Abstract
We report a systematic experimental study of the anomalous nonlinear magnetotransport in the Wigner solid (WS) trapped on a liquid4He surface. The ac Corbino conductivity σxx exhibits an abrupt jump at a certain driving voltage. The threshold input voltage Vth for the σxx jump varies as Vth ∝ B−0.8 ω−1 n1.5sE⊥, where B, ω, ns, and E⊥ are magnetic field, frequency, electron density and pressing electric field, respectively. We interpret the σxx jump as the transition between the WS accompanied with the periodic 4He surface deformation and the WS which decouples from the surface, due to the large driving force. A simple model is presented: The rigid-potential sliding model qualitatively explains the above mentioned behaviors of Vth. We have found that the dependences of σxx on B and E⊥ are different from those of the liquid phase. The anomalous behaviors of σxx play a crucial role on the sliding model.
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10 February 2022
A Correction to this paper has been published: https://doi.org/10.1007/s10909-022-02679-y
References
For reviews, see C. C. Grimes,Surf. Sci.73, 379 (1978), F. I. B. Williams,ibid.113, 371 (1982), and2-D Electron Systems on Helium and Other Substrates, edited by E. Y. Andrei, Kluwer Academic Publishing, to be published.
K. Kono, S. Ito, and K. Shirahama, in preparation.
Y. Lye,J. Low Temp. Phys.40, 441 (1980), and Thesis. University of Tokyo, unpublished (1980).
D. S. Fisher, B. I. Halperin and P. M. Platzman,Phys. Rev. Lett.42, 798 (1979).
C. C. Grimes and G. Adams,Phys. Rev. Lett.42, 795 (1979).
K. Shirahama and K. Kono,Phys. Rev. Lett.74, 781 (1995), K. Shirahama, S. Ito, H. Suto, and K. Kono,J. Low Temp. Phys.101, 433 (1995),ibid. Physica B, in press, and K. Kono and K. Shirahama,Surf. Sci., in press.
P. M. Platzman and H. Fukuyama,Phys. Rev. B 10, 3150 (1974).
K. Shirahama, S. Ito, H. Suto, and K. Kono,J. Low Temp. Phys.101, 439 (1995).
K. Kajita,Jpn. J. Appl. Phys. Suppl.26-3, 1943 (1987).
V. B. Shikin,JETP Lett.19, 335 (1974), Yu. P. Monarkha and V. B. Shikin,Sov. Phys. JETP41, 710 (1975).
A-M. Tremblay and V. Ambegaokar,Phys. Rev. B20, 2190 (1979).
H. Namaizawa,Solid State Comm.34, 607 (1980).
D. Marty, J. Poitrenaud, and F. I. B. Williams,J. de Physique (Paris) Lett.41, L311 (1980).
F. Gallet, G. Deville, A. Valdès, and F. I. B. Williams,Phys. Rev. Lett.49, 212 (1982).
G. Deville, A. Valdès, E. Y. Andrei, and F. I, B. Williams,Phys. Rev. Lett.53, 588 (1982).
J. M. Kosterlitz and D. J. Thouless,J. Phys. C6, 1181 (1973), D. J. Thouless,ibid.11, L189 (1978), D. R. Nelson and B. I. Halperin,Phys. Rev. B19, 2457 (1979), A. P. Young,ibid.19, 1855 (1979), R. Morf,Phys. Rev. Lett.43, 931 (1979).
See for example, S. A. Jackson and P. M. Platzman,Phys. Rev. B25, 4886 (1982).
See, for example, G. Grüner,Density Waves in Solids, Addison-Wesley, 1994.
W. T. Sommer and D. J. Tanner,Phys. Rev. Lett.27, 1345 (1971).
R. Mehrotra and A. J. Dahm,J. Low Temp. Phys.67, 115 (1987).
K. Kono, U. Albrecht and P. Leiderer,J. Low Temp. Phys.82, 279 (1991). In this paper there are typographical errors. Zeroth order Bessel and Neumann functions stand for the first order ones.
R. Mehrotra, C. J. Guo, Y. Z. Ruan, D. B. Mast, and A. J. Dahm,Phys. Rev. B29, 5239 (1984).
V. N. Grigor'ev, V. V. Dotsenko, O. I. Kirichek, Yu. Z. Kovdrya, L. A. Pogorelov, V. E. Sivokon', and V. I. Sobolev,Sov. J. Low Temp. Phys.18, 292 (1992), Yu. Z. Kovdrya, V. A. Nikolayenko, O. I. Kirichek, S. S. Sokolov, and V. N. Grigor'ev,J. Low Temp. Phys.91, 371 (1993).
M. Saitoh,J. Phys. Soc. Jpn.42, 201 (1977).
L. Wilen and R. W. Giannetta,Jpn. J. Appl. Phys. Suppl.26-3, 2105 (1987), R. W. Giannetta and L. Wilen,Solid State Commun.78, 199 (1991).
G. Grüner, A. Zawadowski, and P. M. Chaikin,Phys. Rev. Lett.46, 511 (1981).
D. C. Glattli, E. Y. Andrei, and F. I. B. Williams,Phys. Rev. Lett.60, 420 (1988), and M. J. Lea, private communication.
S. Yücel, L. Menna, and E. Y. Andrei,Phys. Rev. B47, 12672 (1993).
Yu. P. Monarkha and V. B. Shikin,Sov. J. Low. Temp. Phys.17, 487 (1991).
K. Shirahama, H. Suto, and K. Kono, in preparation.
D. O. Edwards and W. F. Saam, inProgress in Low Temperature Physics, Volume VII A edited by D. F. Brewer, North-Holland (1978).
A. Kristensen, K. Djerfi, P. Fozooni, M. J. Lea, P. J. Richardson, A. Santrich-Badal, A. Blackburn, and R. W. van der Heijden, preprint.
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Shirahama, K., Kono, K. Sliding wigner solid on liquid4He. J Low Temp Phys 104, 237–264 (1996). https://doi.org/10.1007/BF00754096
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DOI: https://doi.org/10.1007/BF00754096