument proposed also by A. Kawabata, J. Phys. Soc. Jap. 65, 30 (1996), and based on Kubo formula without reservoirs; this yields in general a different conductance [7].
11. A. Y. Alekseev, V. Cheianov, J. Fröhlich, Phys. Rev. B 54, R17320 (1996); A. Shimizu, J. Phys. Soc. Jap. 65, 1162 (1996); The first argument by Y. Oreg, A.M. Finkel'stein, Phys. Rev. B 54, R14265 (1996) is similar [22], but is different from the second argument proposed also by A. Kawabata, J. Phys. Soc. Jap. 65, 30 (1996), and based on Kubo formula without reservoirs; this yields in general a different conductance [7].
12. A. Y. Alekseev, V. Cheianov, J. Fröhlich, Phys. Rev. B 54, R17320 (1996); A. Shimizu, J. Phys. Soc. Jap. 65, 1162 (1996); The first argument by Y. Oreg, A.M. Finkel'stein, Phys. Rev. B 54, R14265 (1996) is similar [22], but is different from the second argument proposed also by A. Kawabata, J. Phys. Soc. Jap. 65, 30 (1996), and based on Kubo formula without reservoirs; this yields in general a different conductance [7].
13. I. Safi, Phys. Rev. B 55, R7331 (1997).
14. A. Alekseev, V. Cheianov, J. Fröhlich, cond-mat/9803346.
15. I. Safi, H.J. Schulz, in Quantum Transport in Semiconductor Submicron Structures, edited by B. Kramer (Kluwer Academic Press, Dordrecht, 1995); in Correlated Fermions and Transport in Mesoscopic Systems, edited by T. Martin, G. Montambaux, J.T. Van (Editions Frontières, Gif-sur-Yvette, 1996); Phys. Rev. B, 59, 3040 (1999).
16. I. Safi, H.J. Schulz, in Quantum Transport in Semiconductor Submicron Structures, edited by B. Kramer (Kluwer Academic Press, Dordrecht, 1995); in Correlated Fermions and Transport in Mesoscopic Systems, edited by T. Martin, G. Montambaux, J.T. Van (Editions Frontières, Gif-sur-Yvette, 1996); Phys. Rev. B, 59, 3040 (1999).
17. I. Safi, H.J. Schulz, in Quantum Transport in Semiconductor Submicron Structures, edited by B. Kramer (Kluwer Academic Press, Dordrecht, 1995); in Correlated Fermions and Transport in Mesoscopic Systems, edited by T. Martin, G. Montambaux, J.T. Van (Editions Frontières, Gif-sur-Yvette, 1996); Phys. Rev. B, 59, 3040 (1999).
18. I. Safi-Taktak, Ph.D. thesis, Laboratoire de Physique des Solides, 1996; Ann. Phys. Fr. 22, 463 (1997).
19. I. Safi-Taktak, Ph.D. thesis, Laboratoire de Physique des Solides, 1996; Ann. Phys. Fr. 22, 463 (1997).
20. Ya.M. Blanter, F.W.J. Hekking, M. Büttiker, Phys. Rev. Lett. 81, 1749 (1998).
21. V.V. Ponomarenko, Phys. Rev. B 52, R8666 (1995); V.A. Sablikov and B.S. Shchamkhalova, JETP Lett. 66, 41 (1997).
22. V.V. Ponomarenko, Phys. Rev. B 52, R8666 (1995); V.A. Sablikov and B.S. Shchamkhalova, JETP Lett. 66, 41 (1997).
23. C.L. Kane, M.P.A. Fisher, Phys. Rev. B 52, 17393 (1995).
24. C. de C. Chamon, E. Fradkin, Phys. Rev. B 55, 4534 (1997-II).
25. N.P. Sandler, C. de C. Chamon, E. Fradkin, Phys. Rev. B 57, 12324 (1998).
26. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950); D.C. Mattis, E.H. Lieb, J. Math. Phys. 6, 304 (1965).
27. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950); D.C. Mattis, E.H. Lieb, J. Math. Phys. 6, 304 (1965).
28. For the specific case of a quadratic Hamiltonian, and in equilibrium, see also reference [22].
29. For a quadratic Hamiltonian, this result was shown in references [4.7], and justifies the hypothesis adopted in references [6].
30. R. Egger, H. Grabert, Phys. Rev. Lett. 77, 538 (1996).
31. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990).
32. R. Egger, H. Grabert, Phys. Rev. Lett. 79, 3463 (1997).
33. Y. Oreg, A.M. Finkel'stein, Phys. Rev. Lett. 74, 3668 (1993).
34. A. Furusaki, N. Nagaosa, Phys. Rev. B 54, R5239 (1996). See also D. Maslov, Phys. Rev. B 52, R14368 (1995), but where results are restricted to the bulk [10].
35. A. Furusaki, N. Nagaosa, Phys. Rev. B 54, R5239 (1996). See also D. Maslov, Phys. Rev. B 52, R14368 (1995), but where results are restricted to the bulk [10].
36. R. Egger, H. Grabert, Phys. Rev. Lett. 80, 2255 (1998).