Journal of Low Temperature Physics

, Volume 185, Issue 3–4, pp 354–362 | Cite as

Quantum Tunneling of \(^3\)He in Solid \(^4\)He: A New Analysis

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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.

Keywords

Tunneling Magnetic resonance Quantum diffusion 

Notes

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.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • C. Huan
    • 1
  • S. S. Kim
    • 1
  • D. Candela
    • 2
  • N. S. Sullivan
    • 1
  1. 1.Department of PhysicsUniversity of FloridaGainesvilleUSA
  2. 2.Department of PhysicsUniversity of MassachusettsAmherstUSA

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