Resonating color state and emergent chromodynamics in the kagome antiferromagnet

Abstract

We argue that the spin-wave breakdown in the Heisenberg kagome antiferromagnet signals an instability of the ground state and leads, through an emergent local constraint, to a quantum dynamics described by a gauge theory similar to that of chromodynamics. For integer spins, we show that the quantum fluctuations of the gauge modes select the sqrt(3)xsqrt(3) Neel state with an on-site moment renormalized by color resonances. We find non-magnetic low-energy excitations that may be responsible for a deconfinement "transition" at experimentally accessible temperatures which we estimate.

4 pages, 4 figures, v2: printable figs, v3: publ. version

References in corpus (4)

• Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice

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• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
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• Exactly solvable spin-1/2 XYZ models with highly-degenerate, partially ordered, ground states
• Evidence of Low-Energy Singlet Excited States in the Spin-1/2 Polyhedral Clusters {Mo${}_{72}$V${}_{30}$} and {W${}_{72}$V${}_{30}$} with Strongly Frustrated Kagomé Networks
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