NMR relaxation in the spin-1 Heisenberg chain

2019/05/31 by Sylvain Capponi, Maxime Dupont, Anders W. Sandvik +1 · 1 citation
Physics and Astronomy · #Antiferromagnetism #Approx #Chain (unit) #Condensed matter physics #Diffusion #Heisenberg model #Isotropy #Lattice (music) #Paramagnetism #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Spin (aerodynamics) #Spin diffusion #Spin–lattice relaxation #Theoretical and Computational Physics #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.100.094411

published as Phys. Rev. B 100, 094411 (2019) · published version

openalex publication_date 2019/09/09 · arxiv created 2019/09/18 · arxiv updated 2019/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We consider the isotropic S=1 Heisenberg chain with a finite Haldane gap \mathrm\ensuremathΔ 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\ensuremath≈0 and q\ensuremath≈\ensuremathπ as a function of temperature. At high-temperature we observe spin diffusion, while at low-temperature we argue that a simple activated behavior 1/T₁\ensuremath∝exp(\ensuremath-\mathrm\ensuremathΔ/T) can be observed only at temperatures much smaller than the gap \mathrm\ensuremathΔ.

Citations

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• Continuous Matrix Product Operator Approach to Finite Temperature Quantum States