Abstract
We discuss the analysis of the experimental values of the nuclear spin–lattice and spin–spin relaxation times for the tunneling of \(^3\)He as isotopic impurities in solid \(^4\)He. These two relaxation times cannot be described quantitatively using a unique correlation time although it is often presented as such in the literature. In this paper, we discuss how to distinguish the high-frequency portion of the spectral densities that determine the spin–lattice relaxation rates from the low-frequency components which determine the spin–spin relaxation rates.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R.F. Buzerak, M. Chan, H. Meyer, J. Low Temp. Phys. 28, 415 (1977)
F. Weinhaus, H. Meyer, Phys. Rev. B 7, 2974 (1973)
I. Yu, J. Low Temp. Phys. 60, 425 (1985)
D. Zhou, N.S. Sullivan, Physica B 194–196, 957 (1994)
D. Zhou, C.M. Edwards, N.S. Sullivan, Phys. Rev. Lett. 62, 1528 (1989)
D. Ramm, H. Meyer, J. Low Temp. Phys. 40, 173 (1980)
H. Meyer, Can. J. Phys. 65, 1453 (1987)
H. Meyer, Fiz. Nizkikh Temp – (in english) [Low Temp. Phys. (Kharkov)] 24, 507 (1998)
M. Richards, J. Pope, A. Widom, Phys. Rev. Lett. 29, 708 (1972)
A. Widom, M. Richards, Phys. Rev. A 6, 1196 (1972)
M. Richards, J. Smith, P. Tofts, W. Mullin, Phys. Rev. Lett. 34, 1545 (1975)
A. Allen, M. Richards, J. Schratter, J. Low Temp. Phys. 47, 289 (1982)
J. Schratter, A. Allen, M. Richards, J. Low Temp. Phys. 57, 179 (1984)
V.N. Grigoriev, B.N. Esel’son, V.A. Mikheev, V.A. Slusarev, M.A. Strzhemechny, Y.E. Shulman, J. Low Temp. Phys. 13(1–2), 65 (1973)
R. Toda, P. Gumann, K. Kosakai, M. Kanemoto, W. Onoe, Y. Sasaki, Phys. Rev. B 81, 214515 (2010)
R. Toda, W. Onoe, M.K.T. Kakuda, Y. Tanaka, Y. Sasaki, J. Low Temp. Phys. 162, 476 (2011)
S.S. Kim, C. Huan, L. Yin, J.S. Xia, D. Candela, N.S. Sullivan, Phys. Rev. Lett. 106, 185303 (2011)
S.S. Kim, C. Huan, L. Yin, J.S. Xia, D. Candela, N.S. Sullivan, Phys. Rev. B 87, 224303 (2013)
N.S. Sullivan, D. Candela, S.S. Kim, C. Huan, L. Yin, J.S. Xia, J. Low Temp. Phys. 175, 133 (2014)
R.A. Guyer, R.C. Richardson, L.I. Zane, Rev. Mod. Phys. 43(4), 532 (1971)
A. Landesman, Phys Lett 54A, 137 (1975)
A. Landesman, J.M. Winter, in Proceedings Low Temperature Physics-LT-13 (Plenum, New York, 1974), pp. 73–78
D. Candela, C. Huan, S.S. Kim, L. Yin, J.S. Xia, N.S. Sullivan, J. Phys. Conf. Ser. 568, 012017 (2014)
A. Landesman, Bull. Mag. Res. 4, 105 (1980)
S.S. Kim, C. Huan, L. Yin, J.S. Xia, N.S. Sullivan, D. Candela, J. Phys. Conf Ser. 400, 012031 (2012)
Y. Hirayoshi, T. Mizusaki, S. Maekawa, A. Hirai, Phys. Lett. 57A, 359 (1976)
I. Schuster, Y. Swirsky, E.J. Scmidt, E. Polturak, S.G. Lipson, Europhys. Lett. 33(8), 623 (1996)
A.S. Greenberg, W.C. Thomlinson, R.C. Richardson, J. Low Temp. Phys. 8, 3 (1972)
R. Toda, P. Gumann, K. Kosaka, M. Kanemoto, W. Onoe, Y. Sasaki, Phys. Rev. B 81, 214515 (2010)
C. Huan, S.S. Kim, L. Yin, J.S. Xia, D. Candela, N.S. Sullivan, J. Low Temp. Phys. 162, 167 (2011)
A. Landesman, J. Low Temp. Phys. 30, 117 (1978)
W. Huang, H.A. Goldberg, M.T. Takemori, R.A. Guyer, Phys. Rev. Lett. 33(5), 283 (1974)
W. Huang, H.A. Goldberg, R.A. Guyer, Phys. Rev. B 11(9), 23374 (1975)
Acknowledgments
We gratefully acknowledge numerous discussions with Brian Cowan, Maurice Chapellier, Henri Godfrin, Pradeep Kumar, and Alan Dorsey. The experimental work at very low \(^3\)He concentrations was carried out at the National High Magnetic Field Laboratory’s High B/T Facility supported by the National Science Foundation through DMR-1157490. NS also acknowledges the support from DMR-1303599.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huan, C., Kim, S.S., Candela, D. et al. Quantum Tunneling of \(^3\)He in Solid \(^4\)He: A New Analysis. J Low Temp Phys 185, 354–362 (2016). https://doi.org/10.1007/s10909-016-1637-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-016-1637-2