Microwave photoconductivity of two-dimensional electron systems with unidirectional periodic modulation

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 4, 2005, Pages

  Dietel, Jürgen ^a   Glazman, Leonid I ^b   Hekking, Frank W J ^c   Von Oppen, Felix ^a,d  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF MINNESOTA   (United States)

^c UNIV GRENOBLE ALPES   (France)

^d WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ARTICLE; CONDUCTANCE; ELECTRON; GAS; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MICROWAVE RADIATION; RADIATION ABSORPTION;

EID: 15744395130     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.045329     Document Type: Article

References (31)

1. R. G. Mani, J. H. Smet, K. von Klitzing, V. Narayanamurti, W. B. Johnson, and V. Umansky, Nature (London) 420, 646 (2002).
2. M. A. Zudov, R. R. Du, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 90, 046807 (2003).
3. C. L. Yang, M. A. Zudov, T. A. Knuuttila, R. R. Du, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 91, 096803 (2003).
4. S. I. Dorozhkin, JETP Lett. 77, 577 (2003).
5. R. L. Willett, K. W. West, and L. N. Pfeiffer, Bull. Am. Phys. Soc. 48, 459 (2003).
6. A. V. Andreev, I. L. Aleiner, and A. J. Millis, Phys. Rev. Lett. 91, 056803 (2003).
7. F. S. Bergeret, B. Huckestein, and A. F. Volkov, Phys. Rev. B 67, 241303 (2003).
8. A. Durst, S. Sachdev, N. Read, and S. M. Girvin, Phys. Rev. Lett. 91, 086803 (2003).
9. J. Shi and X. C. Xie, Phys. Rev. Lett. 91, 086801 (2003).
10. X. L. Lei and S. Y. Liu, Phys. Rev. Lett. 91, 226805 (2003).
11. M. G. Vavilov and I. L. Aleiner, Phys. Rev. B 69, 035303 (2004).
12. V. I. Ryzhii, Fiz. Tverd. Tela (Leningrad) 11, 2577 (1969) [Sov. Phys. Solid State 11, 2078 (1970)]; V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Fiz. Tekh. Poluprovodn. (S.-Peterburg) 20, 2078 (1986) [Sov. Phys. Semicond. 20, 1299 (1986)].
13. V. I. Ryzhii, Fiz. Tverd. Tela (Leningrad) 11, 2577 (1969) [Sov. Phys. Solid State 11, 2078 (1970)]; V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Fiz. Tekh. Poluprovodn. (S.-Peterburg) 20, 2078 (1986) [Sov. Phys. Semicond. 20, 1299 (1986)].
14. V. I. Ryzhii, Fiz. Tverd. Tela (Leningrad) 11, 2577 (1969) [Sov. Phys. Solid State 11, 2078 (1970)]; V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Fiz. Tekh. Poluprovodn. (S.-Peterburg) 20, 2078 (1986) [Sov. Phys. Semicond. 20, 1299 (1986)].
15. V. I. Ryzhii, Fiz. Tverd. Tela (Leningrad) 11, 2577 (1969) [Sov. Phys. Solid State 11, 2078 (1970)]; V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Fiz. Tekh. Poluprovodn. (S.-Peterburg) 20, 2078 (1986) [Sov. Phys. Semicond. 20, 1299 (1986)].
16. I. A. Dmitriev, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. Lett. 91, 226802 (2003).
17. I. A. Dmitriev, M. G. Vavilov, I. L. Aleiner, A. D. Mirlin, and D. G. Polyakov, cond-mat/03110668 (unpublished).
18. Dynamic periodic potentials (surface-acoustic waves) have been considered in a quasiclassical approach in J. P. Robinson, M. P. Kennett, N. R. Cooper, and V. I. Fal'ko, Phys. Rev. Lett. 93, 036804 (2004).
19. R. L. Willett, K. W. West, and L. N. Pfeiffer, Phys. Rev. Lett. 78, 4478 (1997); J. H. Smet, K. von Klitzing, D. Weiss, and W. Wegscheider, ibid. 80, 4538 (1998); F. von Oppen, A. Stern, and B. I. Halperin, ibid. 80, 4494 (1998); A. D. Mirlin, P. Wlfle, Y. Levinson, and O. Entin-Wohlman, ibid. 81, 1070 (1998).
20. R. L. Willett, K. W. West, and L. N. Pfeiffer, Phys. Rev. Lett. 78, 4478 (1997); J. H. Smet, K. von Klitzing, D. Weiss, and W. Wegscheider, ibid. 80, 4538 (1998); F. von Oppen, A. Stern, and B. I. Halperin, ibid. 80, 4494 (1998); A. D. Mirlin, P. Wlfle, Y. Levinson, and O. Entin-Wohlman, ibid. 81, 1070 (1998).
21. R. L. Willett, K. W. West, and L. N. Pfeiffer, Phys. Rev. Lett. 78, 4478 (1997); J. H. Smet, K. von Klitzing, D. Weiss, and W. Wegscheider, ibid. 80, 4538 (1998); F. von Oppen, A. Stern, and B. I. Halperin, ibid. 80, 4494 (1998); A. D. Mirlin, P. Wlfle, Y. Levinson, and O. Entin-Wohlman, ibid. 81, 1070 (1998).
22. R. L. Willett, K. W. West, and L. N. Pfeiffer, Phys. Rev. Lett. 78, 4478 (1997); J. H. Smet, K. von Klitzing, D. Weiss, and W. Wegscheider, ibid. 80, 4538 (1998); F. von Oppen, A. Stern, and B. I. Halperin, ibid. 80, 4494 (1998); A. D. Mirlin, P. Wlfle, Y. Levinson, and O. Entin-Wohlman, ibid. 81, 1070 (1998).
23. D. Weiss, K. von Klitzing, K. Ploog, and G. Weimann, Europhys. Lett. 8, 179 (1989).
24. R. R. Gerhardts, D. Weiss, and K. von Klitzing, Phys. Rev. Lett. 62, 1173 (1989); C. Zhang and R. R. Gerhardts, Phys. Rev. B 41, 12 850 (1990).
25. R. R. Gerhardts, D. Weiss, and K. von Klitzing, Phys. Rev. Lett. 62, 1173 (1989); C. Zhang and R. R. Gerhardts, Phys. Rev. B 41, 12 850 (1990).
26. R. W. Winkler, J. P. Kotthaus, and K. Ploog, Phys. Rev. Lett. 62, 1177 (1989).
27. C. W. J. Beenakker, Phys. Rev. Lett. 62, 2020 (1989).
28. We assume that microwave-assisted disorder scattering is sufficiently rare so that off-diagonal elements of the density matrix decay between scattering events.
29. This approach to computing currents in strong magnetic fields goes back to S. Titeica, Ann. Phys. (Leipzig) 22, 129 (1935) for three-dimensional samples without static disorder.
30. J. Dietel (unpublished).
31. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher Transcendental Function (McGraw Hill, New York, 1953), Vol. II.