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arXiv · 2304.11364

Cavity-induced charge transfer in periodic systems: length-gauge formalism

Ekaterina Vlasiuk·Valerii K. Kozin·Jelena Klinovaja·Daniel Loss·Ivan V. Iorsh·Ilya V. Tokatly
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Abstract

We develop a length-gauge formalism for treating one-dimensional periodic lattice systems in the presence of a photon cavity inducing light-matter interaction. The purpose of the formalism is to remove mathematical ambiguities that occur when defining the position operator in the context of the Power-Zienau-Woolley Hamiltonian. We then use a diagrammatic approach to analyze perturbatively the interaction between an electronic quantum system and a photonic cavity mode of long wavelength. We illustrate the versatility of the formalism by studying the cavity-induced electric charge imbalance and polarization in the Rice-Mele model with broken inversion symmetry.

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Ekaterina Vlasiuk, Valerii K. Kozin, Jelena Klinovaja, Daniel Loss, Ivan V. Iorsh, Ilya V. Tokatly. 2023-04-22. Cavity-induced charge transfer in periodic systems: length-gauge formalism. https://doi.org/10.1103/physrevb.108.085410

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