2016/05/19 by J. Rehn, R. Moessner · 2 citations
Materials Science · Physics and Astronomy · #Chemical and Physical Properties of Materials #Coulomb #Electromagnetism #Fractionalization #Invariant (physics) #Lattice (music) #Magnetic monopole #Maxwell's equations #Quantum many-body systems #Topological Materials and Phenomena #Translational symmetry #cond-mat.str-el
paper · pdf · doi:10.1098/rsta.2016.0093
published as Phil. Trans. R. Soc. A 374 20160093 (2016) · Talk at Royal Society Symposium, "Unifying Physics and Technology in the Light of Maxwell's Equations", November 2015
arxiv created 2016/05/19 · openalex created_date 2016/06/24 · openalex publication_date 2016/07/26 · arxiv updated 2016/09/30 · openalex updated_date 2026/08/05
The formulation of a complete theory of classical electromagnetism by Maxwell is one of the milestones of science. The capacity of many-body systems to provide emergent mini-universes with vacua quite distinct from the one we inhabit was only recognized much later. Here, we provide an account of how simple systems of localized spins manage to emulate Maxwell electromagnetism in their low-energy behaviour. They are much less constrained by symmetry considerations than the relativistically invariant electromagnetic vacuum, as their substrate provides a non-relativistic background with even translational invariance broken. They can exhibit rich behaviour not encountered in conventional electromagnetism. This includes the existence of magnetic monopole excitations arising from fractionalization of magnetic dipoles; as well as the capacity of disorder, by generating defects on the lattice scale, to produce novel physics, as exemplified by topological spin glassiness or random Coulomb magnetism.This article is part of the themed issue 'Unifying physics and technology in light of Maxwell's equations'.