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