Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension

Dupont, Maxime

doi:10.1103/physrevb.99.205147

Title: Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension

Journal Article · 28 May 2019 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.99.205147 · OSTI ID:1580879

Dupont, Maxime ^[1]

Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Here, we study the nuclear magnetic resonance (NMR) spin-lattice relaxation rate 1/T₁1 in random one-dimensional spin chains as a function of the temperature and disorder strength. In the zero temperature limit, the system displays a disorder-induced quantum phase transition between a critical Tomonaga-Luttinger liquid (TLL) phase and a localized Bose glass phase. The 1/T₁ is investigated across this transition using large-scale simulations based on matrix product state techniques. We find that this quantity can detect the transition and probe the value of the dimensionless TLL parameter K. We also compute the NMR relaxation rate distributions for each temperature and disorder strength considered. In particular, we discuss the applicability of the stretched exponential fit to the return-to-equilibrium function to extract the 1/T₁ experimentally. The results presented here should provide valuable insights in regards of future NMR experiments in realistic disordered spin compounds.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences & Engineering Division (SC-22.2)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1580879

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 20 Vol. 99; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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