Weak localization, interaction effects, and the metallic phase in p-SiGe

Physical Review B - Condensed Matter and Materials Physics

Volumn 65, Issue 12, 2002, Pages 1-10

  Coleridge, P T ^a   Sachrajda, A S ^a   Zawadzki, P ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038331541     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.125328     Document Type: Article

References (51)

1. For a review, seeE. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. 73, 251 (2001).
2. E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979).
3. V. Dobrosavljevic, E. Abrahams, E. Miranda, and S. Chakravarty, Phys. Rev. Lett. 79, 455 (1997).
4. D. Simonian, S. V. Kravchenko, and M. P. Sarachik, Phys. Rev. B 55, R13 421 (1997).
5. For a review, seeElihu Abrahams, Ann. Phys. (Leipzig) 8, 7 (1999).
6. A. M. Finkel’stein, Z. Phys. B: Condens. Matter 56, 189 (1984);
7. A. M. Finkel’stein, Proceedings of the 24th International Conference on The Physics of Semiconductors, edited by D. Gershoni (World Scientific, Singapore, 1999), p. 131.
8. C. Castellani, C. Di Castro, P. A. Lee, and M. Ma, Phys. Rev. B 30, 527 (1984).
9. C. Castellani, C. Di Castro, and P. A. Lee, Phys. Rev. B 57, R9381 (1998).
10. See, e.g., B. L. Altshuler and D. L. Maslov, Phys. Rev. Lett. 82, 145 (1999);
11. B. L. Altshuler, D. L. Maslov, and V. M. Pudalov, Phys. Status Solidi B 218, 193 (2000);
12. S. Das Sarma and H. Y. Hwang, Phys. Rev. Lett. 83, 164 (1999).
13. M. Y. Simmons, A. R. Hamilton, M. Pepper, E. H. Linfield, P. D. Rose, and D. A. Ritchie, Phys. Rev. Lett. 84, 2489 (2000).
14. V. Senz, T. Ihn, T. Heinzel, K. Ensslin, G. Dehlinger, D. Grützmacher, and U. Gennser, Phys. Rev. Lett. 85, 4357 (2000).
15. Preliminary reports of some of this work have been published elsewhere: P. T. Coleridge, P. Zawadzki, A. Sachrajda, Y. Feng, and R. L. Williams, Proc. XXXIV Rencontres de Moriond XXIX, edited by C. Glatti, M. Sanquer, and J. Tran Thanh Van (EDP Sciences, Les Ulis, France, 1999);
16. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001).
17. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak (North-Holland, Amsterdam, 1985), p. 1.
18. H. Fukuyam, in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak (North-Holland, Amsterdam, 1985), p. 155.
19. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
20. D. J. Bishop, R. C. Dynes, and D. C. Tsui, Phys. Rev. B 26, 773 (1982).
21. M. S. Burdis and C. C. Dean, Phys. Rev. B 38, 3269 (1988).
22. S. Hikami, A. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980).
23. G. M. Minkov, A. V. Germanenko, V. A. Larionova, S. A. Negasgev, and I. V. Gornyi, Phys. Rev. B 61, 13 164 (2000).
24. A. Houghton, J. R. Senna, and S. C. Ying, Phys. Rev. B 25, 2196 (1982).
25. P. T. Coleridge, R. L. Williams, Y. Feng, and P. Zawadzki, Phys. Rev. B 56, R12 764 (1997).
26. J. C. Hensel and G. Feher, Phys. Rev. 129, 1041 (1963).
27. R. People, Phys. Rev. B 32, 1405 (1985).
28. P. T. Coleridge, A. S. Sachrajda, H. Lafontaine, and Y. Feng, Phys. Rev. B 54, 14 518 (1996).
29. H. Hasegawa, Phys. Rev. 129, 1029 (1963).
30. S.-H. Song, D. C. Tsui, and F. F. Fang, Solid State Commun. 96, 61 (1995).
31. S. L. Wong, D. Kinder, R. J. Nicholas, T. E. Whall, and R. Kubiak, Phys. Rev. B 51, 13 499 (1995).
32. E. Glaser, J. M. Trombetta, T. A. Kennedy, S. M. Prokeso, and O. J. Glembocki, Phys. Rev. Lett. 65, 1247 (1990).
33. Model AVS-47 resistance bridge, PICOWATT RV-Elektroniikka Oy, Finland.
34. C. J. Emeleus, T. E. Whall, D. W. Smith, N. L. Mattey, R. A. Kubiak, E. H. C. Parker, and M. J. Kearney, Phys. Rev. B 47, 10 016 (1993).
35. R. Cheung, L. J. Geerligs, J. Caro, A. H. Verbruggen, K. Werner, and S. Radelaar, Physica B 194-196, 1225 (1994).
36. V. Senz, T. Heinzel, Y. Ihn, K. Ennslin, G. Dehlinger, D. Grutzmacher, and U. Gennser, Phys. Rev. B 61, R5082 (2000).
37. It is important to be sure that any field or temperature dependence measured in the Hall coefficient is not a spurious effect associated with feedthrough of a small amount of the (formula presented) term. The zero of magnetic field can be accurately determined and in all cases the offset in (formula presented) at (formula presented) is subtracted from the (formula presented) is calculated. In sample B, where feedthrough effects are most likely to be important, this offset corresponds to 0.4% of (formula presented) and has the expected temperature dependence. While subtracting this term eliminates most of any feedthrough there is the possibility a small B-dependent term may remain. Up to 0.2 T the maximum observed magnetoresistance in (formula presented) is about 2.5% (at 0.28 K) corresponding to a contribution to the measured (formula presented). This may be compared with the experimentally observed deviation from linearity of about 85 (formula presented) at 0.2 T. At lower fields any B-dependent feedthrough was eliminated by making cubic fits to the data, over a field range of (formula presented), with the quadratic term set to zero. That is, the fit was forced to have the asymmetry required of the Hall resistivity and reject any B-dependent (formula presented) contribution. A similar analysis for sample A shows even smaller effects so for the field and temperature dependences of (formula presented) reported in Figs. 77 and 88, only a very small contribution, certainly less than 0.1% of (formula presented) might be attributed to spurious feedthrough of a (formula presented) term.
38. Y. Y. Proskuryakov, A. K. Savchenko, S. S. Safonov, M. Pepper, M. Y. Simmons, and D. A. Ritchie, Phys. Rev. Lett. 86, 4895 (2001).
39. A. Gold and V. T. Dolgopolov, J. Phys. C 18, L463 (1985);
40. A. Gold, V. T. DolgopolovPhys. Rev. B 33, 1076 (1986).
41. S. Das Sarma, Phys. Rev. B 33, 5401 (1986);
42. S. Das Sarma and E. H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
43. A. D. Plews, N. L. Mattey, P. J. Phillips, E. H. C. Parker, and T. E. Whall, Semicond. Sci. Technol. 12, 1231 (1997).
44. V. Senz, U. Dötsch, U. Gennser, T. Ihn, T. Heinzel, K. Ensslin, R. Hartmann, and D. Grützmacher, Ann. Phys. (Leipzig) 8, SI 237 (1999);
45. V. Senz, U. Dötsch, U. Gennser, T. Ihn, T. Heinzel, K. Ensslin, R. Hartmann, D. Grützmacher.
46. G. Brunthaler, A. Prinz, G. Bauer, and V. M. Pudalov, Phys. Rev. Lett. 87, 096802 (2001).
47. B. L. Altshuler, A. G. Aronov, and D. E. Khmelnitskii, J. Phys. C 15, 7367 (1982);
48. I. L. Aleiner, B. L. Altshuler, and M. E. Gershenson, Waves Random Media 9, 201 (1999).
49. B. N. Narozhny (private communication).
50. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 201201(R) (2001).
51. The theoretical curves shown in Fig. 1010 have been calculated assuming the crossover functions (formula presented) and (formula presented) are 1. Over the range shown this will lead to small errors, of order 0.1 (formula presented).