Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2

Abstract

We compute the magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice with high-temperature expansions and exact diagonalizations. We compare the results with the experimental data on ZnCu3(OH)6Cl2 obtained by Helton et al. [Phys. Rev. Lett. 98, 107204 (2007)]. Down to k_BT/J~0.2, our calculations reproduce accurately the experimental susceptibility, with an exchange interaction J~190K and a contribution of 3.7% of weakly interacting impurity spins. The comparison between our calculations of the specific heat and the experiments indicate that the low-temperature entropy (below ~20K) is smaller in ZnCu3(OH)6Cl2 than in the kagome Heisenberg model, a likely signature of other interactions in the system.

Minor revisions in the text and references. To appear in Eur. Phys. J. B

References in corpus (6)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Quantum spin liquid states in the two dimensional kagome antiferromagnets, ZnxCu4-x(OD)6Cl2
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Magnetic Susceptibility of the Kagome Antiferromagnet ZnCu3(OH)6Cl2

Cited by in corpus (62)

• Gapless spin-liquid ground state in the $S=1/2$ kagome antiferromagnet
• Properties of an algebraic spin liquid on the kagome lattice
• 17O NMR study of the intrinsic magnetic susceptibility and spin dynamics of the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Quantum phase transition induced by Dzyaloshinskii-Moriya in the kagome antiferromagnet
• Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagomé Compound ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Quantum Kagome antiferromagnet ZnCu3(OH)6Cl2
• The magnetic groundstate of an experimental $S=1/2$ kagomé 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
• Magnetism of the N=42 kagome lattice antiferromagnet
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Low energy excitations of the kagome antiferromagnet and the spin gap issue
• A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors
• Triplet and Singlet Excitations in the Valence Bond Crystal Phase of Kagome Lattice Heisenberg Model
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Valence Bond Glass Phase in the Diluted Kagome Antiferromagnets
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• Quantum Magnetism in Minerals
• Spin Liquid Ground State in the Frustrated Kagome Antiferromagnet MgCu3(OH)6Cl2
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Thermodynamics of Spin-1/2 Kagomé Heisenberg Antiferromagnet: Algebraic Paramagnetic Liquid and Finite-Temperature Phase Diagram
• Spatially Anisotropic Heisenberg Kagome Antiferromagnet
• Singlet Ground State and Spin Gap in S=1/2 Kagome Antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Magnetic susceptibilities in a family of S=1/2 Kagome antiferromagnet
• Local Spin Susceptibility of the S=1/2 Kagome Lattice in ZnCu3(OD)6Cl2
• Ground State and Intrinsic Susceptibility of the Kagome Antiferromagnet Vesignieite as seen by 51V NMR
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Spin susceptibility of quantum magnets from high to low temperatures
• Quantum fluctuations in high field magnetization of 2D square lattice J1-J2 antiferromagnets
• Spontaneous spin ordering of Dirac spin liquid in a magnetic field
• Finite-temperature crossover phenomenon in the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice
• Quantum kagome antiferromagnet: ZnCu3(OH)6Cl2
• Weak Ferromagnetic Exchange and Anomalous Specific Heat in ZnCu3(OH)6Cl2
• Spin-1/2 kagome compounds: volborthite vs herbertsmithite
• High-Field ESR Measurements of S=1/2 Kagome Lattice Antiferromagnet BaCu${}_3$V${}_2$O${}_8$(OH)${}_2$
• Large Negative Quantum Renormalization of Excitation Energies in the Spin-1/2 Kagome Lattice Antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• The antiferromagnetic $S=1/2$ Heisenberg model on the ${\text{C}}_{60}$ fullerene geometry
• Studies of non-magnetic impurities in the spin-1/2 Kagome Antiferromagnet
• Spin Triplet Excitations for a Valence Bond Solid on the Kagome Lattice
• Electronic structure and magnetic properties of Li_2ZrCuO_4 - a spin 1/2 Heisenberg system in vicinity to a quantum critical point
• Dynamical spin correlations of the kagome antiferromagnet
• Decorated Shastry-Sutherland lattice in the spin-1/2 magnet CdCu2(BO3)2
• The symmetry of the spin Hamiltonian in herbertsmithite, a spin-1/2 kagomé lattice
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Disorder effects in the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Asymmetric melting of one-third plateau in kagome quantum antiferromagnets
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Nuclear relaxation rates in the Herbertsmithite Kagome antiferromagnets ZnCu3(OH)6Cl2
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Spin Anisotropy in ZnCu_3(OH)_6Cl_2
• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb
• Spin Liquid Mimicry in the Hydroxide Double Perovskite CuSn(OH)${}_6$ Induced by Correlated Proton Disorder