Quantum Fluids and SolidsNo Access

CONTINUUM THEORY OF SUPERFLOW IN SUPERSOLID ⁴He: A REVIEW

WAYNE M. SASLOW

Department of Physics, Texas A&M University, College Station, TX 77843-4242, USA

https://doi.org/10.1142/S0217979206036132Cited by:1 (Source: Crossref)

Abstract

The recent observation of non-classical rotational inertia in solid ⁴He for temperatures T < 200 mk, and the continued non-observation of unusual flow associated with "zero-point defectons", favors the Leggett picture of Non-Classical Rotational Inertia over the Andreev-Lifshitz zero-point defecton picture of possible superflow in this system. We discuss the nature of the wavefunction, the Leggett one-body phase function upper bound for the superfluid fraction, and more complex forms for the phase-function and how this affects the net momentum density of this many-body system. The general properties of quantum vortices in such a system are briefly discussed.

Keywords:

References

A. F. Andreev and I. M. Lifshitz, Sov. Phys. JETP 29, 1107 (1969). Web of Science, ADS, Google Scholar
Y. Pomeau and S. Rica, Phys. Rev. Lett. 72, 2426 (1994), DOI: 10.1103/PhysRevLett.72.2426. Crossref, Web of Science, ADS, Google Scholar
L. Reatto, Phys. Rev. A 183, 334 (1969), DOI: 10.1103/PhysRev.183.334. Crossref, Web of Science, Google Scholar
G. V. Chester, Phys. Rev. A 2, 256 (1970), DOI: 10.1103/PhysRevA.2.256. Crossref, Web of Science, ADS, Google Scholar
A. J. Leggett, Phys. Rev. Lett. 25, 1543 (1970), DOI: 10.1103/PhysRevLett.25.1543. Crossref, Web of Science, ADS, Google Scholar
R. L. Guyer, Phys. Rev. Lett. 26, 174 (1971), DOI: 10.1103/PhysRevLett.26.174. Crossref, Web of Science, ADS, Google Scholar
J. F. Fernandez and M. Puma, J. Low Temp. Phys. 17, 131 (1974), DOI: 10.1007/BF00654549. Crossref, Web of Science, ADS, Google Scholar
W. M. Saslow, Phys. Rev. Lett. 36, 1151 (1976), DOI: 10.1103/PhysRevLett.36.1151. Crossref, Web of Science, ADS, Google Scholar
M. W. Meisel, Physica B 178, 121 (1992), DOI: 10.1016/0921-4526(92)90186-V. Crossref, Web of Science, ADS, Google Scholar
A. Andreevet al., Sov. Phys. JETP Lett. 9, 306 (1969). Web of Science, ADS, Google Scholar
D. S. Greywall, Phys. Rev. B 16, 1291 (1977), DOI: 10.1103/PhysRevB.16.1291. Crossref, Web of Science, ADS, Google Scholar
J. Day, T. Herman and J. Beamish, Phys. Rev. Lett. 95, 035301 (2005), DOI: 10.1103/PhysRevLett.95.035301. Crossref, Web of Science, Google Scholar
E. Kim and M. H. W. Chan, Nature 427, 225 (2004), DOI: 10.1038/nature02220. Crossref, Web of Science, ADS, Google Scholar
E. Kim and M. H. W. Chan, J. Low Temp. Phys. 138, 859 (2005), DOI: 10.1007/s10909-005-2315-y. Crossref, Web of Science, ADS, Google Scholar
E. Kim and M. H. W. Chan, Science 305, 1941 (2004), DOI: 10.1126/science.1101501. Crossref, Web of Science, Google Scholar
K. Shirahama (private communication) . Google Scholar
J. Reppy (private communication) . Google Scholar
D. M. Ceperley and B. Bernu, Phys. Rev. Lett. 93, 155303 (2004), DOI: 10.1103/PhysRevLett.93.155303. Crossref, Web of Science, ADS, Google Scholar
D. E. Galli, M. Rossi and L. Reatto, Phys. Rev. B 71, 140506 (2005), DOI: 10.1103/PhysRevB.71.140506. Crossref, Web of Science, Google Scholar
L. Reatto , Proceedings of QMBT13 . Google Scholar
C. N. Yang, Rev. Mod. Phys. 34, 644 (1962); F. Bloch and H. E. Rorshach, Phys. Rev. 128, 1697 (1962); W. Kohn, Phys. Rev. 133, A171 (1964) . Google Scholar
W. M. Saslow, Phys. Rev. B 71, 092502 (2005), DOI: 10.1103/PhysRevB.71.092502. Crossref, Web of Science, Google Scholar
D. N. Lowy and C.-W. Woo, Phys. Rev. B 13, 3790 (1976), DOI: 10.1103/PhysRevB.13.3790. Crossref, Web of Science, ADS, Google Scholar
D. Ceperley, G. Chester and M. Kalos, Phys. Rev. B 17, 1070 (1978), DOI: 10.1103/PhysRevB.17.1070. Crossref, Web of Science, Google Scholar
E. L. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984), DOI: 10.1103/PhysRevB.30.2555. Crossref, Web of Science, ADS, Google Scholar
D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995), DOI: 10.1103/RevModPhys.67.279. Crossref, Web of Science, ADS, Google Scholar
W. M. Saslow and S. Jolad, submitted to Phys. Rev. B , cond-mat/0511214 . Google Scholar
W. M. Saslow, D. Galli, L. Reatto, in preparation . Google Scholar
In principle, ϕ can depend on the positions of all of the particles. Including only two-body correlations in ϕ causes three-body correlations to affect ϕ, and hence the superfluid density. See Ref. 28 . Google Scholar
A. J. Leggett, J. Stat. Phys. 93, 927 (1998), DOI: 10.1023/B:JOSS.0000033170.38619.6c. Crossref, Web of Science, ADS, Google Scholar
E. Krotscheck and C. J. Tymczak. See C. J. Tymczak, Ph.D dissertation, Excitations in Liquid 4He Films, Texas A&M University (1995) . Google Scholar
S. A. Vitiello , L. Reatto and M. H. Kalos , Condensed Matter Theories , ed. V. C. Aguilera-Navarro ( Plenum , New York , 1989 ) . Google Scholar
G. Ortiz and D. M. Ceperley, Phys. Rev. Lett. 75, 4642 (1995), DOI: 10.1103/PhysRevLett.75.4642. Crossref, Web of Science, ADS, Google Scholar
J. S. Langer and M. E. Fisher, Phys. Rev. Lett. 19, 560 (1967); S. V. Iordanskii, Zh. Eksip. Teor. Fiz. 48, 708 (1965) [Sov. Phys. JETP 21, 467 (1965)] . Google Scholar