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Microwave photoresistance of a two-dimensional electron gas in a ballistic microbar

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Abstract

The effect of millimeter microwave radiation on the electron transport of two-dimensional (2D) ballistic microbars formed on the basis of individual GaAs quantum wells at a temperature of T = 4.2 K in magnetic fields B < 0.6 T has been investigated. Differences have been revealed in the magnetic field dependences of the microwave photoresistance of a 2D electron gas in Hall bars with a length L and a width W for the cases L, W > l p and L, W < l p , where l p is the electron mean free path for momentum. The microwave photoresistance in macroscopic bars (L, W > l p ) is a periodic alternating function of the inverse magnetic field; in microbars (L, W < l p ), it is a periodic positive function of 1/B. The experimental results indicate that the mechanisms of the microwave photoresistance of a 2D electron gas are different for macroscopic and microscopic bars.

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References

  1. M. A. Zudov, R. R. Du, J. A. Simmons, and J. L. Reno, Phys. Rev. B 64, 201311(R) (2001).

  2. I. A. Dmitriev, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. B 75, 2445320 (2007).

    Google Scholar 

  3. T. A. Sedrakyan and M. E. Raikh, Phys. Rev. Lett. 100, 086808 (2008).

    Google Scholar 

  4. M. Khodas and M. G. Vavilov, Phys. Rev. B 78, 245319 (2008).

    Google Scholar 

  5. A. A. Bykov, D. R. Islamov, A. V. Goran, et al., Pis’ma Zh. Eksp. Teor. Fiz. 87, 563 (2008) [JETP Lett. 87, 477 (2008)].

    Google Scholar 

  6. I. V. Pechenezhskii and S. I. Dorozhkin, Pis’ma Zh. Eksp. Teor. Fiz. 88, 137 (2008) [JETP Lett. 88, 127 (2008)].

    Google Scholar 

  7. I. V. Andreev, V. M. Muraviev, I. V. Kukushkin, et al., Pis’ma Zh. Eksp. Teor. Fiz. 88, 707 (2008) [JETP Lett. 88, 616 (2008)].

    Google Scholar 

  8. A. T. Hatke, M. A. Zudov, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 102, 066804 (2009).

    Google Scholar 

  9. X. L. Lei, Phys. Rev. B 79, 115308 (2009).

    Google Scholar 

  10. R. G. Mani, J. H. Smet, K. von Klitzing, et al., Nature 420, 646 (2002).

    Article  ADS  Google Scholar 

  11. M. A. Zudov, R. R. Du, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 90, 046807 (2003).

    Google Scholar 

  12. A. V. Andreev, I. L. Aleiner, and A. J. Millis, Phys. Rev. Lett. 91, 056803 (2003).

    Google Scholar 

  13. R. L. Willett, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 93, 026804 (2004).

    Google Scholar 

  14. J. Inarrea and G. Platero, Phys. Rev. Lett. 94, 016806 (2005).

    Google Scholar 

  15. A. A. Bykov, A. K. Bakarov, D. R. Islamov, et al., Pis’ma Zh. Eksp. Teor. Fiz. 84, 466 (2006) [JETP Lett. 84, 391 (2006)].

    Google Scholar 

  16. A. D. Chepelianskii, A. S. Pikovsky, and D. L. Shepelyansky, Eur. Phys. J. B 60, 225 (2007).

    Article  ADS  Google Scholar 

  17. A. A. Bykov, D. R. Islamov, D. V. Nomokonov, and A. K. Bakarov, Pis’ma Zh. Eksp. Teor. Fiz. 86, 695 (2007) [JETP Lett. 86, 608 (2007)].

    Google Scholar 

  18. I. G. Finkler and B. I. Halperin, Phys. Rev. B 79, 085315 (2009).

    Google Scholar 

  19. V. I. Ryzhii, Fiz. Tverd. Tela 11, 2577 (1969) [Sov. Phys. Solid State 11, 2078 (1969)].

    Google Scholar 

  20. S. I. Dorozhkin, Pis’ma Zh. Eksp. Teor. Fiz. 77, 681 (2003) [JETP Lett. 77, 577 (2003)].

    Google Scholar 

  21. X. L. Lei and S. Y. Liu, Phys. Rev. Lett. 91, 226805 (2003).

    Google Scholar 

  22. A. A. Koulakov and M. E. Raikh, Phys. Rev. B 68, 115324 (2003).

    Google Scholar 

  23. S. A. Mikhailov, Phys. Rev. B 70, 165311 (2004).

    Google Scholar 

  24. I. A. Dmitriev, M. G. Vavilov, I. L. Aleiner, et al., Phys. Rev. B 71, 115316 (2005).

    Google Scholar 

  25. A. Kashuba, Pis’ma Zh. Eksp. Teor. Fiz. 83, 351 (2006) [JETP Lett. 83, 293 (2006)].

    Google Scholar 

  26. V. A. Volkov and E. E. Takhtamirov, Zh. Eksp. Teor. Fiz. 131, 681 (2007) [JETP 104, 602 (2007)].

    Google Scholar 

  27. C. W. Beenakker and H. van Houten, Solid State Phys. 44, 1 (1991).

    Article  Google Scholar 

  28. A. D. Chepelianskii and D. L. Shepelyansky, arXiv:condmat/0905.0593v1 (2009).

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Original Russian Text © A.A. Bykov, 2009, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 89, No. 11, pp. 676–680.

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Bykov, A.A. Microwave photoresistance of a two-dimensional electron gas in a ballistic microbar. Jetp Lett. 89, 575–578 (2009). https://doi.org/10.1134/S0021364009110101

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