Space-Dependent Symmetries and Fractons

Frontiers in Physics, vol. 9

Abstract

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.

Authors 4

1. Kevin T. Grosvenor Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz, Universiteit Leiden, Leiden, Netherlands

2. Carlos Hoyos

   Universidad de Oviedo

   Affiliation as printed

   Department of Physics and Instituto de Ciencias y Tecnologías Espaciales de Asturias (ICTEA) Universidad de Oviedo, C/ Federico García Lorca 18, Oviedo, Spain

3. Francisco Peña-Benítez

   Wrocław University of Science and Technology · Complexity, Topology and Dynamics in Quantum Matter · Max Planck Institute for the Physics of Complex Systems

   Affiliation as printed

   Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland

   Max Planck Institute for the Physics of Complex Systems and Würzburg-Dresden Cluster of Excellence Ct.qmat, Dresden, Germany

4. Piotr Surówka corresponding

   Wrocław University of Science and Technology · Complexity, Topology and Dynamics in Quantum Matter · Max Planck Institute for the Physics of Complex Systems

   Affiliation as printed

   Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland

   Max Planck Institute for the Physics of Complex Systems and Würzburg-Dresden Cluster of Excellence Ct.qmat, Dresden, Germany