Nuclear relaxation rates in the Herbertsmithite Kagome antiferromagnets ZnCu3(OH)6Cl2

Abstract

Local spectral functions and Nuclear Magnetic Relaxation (NMR) rates, 1/T1, for the spin-half Heisenberg antiferromagnet on the Kagome Lattice are calculated using Moriyas Gaussian approximation, as well as through an extrapolation of multiple frequency moments. The temperature dependence of the calculated rates is compared with the oxygen 1/T1 NMR data in Herbertsmithite. We find that the Gaussian approximation for 1/T1 shows behavior qualitatively similar to experiments with a sharp drop in rates at low temperatures, consistent with a spin-gapped behavior. However, this approximation significantly underestimates the magnitude of 1/T1 even at room temperature. Rates obtained from extrapolation of multiple frequency moments give very good agreement with the room temperature NMR data with J = 195 +/- 20 K and hyperfine couplings determined independently from other measurements. The use of multiple frequency moments also leads to additional low frequency weight in the local structure factors. The convergence of our calculations with higher frequency moments breaks down at low temperatures suggesting the existence of longer range dynamic correlations in the system despite the very short-range static correlations.

arXiv comment5 pages 4 figures

References in corpus (38)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Fractionalized excitations in the spin liquid state of a kagomé lattice antiferromagnet
• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Identifying Topological Order by Entanglement Entropy
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
• Evidence for a Gapped Spin-Liquid Ground State in a Kagome Heisenberg Antiferromagnet
• Order versus Disorder in the Quantum Heisenberg Antiferromagnet on the Kagom{é} lattice: an approach through exact spectra analysis
• Gapless spin-liquid phase in the kagome spin-1/2 Heisenberg antiferromagnet
• Minimally Entangled Typical Thermal State Algorithms
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Ground State of the Kagome Lattice Heisenberg Antiferromagnet
• Minimally entangled typical quantum states at finite temperature
• Low-energy sector of the S=1/2 Kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• Spin-1/2 Heisenberg-Antiferromagnet on the Kagome Lattice: High Temperature Expansion and Exact Diagonalisation Studies
• Physics of low energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet
• ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
• Scale-free antiferromagnetic fluctuations in the S=1/2 kagome antiferromagnet herbertsmithite
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$ using Single Crystals
• Valence Bond Glass Phase in the Diluted Kagome Antiferromagnets
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Dynamics of the spin-half Heisenberg chain at intermediate temperatures
• Hidden long range order in Heisenberg Kagome antiferromagnets
• Local Spin Susceptibility of the S=1/2 Kagome Lattice in ZnCu3(OD)6Cl2
• Quantum-critical scaling and temperature-dependent logarithmic corrections in the spin-half Heisenberg chain
• Phenomenological Z_2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons

Cited by in corpus (6)

• Quantum Magnetism in Minerals
• Dynamical spin correlations of the kagome antiferromagnet
• Structure Factors of the Kagome-Lattice Heisenberg antiferromagnets at finite temperatures
• Emergence of the spin polarized domains in the kagome lattice Heisenberg antiferromagnet Zn-barlowite (Zn${}_{0.95}$Cu${}_{0.05}$)Cu${}_3$(OD)${}_6$FBr
• L-based numerical linked cluster expansion for square lattice models
• Emergence of a Fluctuating Ground State in Y-kapellasite under Pressure