Atomic scale; Bloch oscillations; Fourier components; Hall conductivity; Optical response; Real-space; Space periodicity; Static electric fields; Static fields; Tera Hertz; Physics and Astronomy (all); Physics - Mesoscopic Systems and Quantum Hall Effect
Résumé :
[en] Artificial crystals such as moiré superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate that the optical response of such a system, when dressed with a static field, becomes resonant at the frequencies of Bloch oscillations, which are in the terahertz regime when the lattice constant is of the order of 10 nm. In particular, we show within a semiclassical band-projected theory that resonances in the dressed Hall conductivity are proportional to the lattice Fourier components of the Berry curvature. We illustrate our results with a low-energy model on an effective honeycomb lattice.
Disciplines :
Physique
Auteur, co-auteur :
DE BEULE, Christophe ; University of Luxembourg > Faculty of Science, Technology and Medicine > Department of Physics and Materials Science > Team Thomas SCHMIDT
Mele, E J ; Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Berry Curvature Spectroscopy from Bloch Oscillations.
Fonds National de la Recherche Luxembourg U.S. Department of Energy
Subventionnement (détails) :
We thank V. T. Phong for discussions. This research was funded in whole, or in part, by the Luxembourg National Research Fund (FNR) (Project No. 16515716). C. D. B. and E. J. M. are supported by the Department of Energy under Grant No. DE-FG02-84ER45118.
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To construct a wave packet (Equation presented), the Bloch states (Equation presented) should be smooth on the BZ torus, i.e., (Equation presented) with (Equation presented) a reciprocal lattice vector. This is periodic gauge [30] and yields (Equation presented), in contrast to (Equation presented) for which the Bloch Hamiltonian is periodic (Bloch form). The Berry curvature is generally different in both gauges.
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See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.131.196603 for a detailed calculation of the occupation function and the dressed optical conductivity.
Note that one also has to transform (Equation presented) such that (Equation presented) is nonzero even in the presence of mirror symmetry.
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