Space-Dependent Symmetries and Fractons

There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the prop...

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Published inFrontiers in physics Vol. 9
Main Authors Grosvenor, Kevin T., Hoyos, Carlos, Peña-Benítez, Francisco, Surówka, Piotr
Format Journal Article
LanguageEnglish
Published Frontiers Media S.A 18.01.2022
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ISSN2296-424X
2296-424X
DOI10.3389/fphy.2021.792621

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Summary:There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. In this review we will discuss these symmetries, cover the effective description of gapless fractons via elastic duality, and discuss their hydrodynamics.
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2021.792621