A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
arxiv(2024)
摘要
Classical spin-liquids are paramagnetic phases which feature nontrivial
patterns of spin correlations within their ground-state manifold whose
degeneracy scales with system size. Often they harbor fractionalized
excitations, and their low-energy fluctuations are described by emergent gauge
theories. In this work, we discuss a model composed of chiral three-body spin
interactions on the pyrochlore lattice that realizes a novel classical chiral
spin-liquid. Employing both analytical and numerical techniques, we show that
the ground-state manifold of this spin-liquid is given by a subset of the
so-called color-ice states. We demonstrate that the ground states are captured
by an effective gauge theory which possesses a divergence-free condition and an
additional chiral term that constrains the total flux of the fields through a
single tetrahedron. The divergence-free condition results in two-fold pinch
points in the spin structure factor and the identification of bionic charges as
the elementary excitations of the system. We discuss how the mobility of these
elementary charges is restricted by the additional chiral term, which in turn
suggests that these charges are fractons.
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