NMR relaxation in the spin-1 Heisenberg chain
Abstract
For this research, we consider the isotropic S = 1 Heisenberg chain with a finite Haldane gap Δ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation rate 1/T1 measured in nuclear magnetic resonance (NMR) experiments, for instance. In particular, we analyze the contributions from modes with momenta close to q ≈ 0 and q ≈ π as a function of temperature. At higherature we observe spin diffusion, while at lowerature we argue that a simple activated behavior 1/T1 exp (-Δ/T) can be observed only at temperatures much smaller than the gap Δ.
- Authors:
-
[1];
- Université de Toulouse, CNRS, UPS (France); Boston Univ., MA (United States)
- Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Université de Toulouse, CNRS, UPS (France); Boston Univ., MA (United States)
- Boston Univ., MA (United States); Chinese Academy of Sciences (CAS), Beijing (China). Beijing National Laboratory for Condensed Matter Physics and Inst. of Physics
- Nanyang Technological Univ. (Singapore)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF); Ministry of Education, Singapore; GENCI
- OSTI Identifier:
- 1580924
- Alternate Identifier(s):
- OSTI ID: 1560769
- Grant/Contract Number:
- AC02-05CH11231; DMR-1710170; MOE2015-T1-001-0056; x2016050225; x2017050225; ANR-14-CE32-0018; ANR-11-IDEX-0002-02
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 9; 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; Antiferromagnetism; Spin dynamics; 1-dimensional spin chains; Heisenberg model; Nuclear magnetic resonance; Quantum spin chains; Spin lattice models
Citation Formats
Capponi, Sylvain, Dupont, Maxime, Sandvik, Anders W., and Sengupta, Pinaki. NMR relaxation in the spin-1 Heisenberg chain. United States: N. p., 2019.
Web. doi:10.1103/physrevb.100.094411.
Capponi, Sylvain, Dupont, Maxime, Sandvik, Anders W., & Sengupta, Pinaki. NMR relaxation in the spin-1 Heisenberg chain. United States. https://doi.org/10.1103/physrevb.100.094411
Capponi, Sylvain, Dupont, Maxime, Sandvik, Anders W., and Sengupta, Pinaki. Mon .
"NMR relaxation in the spin-1 Heisenberg chain". United States. https://doi.org/10.1103/physrevb.100.094411. https://www.osti.gov/servlets/purl/1580924.
@article{osti_1580924,
title = {NMR relaxation in the spin-1 Heisenberg chain},
author = {Capponi, Sylvain and Dupont, Maxime and Sandvik, Anders W. and Sengupta, Pinaki},
abstractNote = {For this research, we consider the isotropic S = 1 Heisenberg chain with a finite Haldane gap Δ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation rate 1/T1 measured in nuclear magnetic resonance (NMR) experiments, for instance. In particular, we analyze the contributions from modes with momenta close to q ≈ 0 and q ≈ π as a function of temperature. At higherature we observe spin diffusion, while at lowerature we argue that a simple activated behavior 1/T1 exp (-Δ/T) can be observed only at temperatures much smaller than the gap Δ.},
doi = {10.1103/physrevb.100.094411},
journal = {Physical Review B},
number = 9,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}
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