Oscillatory ac conductivity and photoconductivity of a two-dimensional electron gas: Quasiclassical transport beyond the Boltzmann equation [53]

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 16, 2004, Pages 1-10

  Dmitriev, I A ^a,c   Mirlin, A D ^a,b,d   Polyakov, D G ^a,c  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

^c IOFFE INSTITUTE   (Russian Federation)

^d PETERSBURG NUCLEAR PHYSICS INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL STRUCTURE; CONDUCTANCE; ELECTRON TRANSPORT; GAS TRANSPORT; MAGNETISM; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; PARTICULATE MATTER;

EID: 11244269499     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.165305     Document Type: Article

References (26)

1. M. A. Zudov, R. R. Du, J. A. Simmons, and J. L. Reno, Phys. Rev. B 64, 201311(R) (2001); P. D. Ye, L. W. Engel, D. C. Tsui, J. A. Simmons, J. R. Wendt, G. A. Vawter, and J. L. Reno, Appl. Phys. Lett. 79, 2193 (2001).
2. M. A. Zudov, R. R. Du, J. A. Simmons, and J. L. Reno, Phys. Rev. B 64, 201311(R) (2001); P. D. Ye, L. W. Engel, D. C. Tsui, J. A. Simmons, J. R. Wendt, G. A. Vawter, and J. L. Reno, Appl. Phys. Lett. 79, 2193 (2001).
3. R. G. Mani, J. H. Smet, K. von Klitzing, V. Narayanamurti, W. B. Johnson, and V. Umansky, Nature (London) 420, 646 (2002); Phys. Rev. B 69, 193304 (2004); cond-mat/0306388.
4. R. G. Mani, J. H. Smet, K. von Klitzing, V. Narayanamurti, W. B. Johnson, and V. Umansky, Nature (London) 420, 646 (2002); Phys. Rev. B 69, 193304 (2004); cond-mat/0306388.
5. M. A. Zudov, R. R. Du, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 90, 046807 (2003); C. L. Yang, M. A. Zudov, T. A. Knuuttila, R. R. Du, L. N. Pfeiffer, and K. W. West, ibid. 91, 096803 (2003).
6. M. A. Zudov, R. R. Du, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 90, 046807 (2003); C. L. Yang, M. A. Zudov, T. A. Knuuttila, R. R. Du, L. N. Pfeiffer, and K. W. West, ibid. 91, 096803 (2003).
7. S. I. Dorozhkin, JETP Lett. 77, 577 (2003).
8. R. L. Willett, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 93, 026804 (2004).
9. A. V. Andreev, I. L. Aleiner, and A. J. Millis, Phys. Rev. Lett. 91, 056803 (2003).
10. I. A. Dmitriev, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. Lett. 91, 226802 (2003).
11. I. A. Dmitriev, M. G. Vavilov, I. L. Aleiner, A. D. Mirlin, and D. G. Polyakov, cond-mat/0310668.
12. A. C. Durst, S. Sachdev, N. Read, and S. M. Girvin, Phys. Rev. Lett. 91, 086803 (2003).
13. V. I. Ryzhii, Sov. Phys. Solid State 11, 2078 (1970); V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Sov. Phys. Semicond. 20, 1299 (1986).
14. V. I. Ryzhii, Sov. Phys. Solid State 11, 2078 (1970); V. I. Ryzhii, R. A. Suris, and B. S. Shchamkhalova, Sov. Phys. Semicond. 20, 1299 (1986).
15. M. G. Vavilov and I. L. Aleiner, Phys. Rev. B 69, 035303 (2004).
16. To avoid confusion, it is worthwhile to note that the Shubnikov-de Haas oscillations of the dark resistivity were damped in Refs. 1-5 mostly by temperature rather than by disorder.
17. For smooth disorder, manifestations of the memory effects in the magnetoresistance and ac transport were studied in A. D. Mirlin, J. Wilke, F. Evers, D. G. Polyakov, and P. Wölfle, Phys. Rev. Lett. 83, 2801 (1999); J. Wilke, A. D. Mirlin, D. G. Polyakov, F. Evers, and P. Wölfle, Phys. Rev. B 61, 13774 (2000). Recently, the role of the memory effects in the photoconductivity, in the case of smooth disorder, was discussed in terms of the influence of microwave radiation on the collision integral in Ref. 11 and in I. L. Aleiner, B. L. Altshuler, and A. V. Andreev (unpublished). However, the memory effects manifest themselves in the photoconductivity much more strongly through a radiation-induced change of the electron distribution function.
18. For smooth disorder, manifestations of the memory effects in the magnetoresistance and ac transport were studied in A. D. Mirlin, J. Wilke, F. Evers, D. G. Polyakov, and P. Wölfle, Phys. Rev. Lett. 83, 2801 (1999); J. Wilke, A. D. Mirlin, D. G. Polyakov, F. Evers, and P. Wölfle, Phys. Rev. B 61, 13774 (2000). Recently, the role of the memory effects in the photoconductivity, in the case of smooth disorder, was discussed in terms of the influence of microwave radiation on the collision integral in Ref. 11 and in I. L. Aleiner, B. L. Altshuler, and A. V. Andreev (unpublished). However, the memory effects manifest themselves in the photoconductivity much more strongly through a radiation-induced change of the electron distribution function.
19. A. D. Mirlin, D. G. Polyakov, F. Evers, and P. Wölfle, Phys. Rev. Lett. 87, 126805 (2001).
20. V. Umansky, R. de Picciotto, and M. Heiblum, Appl. Phys. Lett. 71, 683 (1997).
21. G. Zala, B. N. Narozhny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001).
22. I. V. Gornyi and A. D. Mirlin, Phys. Rev. B 69, 045313 (2004).
23. (c) at all, if the inelastic coupling to the thermal bath in the presence of a driving force yields f(ε) whose shape is given by the Fermi distribution (but with an effective temperature different from that of the bath). This is the case, e.g., for the Fokker-Planck mechanism of Eqs. (12) and (15).
24. Similar oscillations of the ac conductivity were studied for the case of a random antidot array, where the memory effects are still stronger, in D. G. Polyakov, F. Evers, and I. V. Gornyi, Phys. Rev. B 65, 125326 (2002). The antidot-array model also describes correctly rare strong short-ranged scatterers in the absence of background smooth disorder.
25. ω.
26. ee ≪ 1.