Abstract
We calculated the glassy response of solid 4He to torsional oscillations assuming a phenomenological glass model. Making only a few assumptions about the distribution of glassy relaxation times in a small subsystem of otherwise rigid solid 4He, we can account for the magnitude of the observed period shift and concomitant dissipation peak in several torsion oscillator experiments. The implications of the glass model for solid 4He are threefold: (1) The dynamics of solid 4He is governed by glassy relaxation processes. (2) The distribution of relaxation times varies significantly between different torsion oscillator experiments. (3) The mechanical response of a torsion oscillator does not require a supersolid component to account for the observed anomaly at low temperatures, though we cannot rule out its existence.
Similar content being viewed by others
References
E. Kim, M.H.W. Chan, Nature (Lond.) 427, 225 (2004)
E. Kim, M.H.W. Chan, Science 305, 1941 (2005)
E. Kim, M.H.W. Chan, Phys. Rev. Lett. 97, 115302 (2006)
A.S.C. Rittner, J.D. Reppy, Phys. Rev. Lett. 97, 165301 (2006)
A.S.C. Rittner, J.D. Reppy, Phys. Rev. Lett. 98, 175302 (2007)
M. Kondo, S. Takada, Y. Shibayama, K. Shirahama, J. Low Temp. Phys. 148, 695 (2007)
Y. Aoki, J.C. Graves, H. Kojima, Phys. Rev. Lett. 99, 015301 (2007)
Y. Aoki, J.C. Graves, H. Kojima, J. Low Temp. Phys. 150, 252 (2008)
A.C. Clark, J.T. West, M.H.W. Chan, Phys. Rev. Lett. 99, 135302 (2007)
A. Penzev, Y. Yasuta, M. Kubota, J. Low Temp. Phys. 148, 677 (2007)
A. Penzev, Y. Yasuta, M. Kubota, Phys. Rev. Lett. 101, 065301 (2008)
B. Hunt et al., Science 324, 632 (2009)
A.F. Andreev, I.M. Lifshitz, Sov. Phys. JETP 29, 1107 (1969)
G.V. Chester, L. Reatto, Phys. Rev. 155, 88 (1967)
L. Reatto, Phys. Rev. 183, 334 (1969)
G.V. Chester, Phys. Rev. A 2, 256 (1970)
A.J. Leggett, Phys. Rev. Lett. 25, 2543 (1970)
P.W. Anderson, Basic Notions of Condensed Matter Physics (Benjamin, Menlo Park, 1984), Chap. 4, p. 143
E.L. Andronikashvili, J. Phys. (USSR) 10, 201 (1946)
E.L. Andronikashvili, Yu.G. Mamaladze, Rev. Mod. Phys. 38, 567 (1966)
G.B. Hess, M.W. Fairbank, Phys. Rev. Lett. 19, 216 (1967)
F. London, Superfluids, vol. II (Wiley, New York, 1954), p. 144
D.S. Greywall, Phys. Rev. B 16, 1291 (1977)
J. Day, T. Herman, J. Beamish, Phys. Rev. Lett. 95, 035301 (2005)
J. Day, J. Beamish, Phys. Rev. Lett. 96, 105304 (2006)
S. Sasaki, R. Ishiguro, F. Caupin, H.J. Maris, S. Balibar, Science 313, 1098 (2006)
M.W. Ray, R.B. Hallock, Phys. Rev. Lett. 100, 235301 (2008)
M.W. Ray, R.B. Hallock, Phys. Rev. Lett. 101, 189602 (2008)
G. Bonfait, H. Godfrin, S. Balibar, J. Phys. (Paris) 50, 1997 (1989)
S. Balibar, F. Caupin, Phys. Rev. Lett. 100, 235301 (2008)
S.O. Diallo et al., Phys. Rev. Lett. 98, 205301 (2007)
E. Blackburn et al., Phys. Rev. B 76, 024523 (2007)
O. Kirichek, J. Phys. Conf. Ser. 150, 032042 (2009)
Z. Nussinov, M.J. Graf, A.V. Balatsky, S.A. Trugman, Phys. Rev. B 76, 014530 (2007)
M.J. Graf et al., J. Phys. Conf. Ser. 150, 032025 (2009)
D.A. Huse, Z.U. Khandker, Phys. Rev. B 75, 212504 (2007)
B.K. Clark, D.M. Ceperly, Phys. Rev. Lett. 96, 105302 (2006)
M. Boninsegni, N. Prokof’ev, B. Svistunov, Phys. Rev. Lett. 96, 105301 (2006)
L. Pollet et al., Phys. Rev. Lett. 98, 135301 (2007)
M. Boninsegni et al., Phys. Rev. Lett. 99, 035301 (2007)
A.V. Balatsky, M.J. Graf, Z. Nussinov, S.A. Trugman, Phys. Rev. B 75, 094201 (2007)
K.S. Cole, R.H. Cole, J. Chem. Phys. 9, 341 (1941)
D.W. Davidson, R.H. Cole, J. Chem. Phys. 18, 1417 (1950)
D.W. Davidson, R.H. Cole, J. Chem. Phys. 19, 1484 (1951)
C.-D. Yoo, A.T. Dorsey, Phys. Rev. B 79, 100504(R) (2009)
S.E. Korshunov, Pis’ma v Zh. Eksp. Theor. Fiz. 90, 167 (2009)
C.A. Angell, Science 267, 1924 (1995)
J.M. Borrego et al., J. Appl. Phys. 92, 6607 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Graf, M.J., Nussinov, Z. & Balatsky, A.V. The Glassy Response of Solid 4He to Torsional Oscillations. J Low Temp Phys 158, 550–559 (2010). https://doi.org/10.1007/s10909-009-9958-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-009-9958-z