Floquet quantum criticality

Proceedings of the National Academy of Sciences of the United States of America
William BerdanierR Vasseur

Abstract

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure. Working in the fermionic representation of the prototypical Floquet Ising chain, we leverage infinite randomness physics to provide a simple description of Floquet (multi)criticality in terms of a distinct type of domain wall associated with time translational symmetry-breaking and the formation of "Floquet time crystals." We validate our analysis via numerical simulations of free-fermion models sufficient to capture the critical physics.

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Citations

May 6, 2019·Physical Review Letters·Ernesto P RaposoAnderson S L Gomes
Aug 28, 2020·Physical Review Letters·Koki Chinzei, Tatsuhiko N Ikeda
Sep 11, 2020·Physical Review Letters·Andrew C PotterVictor Gurarie
Oct 22, 2019·Physical Review Letters·Toni L HeugelR Chitra
Feb 29, 2020·Physical Review Letters·V BorishM Schleier-Smith
Apr 10, 2021·Physical Review Letters·A SakuraiKae Nemoto

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