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The European Physical Journal B

, Volume 60, Issue 1, pp 29–43 | Cite as

Charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies

  • M. PletyukhovEmail author
  • S. Konschuh
Mesoscopic and Nanoscale Systems

Abstract.

We analytically evaluate charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies. On the basis of our exact expressions we discuss the accuracy of the long-wavelength and the quasiclassical approximations. We also derive the static limit of spin susceptibilities and demonstrate, in particular, how the Kohn-like anomalies in their derivatives are related to the spin-orbit modification of the Ruderman-Kittel-Kasuya-Yosida interaction. Taking into account screening and exchange effects of the Coulomb interaction, we describe the collective charge and spin density excitation modes which appear to be coupled due to nonvanishing spin-charge response function.

PACS.

71.70.Ej Spin-orbit coupling 73.20.Mf Collective excitations (including excitons, polarons, plasmons and other charge-density excitations) 73.21.-b Electron states and collective excitations in multilayers, quantum wells, mesoscopic, and nanoscale systems 

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References

  1. S.A. Wolf et al., Science 294, 1488 (2001) CrossRefGoogle Scholar
  2. I. Žutić, J. Fabian, S. Das Sarma, Rev. Mod. Phys. 76, 323 (2004) CrossRefADSGoogle Scholar
  3. Y.A. Bychkov, E.I. Rashba, J. Phys. C 17, 6039 (1984) CrossRefADSGoogle Scholar
  4. J. Nitta, T. Akazaki, H. Takayanagi, T. Enoki, Phys. Rev. Lett. 78, 1335 (1997) CrossRefADSGoogle Scholar
  5. T. Koga, J. Nitta, T. Akazaki, H. Takayanagi, Phys. Rev. Lett. 89, 046801 (2002) CrossRefADSGoogle Scholar
  6. E.G. Mishchenko, B.I. Halperin, Phys. Rev. B 68, 045317 (2003) CrossRefADSGoogle Scholar
  7. E.G. Mishchenko, A.V. Shytov, B.I. Halperin, Phys. Rev. Lett. 93, 226602 (2004) CrossRefADSGoogle Scholar
  8. A. Burkov, A.S. Nunez, A.H. MacDonald, Phys. Rev. B 70, 155308 (2004) CrossRefADSGoogle Scholar
  9. A.G. Mal'shukov, L.Y. Wang, C.S. Chu, K.A. Chao, Phys. Rev. Lett. 95, 146601 (2005) CrossRefADSGoogle Scholar
  10. R. Raimondi, C. Gorini, P. Schwab, M. Dzierzawa, Phys. Rev. B 74, 035340 (2006) CrossRefADSGoogle Scholar
  11. M. Pletyukhov, Phys. Rev. B 75, 155335 (2007) CrossRefADSGoogle Scholar
  12. A. Shnirman, I. Martin, Europhys. Lett. 78, 27001 (2007) CrossRefADSGoogle Scholar
  13. L.I. Magarill, A.V. Chaplik, M.V. Éntin, JETP 92, 153 (2001) CrossRefADSGoogle Scholar
  14. E. Rashba, Phys. Rev. B 70, 161201(R) (2004) CrossRefADSGoogle Scholar
  15. S.I. Erlingsson, J. Schliemann, D. Loss, Phys. Rev. B 71, 035319 (2005) CrossRefADSGoogle Scholar
  16. J.A. Maytorena, C. López-Bastidas, F. Mireles, Phys. Rev. B 74, 235313 (2006) CrossRefADSGoogle Scholar
  17. A. Brataas, A.G. Mal'shukov, K.A. Chao, Phys. Rev. B 56, R1684 (1997) Google Scholar
  18. C.A. Ullrich, M.E. Flatté, Phys. Rev. B 66, 205305 (2002) CrossRefADSGoogle Scholar
  19. W. Xu, Appl. Phys. Lett. 82, 724 (2003) CrossRefADSGoogle Scholar
  20. X.F. Wang, Phys. Rev. B 72, 085317 (2005) CrossRefADSGoogle Scholar
  21. G. Gumbs, Phys. Rev. B 72, 165351 (2005) CrossRefADSGoogle Scholar
  22. M.S. Kushwaha, S.E. Ulloa, Phys. Rev. B 73, 205306 (2006) CrossRefADSGoogle Scholar
  23. M. Pletyukhov, V. Gritsev, Phys. Rev. B 74, 045307 (2006) CrossRefADSGoogle Scholar
  24. F. Stern, Phys. Rev. Lett. 18, 546 (1967) CrossRefADSGoogle Scholar
  25. H. Imamura, P. Bruno, Y. Utsumi, Phys. Rev. B 69, 121303(R) (2004) CrossRefADSMathSciNetGoogle Scholar
  26. M.A. Ruderman, C. Kittel, Phys. Rev. 96, 99 (1954) CrossRefADSGoogle Scholar
  27. T. Kasuya, Prog. Theor. Phys. 16, 45 (1956) zbMATHCrossRefADSGoogle Scholar
  28. K. Yosida, Phys. Rev. 106, 893 (1957) CrossRefADSGoogle Scholar
  29. G.D. Mahan, Many-Particle Physics (Plenum Press, New York, 1990) Google Scholar
  30. I.S. Gradshteyn, I.M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1994) Google Scholar
  31. V.M. Edelstein, Solid State Commun. 73, 233 (1990) CrossRefGoogle Scholar
  32. E.I. Rashba, Al.L. Efros, Appl. Phys. Lett. 83, 5295 (2003) CrossRefADSGoogle Scholar
  33. A. Shekhter, M. Khodas, A.M. Finkel'stein, Phys. Rev. B 71, 165329 (2005) CrossRefADSGoogle Scholar
  34. D.C. Hamilton, A.L. McWhorter, in Light Scattering Spectra of Solids, edited by G.B. Wright (Springer, New York, 1969) Google Scholar
  35. Guang-Hong Chen, M.E. Raikh, Phys. Rev. B 60, 4826 (1999) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Institut für Theoretische Festkörperphysik and Center for Functional Nanostructures, Universität KarlsruheKarlsruheGermany
  2. 2.Institut für Theoretische Physik AAachenGermany
  3. 3.Institut für Theoretische Physik, Universität RegensburgRegensburgGermany

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