Theory of Néel and Valence-Bond-Solid Phases on the Kagome Lattice of Zn-paratacamite

Abstract

Recently, neutron scattering data on powder samples of Zn-paratacamite, Zn${}_x$Cu${}_{4-x}$(OH)${}_6$Cl${}_2$, with small Zn concentration has been interpreted as evidence for valence bond solid and Néel ordering [1]. We study the classical and quantum Heisenberg models on the distorted kagome lattice appropriate for Zn-paratacamite at low Zn doping. Our theory naturally leads to the emergence of the valence bond solid and collinear magnetic order at zero temperature. Implications of our results to the existing experiments are discussed. We also suggest future inelastic neutron and X-ray scattering experiments that can test our predictions.

arXiv comment4+ pages, 4 figures; 2 page appendix. This version some clarifications and a two page appendix added

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Cited by in corpus (8)

• Synthesis and Characterization of Single Crystal Samples of Spin-$1/2$ Kagome Lattice Antiferromagnets in the Zn-Paratacamite Family Zn${}_x$Cu${}_{4-x}$(OH)${}_6$Cl${}_2$
• Vison states and confinement transitions of Z2 spin liquids on the kagome lattice
• Valence bond solid states with symplectic symmetry
• External magnetic field effects on a distorted kagome antiferromagnet
• Valence Bond Solid Phases on Deformed Kagome Lattices: Application to Rb2Cu3SnF12
• Classification of quantum phases for the star-lattice antiferromagnet via a projective symmetry group analysis
• Deconfined quantum criticality and logarithmic violations of scaling from emergent gauge symmetry
• Neel and Valence Bond Crystal Order on a Distorted Kagome Lattice: Implications For Zn-Paratacamite