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Magneto-Oscillations and Anomalous Current States in a Photoexcited Electron Gas on Liquid Helium

Abstract

The paper reviews a novel class of phenomena observed recently in the two-dimensional (2D) electron system formed on the free surface of liquid helium in the presence of a magnetic field directed normally and exposed to microwave radiation. The distinctive feature of these nonequilibrium phenomena is magnetoconductivity oscillations induced by inter-subband (out-of-plane) and intra-subband (in-plane) microwave excitations. The conductivity magneto-oscillations induced by intra-subband excitation are similar to remarkable microwave-induced resistance oscillations (MIRO) reported for semiconductor heterostructures. Investigations of microwave-induced conductivity oscillations on liquid helium helped with understanding of the origin of MIRO. Much stronger microwave-induced conductivity oscillations were observed and well described theoretically for resonant inter-subband microwave excitation. At strong powers, such excitation leads to zero-resistance states, the in-plane redistribution of electrons, self-generated audio-frequency oscillations, and incompressible states. These phenomena are caused by unusual current states of the 2D electron system formed under resonant microwave excitation.

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References

  1. M.W. Cole, M.H. Cohen, Phys. Rev. Lett. 23, 1238 (1969)

    ADS  Article  Google Scholar 

  2. V.B. Shikin, Soviet Phys. JETP 31, 936 (1970) [Zh. Eksp. Teor. Fiz. 58, 1748 (1970)]

  3. P. Leiderer, M. Wanner, Phys. Letters A 73, 189 (1979)

    ADS  Article  Google Scholar 

  4. V.S. Edel’man, Sov. Phys. Usp. 23, 227 (1980) [Usp. Fiz. Nauk 130, 675 (1980)]

  5. H. Etz, W. Gombert, W. Idstein, P. Leiderer, Phys. Rev. Lett. 53, 2567 (1984)

    ADS  Article  Google Scholar 

  6. T. Ando, A.B. Fowler, F. Stern, Rev. Mod. Phys. 54, 437 (1982)

    ADS  Article  Google Scholar 

  7. K. von Klitzing, G. Dorda, M. Pepper, Phys. Rev. Lett. 45, 494 (1980)

    ADS  Article  Google Scholar 

  8. D.C. Tsui, H.L. Stormer, A.C. Gossard, Phys. Rev. Lett. 48, 1559 (1982)

    ADS  Article  Google Scholar 

  9. C.C. Grimes, G. Adams, Phys. Rev. Lett. 42, 795 (1979)

    ADS  Article  Google Scholar 

  10. Yu.P. Monarkha, V.E. Syvokon, Low Temp. Phys. 38, 1067 (2012) [Fiz. Nizk. Temp. 38, 1355 (2012)]

  11. E.Y. Andrei, Electrons on Helium and Other Cryogenic Substrates (Kluwer Academic, Dordrecht, 1997)

    Google Scholar 

  12. Yu.P. Monarkha, E. Teske, P. Wyder, Phys. Rep. 370, 1 (2002)

  13. Yu.P. Monarkha, K. Kono, Two-Dimensional Coulomb Liquids and Solids (Springer-Verlag, Berlin, 2004)

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

    ADS  Article  Google Scholar 

  15. P.D. Ye, L.W. Engel, D.C. Tsui, J.A. Simmons, J.R. Wendt, G.A. Vawter, J.L. Reno, Appl. Phys. Lett. 79, 2193 (2001)

    ADS  Article  Google Scholar 

  16. R. Mani, J.H. Smet, K. von Klitzing, V. Narayanamurti, W.B. Johnson, V. Umansky, Nature (London) 420, 646 (2002)

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

  19. V.I. Ryzhii, Sov. Phys. Solid State 11, 2078 (1970) [Fiz. Tverd. Tela (Leningrad) 11, 2577 (1969)]

  20. A.C. Durst, S. Sachdev, N. Read, S.M. Girvin, Phys. Rev. Lett. 91, 086803 (2003)

    ADS  Article  Google Scholar 

  21. V. Ryzhii, A. Chaplik, R. Suris, JETP Letters 80, 363 (2004) [Pis’ma v ZhETF 80, 412 (2004)]

  22. I.A. Dmitriev, A.D. Mirlin, D.G. Polyakov, Phys. Rev. Lett. 91, 226802 (2003)

    ADS  Article  Google Scholar 

  23. I.A. Dmitriev, M.G. Vavilov, I.L. Aleiner, A.D. Mirlin, D.G. Polyakov, Phys. Rev. B 71, 115316 (2005)

    ADS  Article  Google Scholar 

  24. I.A. Dmitriev, A.D. Mirlin, D.G. Polyakov, M.A. Zudov, Rev. Mod. Phys. 84, 1709 (2012)

    ADS  Article  Google Scholar 

  25. M.A. Zudov, O.A. Mironov, Q.A. Ebner, P.D. Martin, Q. Shi, D.R. Leadley, Phys. Rev. B 89, 125401 (2014)

    ADS  Article  Google Scholar 

  26. D.F. Kärcher, A.V. Shchepetilnikov, Yu.A. Nefyodov, J. Falson, I.A. Dmitriev, Y. Kozuka, D. Maryenko, A. Tsukazaki, S.I. Dorozhkin, I.V. Kukushkin, M. Kawasaki, J.H. Smet, Phys. Rev. B 93, 041410(R) (2016)

  27. D. Konstantinov, K. Kono, Phys. Rev. Lett. 103, 266808 (2009)

    ADS  Article  Google Scholar 

  28. D. Konstantinov, K. Kono, Phys. Rev. Lett. 105, 226801 (2010)

    ADS  Article  Google Scholar 

  29. Yu.P. Monarkha, Low Temp. Phys. 37, 90 (2011) [Fiz. Nizk. Temp. 37, 108 (2011)]

  30. Yu.P. Monarkha, Low Temp. Phys. 37, 655 (2011) [Fiz. Nizk. Temp. 37, 829 (2011)]

  31. Yu.P. Monarkha, Low Temp. Phys. 38, 451 (2012) [Fiz. Nizk. Temp. 38, 579 (2012)]

  32. D. Konstantinov, A. Chepelianskii, K. Kono, J. Phys. Soc. Jpn. 81, 093601 (2012)

    ADS  Article  Google Scholar 

  33. D. Konstantinov, M. Watanabe, K. Kono, J. Phys. Soc. Jpn. 82, 075002 (2013)

    ADS  Article  Google Scholar 

  34. A.D. Chepelianskii, M. Watanabe, K. Nasyedkin, K. Kono, D. Konstantinov, Nature Communications 6, 7210 (2015)

    ADS  Article  Google Scholar 

  35. Yu.P. Monarkha, Low Temp. Phys. 42, 441 (2016) [Fiz. Nizk. Temp. 42, 567 (2016)]

  36. Yu.P. Monarkha, Low Temp. Phys. 40, 482 (2014) [Fiz. Nizk. Temp. 40, 623 (2014)]

  37. R. Yamashiro, L.V. Abdurakhimov, A.O. Badrutdinov, Yu.P. Monarkha, D. Konstantinov, Phys. Rev. Lett. 115, 256802 (2015)

  38. A.A. Zadorozhko, Yu.P. Monarkha, D. Konstantinov, Phys. Rev. Lett. 120, 046802 (2018)

  39. M.G. Vavilov, I.L. Aleiner, Phys. Rev. B 69, 035303 (2004)

    ADS  Article  Google Scholar 

  40. Yu.P. Monarkha, Low Temp. Phys. 43, 650 (2017) [Fiz. Nizk. Temp. 43, 819 (2017)]

  41. V.B. Shikin, Yu.P. Monarkha, J. Low Temp. Phys. 16, 193 (1974)

  42. K. Park, Phys. Rev. B 69, 201301(R) (2004)

    ADS  Article  Google Scholar 

  43. K. Husimi, Prog. Theor. Phys. 9, 381 (1953)

    ADS  MathSciNet  Article  Google Scholar 

  44. T. Ando, Y. Uemura, J. Phys. Soc. Jpn. 36, 959 (1974)

    ADS  Article  Google Scholar 

  45. R.R. Gerhardts, Surf. Sci. 58, 227 (1976)

    ADS  Article  Google Scholar 

  46. T. Ando, J. Phys. Soc. Jpn. 37, 622 (1974)

    ADS  Article  Google Scholar 

  47. C. Fang-Yen, M.I. Dykman, M.J. Lea, Phys. Rev. B 55, 16272 (1997)

    ADS  Article  Google Scholar 

  48. Yu.P. Monarkha, S.S. Sokolov, A.V. Smorodin, N. Studart, Low Temp. Phys. 36, 565 (2010) [Fiz. Nizk. Temp. 36, 711 (2010)]

  49. Yu.P. Monarkha, Low Temp. Phys. 39, 828 (2013) [Fiz. Nizk. Temp. 39, 1068 (2013)]

  50. Yu.P. Monarkha, JETP Letters 98, 9 (2013) [Pisma v ZhETF 98, 12 (2013)]

  51. C.L. Zipfel, T.R. Brown, C.C. Grimes, Phys. Rev. Lett. 37, 1760 (1976)

    ADS  Article  Google Scholar 

  52. D. Konstantinov, H. Isshiki, Yu. Monarkha, H. Akimoto, K. Shirahama, K. Kono, Phys. Rev. Lett. 98, 235302 (2007)

    ADS  Article  Google Scholar 

  53. M.I. Dykman, L.S. Khazan, Sov. Phys. JETP 50, 747 (1979) [Zh Eksp, Teor. Fiz. 77, 1488 (1979)]

  54. D. Konstantinov, Yu. Monarkha, K. Kono, Phys. Rev. Lett. 111, 266802 (2013)

    ADS  Article  Google Scholar 

  55. M.A. Zudov, Phys. Rev. B 69, 041304(R) (2004)

    ADS  Article  Google Scholar 

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

    ADS  Article  Google Scholar 

  57. M.V. Entin, L.I. Magarill, JETP Letters 98, 816 (2013) [Pisma v ZhETF 98, 919 (2013)]

  58. R.S. Crandall, R. Williams, Phys. Rev. A 5, 2183 (1972)

    ADS  Article  Google Scholar 

  59. S.A. Mikhailov, V.A. Volkov, J. Phys.: Condens. Matter 4, 6523 (1992)

    ADS  Google Scholar 

  60. Yu.P. Monarkha, Low Temp. Phys. 21, 458 (1995) [Fiz. Nizk. Temp. 21, 589 (2013)]

  61. Yu.P. Monarkha, in Edge Excitations of Low-Dimensional Charged Systems, ed. by O. Kirichek (Nova Science Publishers Inc., New York, 2001), p. 4974. Chapt. 2

  62. P.K.H. Sommerfeld, P.P. Steijaert, P.J.M. Peters, R.W. van der Heijden, Phys. Rev. Lett. 74, 2559 (1995)

    ADS  Article  Google Scholar 

  63. O.I. Kirichek, P.K.H. Sommerfeld, Yu.P. Monarkha, P.J.M. Peters, Yu.Z. Kovdrya, P.P. van der Steijaert, R.W. de Heijden, A.T.A.M. Waele, Phys. Rev. Lett. 74, 1190 (1995)

  64. S. Yamanaka, T. Arai, A. Sawada, A. Fukuda, H. Yayama, EPL 100, 17009 (2012)

    Article  Google Scholar 

  65. S. Yamanaka, T. Arai, A. Sawada, A. Fukuda, H. Yayama, Low Temp. Phys. 39, 842 (2013) [Fiz. Nizk. Temp. 39, 1086 (2013)]

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

    ADS  Article  Google Scholar 

  67. S.I. Dorozhkin, L. Pfeiffer, K. West, K. von Klitzing, J.H. Smet, Nature Physics 7, 336 (2011)

    ADS  Article  Google Scholar 

  68. J.H. Smet, B. Gorshunov, C. Jiang, L. Pfeiffer, K. West, V. Umansky, M. Dressel, R. Meisels, F. Kuchar, K. von Klitzing, Phys. Rev. Lett. 95, 116804 (2005)

    ADS  Article  Google Scholar 

  69. T. Herrmann, I.A. Dmitriev, D.A. Kozlov, M. Schneider, B. Jentzsch, Z.D. Kvon, P. Olbrich, V.V. Belkov, A. Bayer, D. Schuh, D. Bougeard, T. Kuczmik, M. Oltscher, D. Weiss, S.D. Ganichev, Phys. Rev. B 94, 081301(R) (2016)

    ADS  Article  Google Scholar 

  70. H. Kogelnik, T. Li, Appl. Opt. 5, 1550 (1966)

    ADS  Article  Google Scholar 

  71. A.D. Chepelianskii, D.L. Shepelyansky, Phys. Rev. B 97, 125415 (2018)

    ADS  Article  Google Scholar 

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Acknowledgements

The work of D. K. is supported by an internal grant from Okinawa Institute of Science and Technology (OIST) Graduate University. We are grateful to Kimitoshi Kono, Alexei Chepelianskii, Masamitsu Watanabe, and Konstantin Nasedkin for fruitful collaborations on the topics included in this review.

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Correspondence to Denis Konstantinov.

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Monarkha, Y., Konstantinov, D. Magneto-Oscillations and Anomalous Current States in a Photoexcited Electron Gas on Liquid Helium. J Low Temp Phys 197, 208–249 (2019). https://doi.org/10.1007/s10909-019-02210-w

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  • DOI: https://doi.org/10.1007/s10909-019-02210-w

Keywords

  • Magneto-oscillations
  • 2D electron gas
  • Liquid helium