Dynamics of a Heisenberg spin chain in the quantum critical regime: NMR experiment versus effective field theory

Abstract

A comprehensive comparison between the magnetic field- and temperature-dependent low frequency spin dynamics in the antiferromagnetic spin-1/2 Heisenberg chain (AFHC) system copper pyrazine dinitrate, probed via the 13C-nuclear magnetic resonance (NMR) relaxation rate 1/T1, and the field theoretical approach in the Luttinger liquid (LL) regime has been performed. We have found a very good agreement between the experiment and theory in the investigated temperature and field range. Our results demonstrate how strongly the quantum critical point affects the spin dynamics of Heisenberg spin chain compounds.

5 pages, 3 figures

References in corpus (11)

• Quantum magnetism and criticality
• Universal theory of nonlinear Luttinger liquids
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
• The fate of 1D spin-charge separation away from Fermi points
• Quantum critical dynamics of a S = 1/2 antiferromagnetic Heisenberg chain studied by 13C-NMR spectroscopy
• Magnetic phase diagram of a quasi-one-dimensional quantum spin system
• Low frequency spin dynamics in the quantum magnet copper pyrazine dinitrate

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• Exact solution of time-dependent Lindblad equations with closed algebras
• Spin diffusion in the low-dimensional molecular quantum Heisenberg antiferromagnet Cu(pyz)(NO${}_3$)${}_2$ detected with implanted muons
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Finite-temperature correlations in a quantum spin chain near saturation
• Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg $S=1/2$ chain
• Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
• Dimensional crossover of spin chains in a transverse staggered field: an NMR study
• Noise in tunneling spin current across coupled quantum spin chains
• Exchange constants in molecule-based magnets derived from density functional methods
• Giant caloric effects in spin chain materials