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NMR Studies of the Dynamics of 1D \(^3\hbox {He}\) in \(^4\hbox {He}\) Plated MCM-41

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Abstract

Pulsed NMR techniques have been used to study the dynamics of \(^3\hbox {He}\) confined to the interior of the hexagonal nanochannels of MCM-41 for which the walls were coated with a monolayer of \(^4\hbox {He}\) as determined by isotherm measurements. The \(^3\hbox {He}\) was added afterward to form a 1D \(^3\hbox {He}\) line density of about 0.1 \(\hbox {A}^{-1}\), corresponding to a Fermi temperature of \(T_{\mathrm{F}} \sim\) 120 mK. A distinct and appreciable departure from the Curie law was observed for the nuclear spin magnetization below 0.5 K. The temperature dependence of the nuclear spin–lattice relaxation times, \(T_1\), for temperatures \(0.05<T<2.5\) K, followed the expected linear behavior at low temperatures, and a peak was observed at \(T\sim 2T_{\mathrm{F}}\) consistent with the Luttinger liquid theory as predicted by Polini et al. (Phys Rev Lett 98:266403, 2007). The observed temperature dependence of the nuclear spin–spin relaxation times, \(T_2\), differed considerably from that observed for \(T_1\), with a minimum at \(T= 0.8\) K, similar to the tendency reported by Matsushita and colleagues.

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Acknowledgements

This research was carried out at the National High Magnetic Field Laboratory’s High B/T Facility which is supported by NSF Grant DMR 1644779 and by the State of Florida. This project was also supported in part by an award from the Collaborative Users Grant Program of the NHMFL. We also acknowledge valuable discussions with Brian Cowan (Royal Holloway College, London) and Dmitrii Maslov (University of Florida).

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Authors and Affiliations

  1. Department of Physics, University of Florida, Gainesville, FL, 32611, USA

    C. Huan, J. Adams, M. Lewkowitz, N. Masuhara & N. S. Sullivan

  2. Department of Physics, University of Massachusetts, Amherst, MA, 01003, USA

    D. Candela

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  1. C. Huan
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  2. J. Adams
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  3. M. Lewkowitz
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  4. N. Masuhara
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Correspondence to C. Huan.

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Huan, C., Adams, J., Lewkowitz, M. et al. NMR Studies of the Dynamics of 1D \(^3\hbox {He}\) in \(^4\hbox {He}\) Plated MCM-41. J Low Temp Phys 201, 146–153 (2020). https://doi.org/10.1007/s10909-020-02358-w

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