Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension
Abstract
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.
- Authors:
-
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22), Materials Sciences & Engineering Division (SC-22.2); USDOE
- OSTI Identifier:
- 1580879
- Alternate Identifier(s):
- OSTI ID: 1518522
- Grant/Contract Number:
- AC02-05CH11231; AC02-05-CH11231
- Resource Type:
- Accepted Manuscript
- 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
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
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. https://doi.org/10.1103/physrevb.99.205147
Dupont, Maxime. Tue .
"Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid–Bose glass transition in one dimension". United States. https://doi.org/10.1103/physrevb.99.205147. https://www.osti.gov/servlets/purl/1580879.
@article{osti_1580879,
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 = {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.},
doi = {10.1103/physrevb.99.205147},
journal = {Physical Review. B},
number = 20,
volume = 99,
place = {United States},
year = {Tue May 28 00:00:00 EDT 2019},
month = {Tue May 28 00:00:00 EDT 2019}
}
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