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arXiv · 1701.03680

Photonic Versus Electronic Quantum Anomalous Hall Effect

O. Bleu·D. D. Solnyshkov·G. Malpuech
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Abstract

We derive the diagram of the topological phases accessible within a generic Hamiltonian describing quantum anomalous Hall effect for photons and electrons in honeycomb lattices in presence of a Zeeman field and Spin-Orbit Coupling (SOC). The two cases differ crucially by the winding number of their SOC, which is 1 for the Rashba SOC of electrons, and 2 for the photon SOC induced by the energy splitting between the TE and TM modes. As a consequence, the two models exhibit opposite Chern numbers $\pm 2$ at low field. Moreover, the photonic system shows a topological transition absent in the electronic case. If the photonic states are mixed with excitonic resonances to form interacting exciton-polaritons, the effective Zeeman field can be induced and controlled by a circularly polarized pump. This new feature allows an all-optical control of the topological phase transitions.

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O. Bleu, D. D. Solnyshkov, G. Malpuech. 2017-01-13. Photonic Versus Electronic Quantum Anomalous Hall Effect. https://doi.org/10.1103/physrevb.95.115415

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