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Floquet fractional Chern insulators.

Adolfo G Grushin1, Álvaro Gómez-León2, Titus Neupert3

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This summary is machine-generated.

Periodically driven systems can realize fractional Chern insulator states. These states exhibit spontaneous ferromagnetism and topological phase transitions, offering new avenues for quantum materials research.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Phases of Matter

Background:

  • Fractional Chern insulators are exotic topological states of matter.
  • Realizing these states experimentally is a significant challenge in condensed matter physics.
  • Periodically driven systems offer a tunable platform for exploring novel quantum phenomena.

Purpose of the Study:

  • To theoretically demonstrate the feasibility of realizing fractional Chern insulator states in driven systems.
  • To identify specific lattice models and experimental platforms for achieving these states.
  • To investigate the properties of the emergent topological states, including symmetry breaking.

Main Methods:

  • Application of Floquet theory to derive the effective band structure of driven lattices.
  • Exact numerical diagonalization to study interacting electrons in the driven systems.
  • Analysis of lattice models including the honeycomb and square lattices.

Main Results:

  • Fractional Chern insulator states, analogous to the 1/3 Laughlin state, were theoretically predicted.
  • These states emerge at specific fractional fillings (e.g., 7/12 total filling).
  • The predicted states exhibit spontaneous ferromagnetism, indicating continuous symmetry breaking and topological phase transitions.

Conclusions:

  • Periodically driven systems with short-range Hubbard interactions provide a viable experimental route to fractional Chern insulators.
  • Driven honeycomb and square lattices serve as concrete examples for experimental realization.
  • The discovered states represent a novel class of topological matter with potential applications in quantum technologies.