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Condensed Matter > Mesoscale and Nanoscale Physics

Title: Hidden order in dielectrics: string condensation, solitons, and the charge-vortex duality

Abstract: Description of electrons as solitons of the polarization field implies that an ordinary dielectric has a hidden order, associated with the invariance with respect to adding loops of quantized electric flux. We describe the mechanism by which the finite polarizability of the medium renders the interaction between the solitons short-ranged (prior to their coupling to electromagnetism) and argue that the structure of the solitons allows them to be quantized as either fermions or bosons. At the quantum level, the theory has, in addition to the solitonic electric, elementary magnetic excitations, suggesting that small dielectrics may host quantized magnetic vortices carrying circular polarization currents.
Comments: 7 pages, 4 figures
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el); Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:2404.04672 [cond-mat.mes-hall]
  (or arXiv:2404.04672v1 [cond-mat.mes-hall] for this version)

Submission history

From: Sergei Khlebnikov [view email]
[v1] Sat, 6 Apr 2024 16:29:00 GMT (45kb,D)

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