Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion

Abstract

In the vanadium oxyfluoride compound (NH${}_4$)${}_2$[C${}_7$H${}_{14}$N][V${}_7$O${}_6$F${}_{18}$] (DQVOF), the V${}^{4+}$ (3d${}^1$, $S=1/2$) ions realize a unique, highly frustrated breathing kagome lattice composed of alternately-sized, corner-sharing equilateral triangles. Here we present an ${}^{17}$O NMR study of DQVOF, which isolates the local susceptibility of the breathing kagome network. By a fit to series expansion we extract the ratio of the interactions within the breathing kagome plane, $J_{▽}/J_{△}=0.55(4)$, and the mean antiferromagnetic interaction $\bar{J}=60(7)$~K. Spin lattice, $T_1$, measurements reveal an essentially gapless excitation spectrum with a maximum gap $\Delta /\bar{J}=0.007(7)$. Our study provides new impetus for further theoretical investigations in order to establish whether the gapless spin liquid behavior displayed by DQVOF is intrinsic to its breathing kagome lattice or whether it is due to perturbations to this model, such as a residual coupling of the V${}^{4+}$ ions in the breathing kagome planes to the interlayer V${}^{3+}$ ($S=1$) spins.

arXiv comment5 pages, 4 figures, to appear in Phys. Rev. Lett

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Cited by in corpus (30)

• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Topological states on the breathing kagome lattice
• Magnetism of the N=42 kagome lattice antiferromagnet
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Experimental signatures of quantum and topological states in frustrated magnetism
• Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
• Effect of perturbations on the kagome $S=1/2$ antiferromagnet at all temperatures
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• Stability of the spin-$1/2$ kagome ground state with breathing anisotropy
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Ground-state and thermodynamic properties of the spin-$\frac{1}{2}$ Heisenberg model on the anisotropic triangular lattice
• Emergent skyrmion-based chiral order in zero-field Heisenberg antiferromagnets on the breathing kagome lattice
• Topological ${\mathbb{Z}}_2$ RVB quantum spin liquid on the ruby lattice
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• Gapped $Z_2$ spin liquid in the breathing kagome Heisenberg antiferromagnet
• Spatial Coherence of a Strongly Interacting Bose Gas in the Trimerized Kagome Lattice
• High temperature series expansions of S = 1/2 Heisenberg spin models: algorithm to include the magnetic field with optimized complexity
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
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• Phase Diagram of a Spin-ice Kondo Lattice Model in a Breathing Pyrochlore Lattice
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