Skip to main content
SpringerLink
Log in

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

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  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)

    Article  ADS  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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

  1. Institute for Low Temperature Physics and Engineering, 47 Nauky Avenue, Kharkiv, 61103, Ukraine

    Yuriy Monarkha

  2. Quantum Dynamics Unit, Okinawa Institute of Science and Technology (OIST) Graduate University, Tancha 1919-1, Okinawa, 904-0495, Japan

    Denis Konstantinov

Authors
  1. Yuriy Monarkha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Denis Konstantinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Denis Konstantinov.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

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

Keywords

Search

Navigation