p6 - Chiral Resonating Valence Bonds in the Kagome Antiferromagnet

Abstract

The Kagome Heisenberg antiferromagnet is mapped onto an effective Hamiltonian on the star superlattice by Contractor Renormalization. Comparison of ground state energies on large lattices to Density Matrix Renormalization Group justifies truncation of effective interactions at range 3. Within our accuracy, magnetic and translational symmetries are not broken (i.e. a spin liquid ground state). However, we discover doublet spectral degeneracies which signal the onset of p6 - chirality symmetry breaking. This is understood by simple mean field analysis. Experimentally, the p6 chiral order parameter should split the optical phonons degeneracy near the zone center. Addition of weak next to nearest neighbor coupling is discussed.

7 pages, 5 figures including supplementary material

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• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Nature of chiral spin liquids on the kagome lattice
• Gapless chiral spin liquid in a kagome Heisenberg model
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Frustrated magnetism and resonating valence bond physics in two-dimensional kagome-like magnets
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• Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals
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• Quantum domain walls induce incommensurate supersolid phase on the anisotropic triangular lattice
• Microscopic theory of the nearest-neighbor valence bond sector of the spin-1/2 kagome antiferromagnet
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• Continuous phase transition from Néel state to Z_2 spin liquid state on a square lattice
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Valence bond solid and possible deconfined quantum criticality in an extended kagome lattice Heisenberg antiferromagnet
• Infrared phonons as a probe of a spin-liquid states in herbertsmithite ZnCu3(OH)6Cl2
• Quantum half-orphans in kagome antiferromagnets
• Microscopic properties of the "pinwheel" kagome compound Rb_2Cu_3SnF_{12}
• Tunable anisotropic superfluidity in an optical kagome superlattice
• How local is the information in MPS/PEPS tensor networks?
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Geometric frustration and Dzyaloshinskii-Moriya interactions in a quantum star lattice hybrid copper sulfate
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays