Abstract
The two-dimensional (2D) 4He fluid films show the Kosterlitz-Thouless (KT) transition where pairing and unpairing of the 2D vortices play an important role. However, the vortex properties (the diffusion constant D, the core diameter a 0) have not been precisely obtained for various conditions. Here, we accurately determined the parameter D/a 20 by the high frequency dependence of the superfluid onset up to 180 MHz for the submonolayer 4He fluid films adsorbed on gold and H2 (3.3 layers) preplated on gold, respectively. The superfluid onset coverage changes from 1.6 (gold) to 0.5 layers (H2), which clearly indicates the large difference of the adsorption potential. The parameter D/a 20 , on the other hand, has the same value for the coverages with the same KT temperature T KT. This suggests that the vortex diffusions on both substrates have the largest value D∼ℏ/m in the quantum limit. The core diameter a 0 was estimated to be the same magnitude as the de Broglie wavelength at T KT between 0.1 and 0.9 K.
Similar content being viewed by others
References
J.M. Kosterlitz, D.J. Thouless, J. Phys. C 6(8), 1181 (1973)
P.W. Adams, W.I. Glaberson, Phys. Rev. B 35, 4633 (1987)
D. Finotello, Y.Y. Yu, F.M. Gasparini, Phys. Rev. B 41, 10994 (1990)
J. Maps, R.B. Hallock, Phys. Rev. B 27, 5491 (1983)
H. Yano, T. Jocha, N. Wada, Phys. Rev. B 60, 543 (1999)
M. Hieda, K. Matsuda, T. Kato, T. Matsushita, N. Wada, J. Phys. Soc. Jpn. 78, 033604-1 (2009)
H. Cho, G.A. Williams, Phys. Rev. Lett. 75, 1562 (1995)
M.J. Lee, P. Fozooni, P.W. Retz, J. Low Temp. Phys. 54, 303 (1984)
L. Bruschi, A. Carlin, G. Mistura, Phys. Rev. Lett. 88, 046105 (2002)
B. Borovsky, B.L. Mason, J. Krim, J. Appl. Phys. 88, 4017 (2000)
G. Agnolet, D.F. McQueeney, J.D. Reppy, Phys. Rev. B 39, 8934 (1989)
E. Cheng, G. Ihm, M.W. Cole, J. Low Temp. Phys. 74, 519 (1989)
G. Csáthy, J.D. Reppy, M.H.W. Chan, Phys. Rev. Lett. 91, 235301 (2003)
V. Ambegaokar, B.I. Halperin, D.R. Nelson, E.D. Siggia, Phys. Rev. B 21, 1806 (1980)
A. Fetter, Phys. Rev. 138, A429 (1965)
K. Shirahama, M. Kubota, S. Ogawa, N. Wada, T. Watanabe, Phys. Rev. Lett. 64, 1541 (1990)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Oda, T., Hieda, M., Toda, R. et al. Vortex Diffusivity and Core Diameter of 2D Superfluid in 4He Films on Gold and H2 Substrates. J Low Temp Phys 158, 262–267 (2010). https://doi.org/10.1007/s10909-009-0030-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-009-0030-9