Abstract
We show that the Néel states of two-dimensional antiferromagnets have low energy vector boson excitations in the vicinity of deconfined quantum critical points. We compute the universal damping of these excitations arising from spin-wave emission. Detection of such a vector boson will demonstrate the existence of emergent topological gauge excitations in a quantum spin system.
Highlights
We show that the Neel states of two-dimensional antiferromagnets have low energy vector boson excitations in the vicinity of deconfined quantum critical points
Sandvik [5] has obtained convincing evidence of an emergent U(1) symmetry near the quantum critical point of a spin system, and this is strong, but indirect, evidence of an emergent, topological gauge excitation of a deconfined quantum critical point [6]; this does not yield any information on the excitation spectrum of the gauge boson
In this paper we propose that the antiferromagnetically ordered (i.e. Neel) phase of a quantum spin system near a deconfined quantum critical point has an emergent vector boson excitation which should be detectable in numerical studies, and possibly eventually in experiments
Summary
We show that the Neel states of two-dimensional antiferromagnets have low energy vector boson excitations in the vicinity of deconfined quantum critical points. In this paper we propose that the antiferromagnetically ordered (i.e. Neel) phase of a quantum spin system near a deconfined quantum critical point has an emergent vector boson excitation which should be detectable in numerical studies, and possibly eventually in experiments.
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