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Berry Curvature Spectroscopy from Bloch Oscillations.

Christophe De Beule1,2, E J Mele1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

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|November 24, 2023
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Summary
This summary is machine-generated.

Artificial crystals with large periodicities exhibit Bloch oscillations under electric fields. Their optical response resonates at terahertz frequencies, linked to Berry curvature components.

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Area of Science:

  • Condensed matter physics
  • Solid-state physics
  • Materials science

Background:

  • Artificial crystals like moiré superlattices offer tunable electronic properties.
  • Bloch oscillations are quantum mechanical phenomena occurring in periodic potentials under electric fields.
  • Terahertz (THz) frequencies are relevant for advanced spectroscopy and electronics.

Purpose of the Study:

  • To investigate the optical response of artificial crystals subjected to static electric fields.
  • To explore the connection between Bloch oscillations and resonant optical phenomena.
  • To theoretically model the THz optical response and its relation to material properties.

Main Methods:

  • Utilizing a semiclassical band-projected theory.
  • Analyzing the optical response of moiré superlattices under static electric fields.
  • Calculating dressed Hall conductivity and its dependence on Berry curvature.

Main Results:

  • Optical response shows resonances at Bloch oscillation frequencies in the THz regime.
  • Resonances in dressed Hall conductivity are directly proportional to lattice Fourier components of Berry curvature.
  • Demonstrated with a low-energy model on an effective honeycomb lattice.

Conclusions:

  • Static electric fields can induce THz-frequency resonances in artificial crystals.
  • Berry curvature's Fourier components are key determinants of these THz optical resonances.
  • This work provides a theoretical framework for designing materials with tailored THz responses.