Space-Dependent Symmetries and Fractons

Kevin T. Grosvenor; Carlos Hoyos; Francisco Peña-Benítez; Francisco Peña-Benítez; Piotr Surówka; Piotr Surówka

doi:10.3389/fphy.2021.792621

Frontiers in Physics (Jan 2022)

Space-Dependent Symmetries and Fractons

Kevin T. Grosvenor,
Carlos Hoyos,
Francisco Peña-Benítez,
Francisco Peña-Benítez,
Piotr Surówka,
Piotr Surówka

Affiliations

Kevin T. Grosvenor: Instituut-Lorentz, Universiteit Leiden, Leiden, Netherlands
Carlos Hoyos: Department of Physics and Instituto de Ciencias y Tecnologías Espaciales de Asturias (ICTEA) Universidad de Oviedo, C/ Federico García Lorca 18, Oviedo, Spain
Francisco Peña-Benítez: Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland
Francisco Peña-Benítez: Max Planck Institute for the Physics of Complex Systems and Würzburg-Dresden Cluster of Excellence Ct.qmat, Dresden, Germany
Piotr Surówka: Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland
Piotr Surówka: Max Planck Institute for the Physics of Complex Systems and Würzburg-Dresden Cluster of Excellence Ct.qmat, Dresden, Germany

DOI: https://doi.org/10.3389/fphy.2021.792621
Journal volume & issue: Vol. 9

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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