Spin-resolved commensurability oscillations

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 19, 1999, Pages 13776-13779

  Winkler, R ^c   Rossler U ^b  

^a Princeton University   (United States)

^b UNIVERSITY OF REGENSBURG   (Germany)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542511629     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.13776     Document Type: Article

References (29)

1. H. L. Störmer, Z. Schlesinger, A. Chang, D. C. Tsui, A. C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 51, 126 (1983).
2. J.P. Eisenstein, H. L. Störmer, V. Narayanamurti, A. C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 53, 2579 (1984).
3. B. Jusserand, D. Richards, H. Peric, and B. Etienne, Phys. Rev. Lett. 69, 848 (1992).
4. P. D. Dresselhaus, C. M. A. Papavassiliou, R. G. Wheeler, and R. N. Sacks, Phys. Rev. Lett. 68, 106 (1992).
5. C. Gauer, M. Hartung, A. Wixforth, J. P. Kotthaus, B. Brar, and H. Kroemer, Surf. Sci. 361/362, 472 (1996).
6. M. Schultz, F. Heinrichs, U. Merkt, T. Colin, T. Skauli, and S. Løvold, Semicond. Sci. Technol. 11, 1168 (1996).
7. J. Nitta, T. Akazaki, and H. Takayanagi, Phys. Rev. Lett. 78, 1335 (1997).
8. U. Ekenberg and M. Altarelli, Phys. Rev. B 30, 3569 (1984);
9. Phys. Rev. BU. EkenbergM. Altarelli32, 3712 (1985);
10. Phys. Rev. BD. A. Broido, and L. J. Sham, 31, 888 (1985);
11. T. Ando, J. Phys. Soc. Jpn. 54, 1528 (1985).
12. For a review of early work, see U. Rössler, F. Malcher, and G. Lommer, in High Magnetic Fields in Semiconductor Physics, edited by G. Landwehr, Springer Series in Solid-State Sciences Vol. 87 (Springer-Verlag, Berlin, 1989), p. 376.
13. S. Datta and B. Das, Appl. Phys. Lett. 56, 665 (1989).
14. A. G. Aronov and Y. B. Lyanda-Geller, Phys. Rev. Lett. 70, 343 (1993);
15. Phys. Rev. Lett.A. F. Morpurgo, J. P. Heida, T. M. Klapwijk, B. J. van Wees, and G. Borghs, 80, 1050 (1998).
16. J. P. Lu, J. B. Yau, S. P. Shukla, M. Shayegan, L. Wissinger, U. Rössler, and R. Winkler, Phys. Rev. Lett. 81, 1282 (1998).
17. D. Weiss, K. von Klitzing, K. Ploog, and G. Weimann, Europhys. Lett. 8, 179 (1989);
18. R. W. Winkler, J. P. Kotthaus, and K. Ploog, Phys. Rev. Lett. 62, 1177 (1989).
19. C. W. J. Beenakker, Phys. Rev. Lett. 62, 2020 (1989);
20. Phys. Rev. Lett.R. R. Gerhardts, D. Weiss, and K. v. Klitzing, 62, 1173 (1989).
21. The total density is deduced from the relation: (Formula presented) where (Formula presented) is the magnetic field at which the (Formula presented) quantum Hall effect resistivity minimum occurs.
22. R. Winkler and U. Rössler, Phys. Rev. B 48, 8918 (1993).
23. U. Rössler, Solid State Commun. 49, 943 (1984);
24. H. Mayer and U. Rössler, Phys. Rev. B 44, 9048 (1991).
25. J. Menendez, A. Pinczuk, D. J. Werder, A. C. Gossard, and J. H. English, Phys. Rev. B 33, 8863 (1986).
26. For similar contour plots, see G. Goldoni and F. Peeters, Phys. Rev. B 51, 17 806 (1995).
27. This is because the semiclassical trajectory of the ballistic carriers in real space under the influence of a perpendicular magnetic has the same shape as the constant energy contour in k space but is rotated by (Formula presented) with respect to the latter. Also, see G. Goldoni and A. Fasolino, Phys. Rev. B 44, 8369 (1991).
28. J. P. Lu and M. Shayegan, Phys. Rev. B 58, 1138 (1998).
29. We emphasize that our measured (Formula presented) are of the order of impurity scattering times. Spin-flip scattering times are typically expected to be much longer. However, because of the very strong spin-orbit coupling and band mixing in GaAs 2D holes, spin-flip scattering, mediated by impurity scattering, can happen in ps time scale in our sample. Indeed, according to calculations by R. Ferreira and G. Bastard [ Phys. Rev. B 43, 9687 (1991)], for the Fermi wave vector of our sample (Formula presented), spin-flip time can be (Formula presented) ps, comparable to our measured scattering time.