Bosonization Theory of the Resonant Raman Spectra of Quantum Wires

  • Maura Sassetti
  • Bernhard Kramer
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 544)


We develop a Bosonization theory for the differential cross section for resonant Raman scattering on interacting electrons in quantum wires. The charge and spin density excitations, observed in recent Raman experiments, are identified. Near resonance, the hitherto unexplained “single particle excitations” are shown to originate in higher order collective spin excitations that are dressed with charge modes. A new selection rule for the inter-subband “single particle excitations” is predicted. Non-analytic power-law dependencies on photon energy and/or temperature of the intensities of the peaks in the resonant Raman spectra are derived which reflect the strength of the electron interaction.


Quantum Wire Fermi Velocity Bosonization Theory Small Wave Number Perpendicular Polarization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950).CrossRefGoogle Scholar
  2. 2.
    J. M. Luttinger, J. Math. Phys. 4, 1154 (1963).CrossRefGoogle Scholar
  3. 3.
    F. D. M. Haldane, J. Phys. C 14, 2585 (1981).CrossRefGoogle Scholar
  4. 4.
    J. Sólyom. Adv. Phys. 28, 201 (1979).CrossRefGoogle Scholar
  5. 5.
    J. Voit, Rep. Progr. Phys. 57, 977 (1995).CrossRefGoogle Scholar
  6. 6.
    M. Sassetti, in: Quantum Transport in Semiconductor Submicron Structures, ed. by B. Kramer, NATO ASI Ser. E326 (Kluwer, Dordrecht 1996), p. 95.Google Scholar
  7. 7.
    H. J. Schulz, Phys. Rev. Lett. 71, 1864 (1993); H. J. Schulz, in Mesoscopic Quantum Physics, edited by E. Akkermans, G. Montambaux, J. L. Pichard, and J. Zinn-Justin (Elsevier, New York 1995), p. 533.CrossRefGoogle Scholar
  8. 8.
    T. Ogawa, Physica B 249–251, 185 (1998).Google Scholar
  9. 9.
    D. G. Clarke, S. P. Strong, P. W. Anderson, Phys. Rev. Lett. 72, 3218 (1994).CrossRefGoogle Scholar
  10. 10.
    S. Tarucha, T. Honda and T. Saku, Sol. St. Commun. 94, 413 (1995).CrossRefGoogle Scholar
  11. 11.
    A. Yacoby, H. L. Störmer, N. S. Wingreen, L. N. Pfeiffer, K. W. Baldwin and K. W. West, Phys. Rev. Lett. 77, 4612 (1996).CrossRefGoogle Scholar
  12. 12.
    M. Bockrath, D. H. Cobden, J. Lu, A. G. Rinzler, R. E. Smolley, L. Balents, P. L. McEuen, Nature 397, 598 (1999).CrossRefGoogle Scholar
  13. 13.
    X. G. Wen, Phys. Rev. B43, 11025 (1991); Int. J. Mod. Phys. B6, 1711 (1992).Google Scholar
  14. 14.
    C. de Chamon, X. G. Wen, Phys. Rev. Lett. 70, 2605 (1993).CrossRefGoogle Scholar
  15. 15.
    K. Moon, H. Yi, C. L. Kane, S. M. Girvin, M. P. A. Fisher, Phys. Rev. Lett. 71, 4381 (1993).CrossRefGoogle Scholar
  16. 16.
    F. P. Millikan, C. P. Umbach and R. A. Webb, Sol. St. Commun. 97, 309 (1996).CrossRefGoogle Scholar
  17. 17.
    A. M. Chang, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 77, 2538 (1996).CrossRefGoogle Scholar
  18. 18.
    M. Grayson, D. C. Tsui, L. N. Pfeiffer, K. W. West, A. M. Chang, Phys. Rev. Lett. 80, 1062 (1998).CrossRefGoogle Scholar
  19. 19.
    G. M. Auslaender, A. Yacoby, R. de Picciotto, K. W. Baldwin, L. N. Pfeiffer and K. W. West, cond-mat/9909138.Google Scholar
  20. 20.
    D. C. Hamilton, A.L. McWhorter, in: Light Scattering Spectra of Solids, edited by G. B. Wright, p. 309 (Springer Verlag, Berlin 1969).Google Scholar
  21. 21.
    F. A. Blum, Phys. Rev. B1, 1125 (1970).Google Scholar
  22. 22.
    M. V. Klein, in: Light Scattering in Solids, edited by M. Cardona, Topics in Appl. Phys. 8, p. 147 (Springer Verlag, Berlin 1975).Google Scholar
  23. 23.
    A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 67, 3298 (1991).CrossRefGoogle Scholar
  24. 24.
    A. R. Goñi et al., in Phonons in Semiconductor Nanostructures, edited by J. P. Leburton, J. Pascual and C. S. Torres, (Plenum, New York 1993), p. 287.Google Scholar
  25. 25.
    A. Schmeller, A. R. Goñi, A. Pinczuk, J. S. Weiner, J. M. Calleja, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. B49, 14778 (1994).Google Scholar
  26. 26.
    R. Strenz, U. Bockelmann, F. Hirler, G. Abstreiter, G. Böhm and G. Weimann, Phys. Rev. Lett. 73, 3022 (1994).CrossRefGoogle Scholar
  27. 27.
    C. Schüller, G. Biese, K. Keller, C. Steinebach, D. Heitmann, P. Grambow and K. Eberl, Phys. Rev. B54, R17304 (1996).Google Scholar
  28. 28.
    F. Perez, B. Jusserand, and B. Etienne, Physica E, in press (1999).Google Scholar
  29. 29.
    M. Sassetti, B. Kramer, Phys. Rev. Lett. 80, 1485 (1998); Eur. Phys. J. B 4, 357 (1998).CrossRefGoogle Scholar
  30. 30.
    M. Sassetti, B. Kramer, D. Fichtner, C. Schüller, E. Ulrichs, C. Steinebach, D. Heitmann, in: The Physics of Semiconductors, edited by D. Gershoni (World Scientific Publishers, Singapore 1999), CD-version, VII B 19.Google Scholar
  31. 31.
    G. Cuniberti, M. Sassetti and B. Kramer, Phys. Rev. B57, 1515 (1998)Google Scholar
  32. 32.
    M. Sassetti, F. Napoli, and B. Kramer, Phys. Rev. B 59, 7297 (1999); Eur. Phys. J. B, in press (1999).Google Scholar
  33. 33.
    E. Mariani, M. Sassetti and B. Kramer, Ann. Phys. (Leipzig) 8, 161 (1999).Google Scholar
  34. 34.
    T. Dittrich, B. Kramer, G. L. Ingold, P. Hänggi, G. Schön and W. Zwerger, Quantum Transport and Dissipation. (Wiley-VCH, Weinheim 1997).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Maura Sassetti
    • 1
  • Bernhard Kramer
    • 2
  1. 1.Dipartamento di FisicaINFM, Universitá di GenovaGenova
  2. 2.I. Institut für Theoretische PhysikUniversität HamburgHamburg

Personalised recommendations