Abstract
Superfluid films adsorbed on a cylindrical surface are studied. The superfluid density is calculated using a modification of the Kosterlitz-Thouless theory. There is no vortex unbinding transition because the vortex interaction is linear on long length scales. Thus the superfluid areal density, defined in terms of the real part of a response function, is nonzero for all T<Tλ. The superfluid density is anisotropic, differing for axial and azimuthal flows. Dissipation due to vortex motion is considered. The periodicity of the substrate leads to a zero frequency dissipation mechanism for flows in the axial direction.
Similar content being viewed by others
References
J. M. Kosterlitz and D. J. Thouless,J. Phys. C 6, 1181 (1973).
V. Kotsubo and G. A. Williams,Phys. Rev. Lett. 53, 691 (1984);Phys. Rev. B 33, 6106 (1986).
J. E. Berthold, D. J. Bishop, and J. D. Reppy,Phys. Rev. Lett. 39, 348 (1977); D. J. Bishop, J. E. Berthold, J. M. Parpia, and J. D. Reppy,Phys. Rev. B 24, 5047 (1981).
C. Wang and L. Yu,Phys. Rev. B 33, 599 (1986).
P. B. Weichman, M. Rasolt, M. E. Fisher, and M. J. Stephen,Phys. Rev. B 33, 4632 (1986).
D. T. Smith, K. M. Godshalk, and R. B. Hallock,Phys. Rev. B 36, 202 (1987); S. M. Cohen, R. A. Guyer, and J. Machta,Phys. Rev. B 33, 4664 (1986).
T. Minoguchi and Y. Nagaoka,Jpn. J. Appl. Phys. 26, 327 (1987).
T. Minoguchi and Y. Nagaoka, preprint.
J. Machta and R. A. Guyer,Phys. Rev. Lett. 60, 2054 (1988).
H. Schulz,Z. Physik B 26, 377 (1977).
D. R. Nelson, inPhase Transitions and Critical Phenomena, Vol. 7, C. Domb and J. Liebowitz, eds. (Academic Press, New York, 1983).
A. Lenard,J. Math. Phys. 2, 682 (1961).
P. C. Hohenberg, and P. C. Martin,Ann. Phys. 34, 291 (1965).
P. Minnhagen and G. G. Warren,Phys. Rev. B 24, 2526 (1981).
V. Ambegaokar, B. I. Halperin, D. R. Nelson, and E. D. Siggia,Phys. Rev. B 21, 1806 (1980).
M. E. Fisher, M. N. Barber, and D. Jasnow,Phys. Rev. A 8, 1111 (1973).
J. Jose, L. P. Kadanoff, S. Kirkpatrick and D. R. Nelson,Phys. Rev. B 16, 1217 (1977).
D. R. Nelson,Phys. Rev. B 18, 2318 (1978).
J. M. Kosterlitz,J. Phys. C 10, 3753 (1977).
V. Ambegaokar and S. Teitel,Phys. Rev. B 19, 1667 (1979).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Machta, J., Guyer, R.A. Superfluid films on a cylindrical surface. J Low Temp Phys 74, 231–261 (1989). https://doi.org/10.1007/BF00683374
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00683374