Spin dynamics and disorder effects in the S=1/2 kagome Heisenberg spin liquid phase of kapellasite

Abstract

We report ${}^{35}$Cl NMR, ESR, $\mu$SR and specific heat measurements on the $S=1/2$ frustrated kagomé magnet kapellasite, $\alpha -$Cu${}_3$Zn(OH)${}_6$Cl${}_2$, where a gapless spin liquid phase is stabilized by a set of competing exchange interactions. Our measurements confirm the ferromagnetic character of the nearest-neighbour exchange interaction $J_1$ and give an energy scale for the competing interactions $|J|\sim 10$ K. The study of the temperature-dependent ESR lineshift reveals a moderate symmetric exchange anisotropy term $D$, with $|D/J|\sim 3$%. These findings validate a posteriori the use of the $J_1-J_2-J_d$ Heisenberg model to describe the magnetic properties of kapellasite [Bernu et al., Phys. Rev. B 87, 155107 (2013)]. We further confirm that the main deviation from this model is the severe random depletion of the magnetic kagomé lattice by 27%, due to Cu/Zn site mixing, and specifically address the effect of this disorder by ${}^{35}$Cl NMR, performed on an oriented polycrystalline sample. Surprisingly, while being very sensitive to local structural deformations, our NMR measurements demonstrate that the system remains homogeneous with a unique spin susceptibility at high temperature, despite a variety of magnetic environments. Unconventional spin dynamics is further revealed by NMR and $\mu$SR in the low-$T$, correlated, spin liquid regime, where a broad distribution of spin-lattice relaxation times is observed. We ascribe this to the presence of local low-energy modes.

arXiv comment15 pages, 11 figures. To appear in Phys. Rev. B

References in corpus (35)

• Spin Liquid Ground State of the $S=1/2$ Kagome Heisenberg Model
• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• 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
• Spin-1/2 Kagome Like Lattice in Volborthite Cu3V2O7(OH)2-H2O
• Controlling frustrated liquids and solids with an applied field in a kagome Heisenberg antiferromagnet
• Dirac, Anderson, and Goldstone on the Kagome
• 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${}_2$
• The magnetic groundstate of an experimental $S=1/2$ kagomé antiferromagnet
• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Unconventional Dynamics in Triangular Heisenberg Antiferromagnet NaCrO2
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Anisotropic Exchange in LiCuVO${}_4$ probed by ESR
• A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors
• Toward Perfection: Kapellasite, Cu3Zn(OH)6Cl2, a New Model S = 1/2 Kagome Antiferromagnet
• Susceptibility and dilution effects of the kagome bi-layer geometrically frustrated network. A Ga-NMR study of SrCr_(9p)Ga_(12-9p)O_(19)
• Renormalization group analysis of competing quantum phases in the J1-J2 Heisenberg model on the kagome lattice
• Dzyaloshinsky-Moriya interaction in vesignieite: A route to freezing in a quantum kagome antiferromagnet
• Static impurities in the kagome lattice: dimer freezing and mutual repulsion
• Dzyaloshinskii-Moriya anisotropy and non-magnetic impurities in the $s=1/2$ kagome system ZnCu_3(OH)_6Cl_2
• Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
• 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
• Spin dynamics in the S =1/2 kagome compound vesignieite, Cu3Ba(VO5H)2
• X-Band ESR Determination of Dzyaloshinsky-Moriya Interaction in 2D SrCu${}_2$(BO${}_3$)${}_2$ System
• Chirality and $Z_2$ vortices in an Heisenberg spin model on the kagomé lattice
• Distribution of NMR relaxations in a random Heisenberg chain
• Intrinsic susceptibility and bond defects in the novel 2D frustrated antiferromagnet Ba${}_2$Sn${}_2$ZnCr${}_{7p}$Ga${}_{10-7p}$O${}_{22}$
• Symmetric and antisymmetric exchange anisotropies in quasi-one-dimensional CuSe${}_2$O${}_5$ as revealed by ESR
• Exact Analysis of ESR Shift in the Spin-1/2 Heisenberg Antiferromagnetic Chain
• Impurity-doped Kagome Antiferromagnet: A Quantum Dimer Model Approach
• Inhomogeneous magnetism in the doped kagome lattice of LaCuO2.66
• Thermal destruction of chiral order in a two-dimensional model of coupled trihedra
• Dynamic fields in the partial magnetization plateau of Ca3Co2O6

Cited by in corpus (39)

• Projective symmetry group classification of chiral spin liquids
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Gapless chiral spin liquid in a kagome Heisenberg model
• Spin Thermal Hall Conductivity of a Kagomé Antiferromagnet
• Spin Liquid State in the 3D Frustrated Antiferromagnet PbCuTe2O6: NMR and muSR Studies
• Quantum Magnetism in Minerals
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Haydeeite: a spin-1/2 kagome ferromagnet
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Experimental signatures of quantum and topological states in frustrated magnetism
• Frozen State and Spin Liquid Physics in Na4Ir3O8: an NMR study
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Thermal Hall Effects of Spins and Phonons in Kagome Antiferromagnet Cd-Kapellasite
• Origin of Magnetic Ordering in a Structurally-Perfect Quantum Kagome Antiferromagnet
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Quantum phase diagram of the spin-$1$ $J_1-J_2$ Heisenberg model on the honeycomb lattice
• Electron Spin Resonance on the spin-1/2 triangular magnet NaYbS2
• Spin susceptibility of quantum magnets from high to low temperatures
• Local study of the insulating quantum kagome antiferromagnets YCu3(OH)6OxCl3-x (x=0,1/3)
• Ground state phase diagram of dipolar-octupolar pyrochlores
• $\mathbf{q}=0$ long-range magnetic order in centennialite CaCu${}_3$(OD)${}_6$Cl${}_2$$\cdot$0.6D${}_2$O: A spin-1/2 perfect kagome antiferromagnet with $J_1$-$J_2$-$J_d$
• Instabilities of Spin-Liquid States in a Quantum Kagome Antiferromagnet
• Classical Spin Liquid State in the $S=\frac{5}{2}$ Heisenberg Kagomé Antiferromagnet Li${}_9$Fe${}_3$(P${}_2$O${}_7$)${}_3$(PO${}_4$)${}_2$
• Emergent quasi-one-dimensionality in a kagomé magnet: A simple route to complexity
• $\mu$SR Insight into the Impurity Problem in Quantum Kagome Antiferromagnets
• Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Antiferromagnetism in kagome $\alpha$-Cu${}_3$Mg(OH)${}_6$Br${}_2$
• 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
• Anisotropic magnetic excitations from single-chirality antiferromagnetic state in Ca-kapellasite
• Magnetically ordered and kagome quantum spin liquid states in the Zn-doped claringbullite series
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Emergence of Frustrated Short-Range Order above Long-Range Order in the $S=1/2$ Kagome Antiferromagnet CaCu${}_3$(OD)${}_6$Cl${}_2\cdot 0.6$D${}_2$O
• Observation of a gapped phase in the one-dimensional $S=\frac{1}{2}$ Heisenberg antiferromagnetic chain Cu(Ampy)ClBr
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Magnetic excitations in the 1/3 plateau state in InCu${}_3$(OH)${}_6$Cl${}_3$
• Exerting chemical pressure on the kagome lattice as frustration control in the kapellasite family $A$Cu${}_3$(OH)${}_{6+x}$(Cl,Br)${}_{3-x}$
• Emergence of a Fluctuating Ground State in Y-kapellasite under Pressure