Journal
PHYSICAL REVIEW B
Volume 96, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.96.245116
Keywords
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Funding
- NSF [DMR-1519579, DMR-1653007]
- Sloan [FG-2015-65244]
- Simons Investigator Award
- AFOSR MURI [FA9550-14-1-0035]
- Kavli Institute of Theoretical Physics
- National Science Foundation [NSF PHY11-25915]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1824632] Funding Source: National Science Foundation
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We theoretically discover a family of nonequilibrium fractional topological phases in which time-periodic driving of a 2D system produces excitations with fractional statistics, and produces chiral quantum channels that propagate a quantized fractional number of qubits along the sample edge during each driving period. These phases share some common features with fractional quantum Hall states, but are sharply distinct dynamical phenomena. Unlike the integer-valued invariant characterizing the equilibrium quantum Hall conductance, these phases are characterized by a dynamical topological invariant that is a square root of a rational number, inspiring the label: radical chiral Floquet phases. We construct solvable models of driven and interacting spin systems with these properties, and identify an unusual bulk-boundary correspondence between the chiral edge dynamics and bulk anyon time-crystal order characterized by dynamical transmutation of electric-charge into magnetic-flux excitations in the bulk.
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