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

Abstract

We study the nuclear magnetic resonance (NMR) spin-lattice relaxation rate 1/ T 1 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/ T 1 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/ T 1 experimentally. The results presented here should provide valuable insights in regards of future NMR experiments in realistic disordered spin compounds.

Authors:
 [1]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory-National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1527132
DOE Contract Number:  
AC02-05-CH11231
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 20; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

Citation Formats

Dupont, Maxime. Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.205147.
Dupont, Maxime. Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension. United States. doi:10.1103/PhysRevB.99.205147.
Dupont, Maxime. Wed . "Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension". United States. doi:10.1103/PhysRevB.99.205147.
@article{osti_1527132,
title = {Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension},
author = {Dupont, Maxime},
abstractNote = {We study the nuclear magnetic resonance (NMR) spin-lattice relaxation rate 1/T1 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.},
doi = {10.1103/PhysRevB.99.205147},
journal = {Physical Review B},
issn = {2469-9950},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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