Collective cyclotron modes in high-mobility two-dimensional hole systems in GaAs-(Ga, Al)As heterojunctions: I. Experiments at low magnetic fields and theory

Journal of Physics Condensed Matter

Volumn 9, Issue 15, 1997, Pages 3163-3179

  Cole, B E ^a   Peeters, F M ^b,d   Ardavan, A ^b   Hill, S O ^b,e   Singleton, J ^b   Batty, W ^c   Chamberlain, J M ^a   Polisskii, A ^b   Henini, M ^a   Cheng, T ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c UNIVERSITY OF YORK   (United Kingdom)

^d UNIVERSITY OF ANTWERP   (Belgium)

^e FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001626965     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/9/15/009     Document Type: Article

References (45)

1. Hawksworth S J, Hill S, Janssen T J B M, Chamberlain J M, Singleton J, Ekenberg U, Summers G M, Davies G A, Nicholas R J, Valadares E C, Henini M and Perenboom J A A J 1993 Semicond. Sci. Technol. 8 1465
2. Harrison P A, Hayden R K, Henini M, Valadares E C, Hughes O H and Eaves L 1992 J. Vac. Sci. Technol. B 10 2040
3. Hill S, Cole B E, Chamberlain J M, Singleton J, Rodgers P J, Janssen T J B M, Pattenden P A, Gallagher B L, Hill G and Henini M 1995 Physica B 211 440
4. Störmer H L, Schlesinger Z, Chang A, Tsui D C, Gossard A C and Wiegmann W 1983 Phys. Rev. Lett. 51 126 Hirakawa K, Zhao Y, Santos M B, Shayegan M and Tsui D C 1993 Phys. Rev. B 47 4076 and references therein
5. Störmer H L, Schlesinger Z, Chang A, Tsui D C, Gossard A C and Wiegmann W 1983 Phys. Rev. Lett. 51 126 Hirakawa K, Zhao Y, Santos M B, Shayegan M and Tsui D C 1993 Phys. Rev. B 47 4076 and references therein
6. Davies G A 1989 PhD Thesis University of Cambridge
7. F and kT mean that the data in reference [7] behave rather differently to those in the current paper. Nevertheless, it will be shown that the model which we have developed (see section 4) can also be used to treat the high-field cyclotron resonance spectra [7].
8. Cole B E, Batty W, Singleton J, Chamberlain J M, Li L, van Bockstal L, Imanaka Y, Shimamoto Y, Miura N, Peeters F M, Henini M and Cheng T 1997 J. Phys.: Condens. Matter at press
9. Henini M, Rodgers P J, Crump P A, Gallagher B L and Hill G 1995 J. Cryst. Growth 150 446
10. Goy P 1989 French Patent No CNRS-ENS Gross M 1992 US Patent No 5 119 035
11. Goy P 1989 French Patent No CNRS-ENS Gross M 1992 US Patent No 5 119 035
12. Poole C P Jr 1967 Electron Spin Resonance (New York: Interscience)
13. The somewhat asymmetric lineshapes in figure 1(c) are a consequence of the transmission configuration used, in which the influence of standing waves in the waveguides is unavoidable. The traces in figure 1(c) have been scaled to a similar size since the absolute magnitude of the cyclotron resonance depends strongly on the sample position relative to the standing-wave mode structure and is not consistent between samples and frequencies.
14. A comprehensive description of such effects is given by Nicholas R J 1994 Optical Properties of Semiconductors (Handbook on Semiconductors 2) ed T S Moss and M Balkanski (Amsterdam: North-Holland) section 3, ch 7
15. Hill S O 1994 DPhil Thesis University of Oxford
16. See Horst M, Merkt U and Germanova K G 1985 J. Phys. C: Solid State Phys. 18 1025 See also reference [12], chapter 7.
17. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
18. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
19. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
20. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
21. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
22. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
23. Abstreiter G, Koch J F, Goy P and Couder Y 1976 Phys. Rev. B 14 2494 Abstreiter G 1980 Surf. Sci. 98 413 Allen J S, Tsui D C and Dalton J V 1974 Phys. Rev. Lett. 32 107 Kotthaus J P, Abstreiter G and Koch J F 1976 Solid State Commun. 15 517 Kühlbeck H and Kotthaus J P 1975 Phys. Rev. Lett. 35 1019 Stallhofer P, Kotthaus J P and Koch J F 1976 Solid State Commun. 20 519 Kennedy T A, Wagner R J, McCombe B D and Tsui D C 1976 Surf. Sci. 58 185
24. Appel J and Overhauser A W 1978 Phys. Rev. B 18 758
25. Kohn W 1961 Phys. Rev. 123 1242
26. Peeters F M 1990 Phys. Rev. B 42 1486
27. Kukkonen C A and Maldague P F 1976 Phys. Rev. Lett. 37 782
28. Ting C S 1980 Surf. Sci. 98 437 Ting C S, Ganguly A K, and Lai W Y 1981 Phys. Rev. B 24 3371
29. Ting C S 1980 Surf. Sci. 98 437 Ting C S, Ganguly A K, and Lai W Y 1981 Phys. Rev. B 24 3371
30. Takada Y and Ando T 1978 J. Phys. Soc. Japan 44 905 Takada Y 1980 Surf. Sci. 98 442
31. Takada Y and Ando T 1978 J. Phys. Soc. Japan 44 905 Takada Y 1980 Surf. Sci. 98 442
32. Besson M, Gornik E, Englehardt C M and Weimann G 1992 Semicond. Sci. Technol. 7 1274 Michels J G, Hill S, Warburton R J, Summers G M, Gee P, Singleton J, Nicholas R J, Foxon C T and Harris J J 1994 Surf. Sci. 305 33 Michels J G, Daly M S, Gee P, Hill S, Nicholas R J, Singleton J, Summers G M, Warburton R J, Foxon C T and Harris J J 1996 Phys. Rev. B 54 13 807
33. Besson M, Gornik E, Englehardt C M and Weimann G 1992 Semicond. Sci. Technol. 7 1274 Michels J G, Hill S, Warburton R J, Summers G M, Gee P, Singleton J, Nicholas R J, Foxon C T and Harris J J 1994 Surf. Sci. 305 33 Michels J G, Daly M S, Gee P, Hill S, Nicholas R J, Singleton J, Summers G M, Warburton R J, Foxon C T and Harris J J 1996 Phys. Rev. B 54 13 807
34. Besson M, Gornik E, Englehardt C M and Weimann G 1992 Semicond. Sci. Technol. 7 1274 Michels J G, Hill S, Warburton R J, Summers G M, Gee P, Singleton J, Nicholas R J, Foxon C T and Harris J J 1994 Surf. Sci. 305 33 Michels J G, Daly M S, Gee P, Hill S, Nicholas R J, Singleton J, Summers G M, Warburton R J, Foxon C T and Harris J J 1996 Phys. Rev. B 54 13 807
35. Cooper N R and Chalker J T 1994 Phys. Rev. Lett. 72 2057
36. Hu C M, Friedrich T, Batke E, Köhler K and Ganser P 1995 Phys. Rev. B 52 12 090
37. Asano K and Ando T 1996 J. Phys. Soc. Japan 65 1191
38. See reference [12], chapter 7, and references therein. See also Kusters R M, Wittekamp F A, Singleton J, Perenboom J A A J, Jones G A C, Ritchie D A, Frost J E F and Andre J-P 1992 Phys. Rev. B 46 10 207 and references therein
39. Cole B E, Batty W, Imanaka Y, Shimamoto Y, Singleton J, Chamberlain J M, Miura N, Henini M and Cheng T 1995 J. Phys.: Condens. Matter 7 L675
40. Batty W, Cole B, Singleton J and Chamberlain J M 1997 to be published
41. Ekenberg U 1996 private communication
42. Crump P 1996 PhD Thesis University of Nottingham
43. Murzin S S, Dorozhkin S I, Landwehr G and Gossard A C 1996 Proc. 23rd Int. Conf. on the Physics of Semiconductors (Berlin, 1996) vol 3, ed M Scheffler and R Zimmerman (Singapore: World Scientific) p 2187
44. See Rubel H, Linfield E H, Hill N P R, Nicholls J T, Ritchie D A, Brown K M, Pepper M and Jones G A C 1996 Surf. Sci. 361+362 134 and references therein
45. Ekenburg U and Altarelli M 1985 Phys. Rev. B 32 3712