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Quantized Magnetization Density in Periodically Driven Systems.

Frederik Nathan1, Mark S Rudner1, Netanel H Lindner2

  • 1Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark.

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Summary
This summary is machine-generated.

We found that micromotion in disordered, periodically driven 2D systems creates quantized orbital magnetization. This reveals the topological nature of a novel quantum phase, accessible via bulk measurements.

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Area of Science:

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

Background:

  • Disorder in periodically driven systems can lead to unique quantum phenomena.
  • Floquet eigenstates in such systems can exhibit localization due to disorder.
  • Understanding novel quantum phases requires robust characterization methods.

Purpose of the Study:

  • To investigate the role of micromotion in two-dimensional periodically driven systems with localized Floquet eigenstates.
  • To demonstrate the emergence of quantized orbital magnetization density.
  • To connect this phenomenon to the topological nature of a recently identified quantum phase.

Main Methods:

  • Theoretical study of micromotion in disordered 2D periodically driven systems.
  • Analysis of Floquet eigenstates and their localization properties.
  • Derivation of time-averaged orbital magnetization density.

Main Results:

  • Micromotion in these systems results in a quantized time-averaged orbital magnetization density in fermion-filled regions.
  • This quantization is shown to have a topological origin.
  • The findings elucidate the physical characteristics of a new topological phase.

Conclusions:

  • The topological index of this novel phase is directly accessible through bulk measurements.
  • An experimental protocol using cold-atom interferometry is proposed for verification.
  • This work bridges theoretical predictions with potential experimental realization.