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Dirac-Schwinger Quantization for Emergent Magnetic Monopoles?

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arxiv 2501.04704 v2 pith:FA3XR55B submitted 2024-12-23 cond-mat.str-el hep-ph

classification cond-mat.str-elhep-ph
keywords magneticchargequantizationconditiondiracdirac-schwingeremergentfrac
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abstract

In Refs.[1-4] Dirac and Schwinger showed the existence of a magnetic monopole required a charge quantization condition which we write following Dirac as $\frac{eg}{4\pi\hbar}=\frac{n}{2},\; n=0,\pm 1,\; \pm 2, \ldots$. Here, $g$ is the magnetic monopole charge and $e$ is the electric charge of the positron. Recently, in Refs. [5,6], it has been shown experimentally that frustrated spin-ice systems exhibit 'emergent' magnetic monopoles. We show that, within the experimental errors, the respective magnetic charges obey the Dirac-Schwinger quantization condition. Possible implications are discussed.

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