Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation

Physical Review Letters (submitted), (2019)

Light-induced anomalous Hall effect in massless Dirac fermion systems and topological insulators with dissipation

S. A. Sato,P. Tang, M. A.Sentef,U. De Giovannini,H. Hubener, A. Rubio

Employing the quantum Liouville equation with phenomenological dissipation, we investigate the transport properties of massless and massive Dirac fermion systems that mimics graphene and topological insulators, respectively. The massless Dirac fermion system does not show an intrinsicHall effect, but it shows a Hall current under the presence of circularly-polarized laser fields as a nature of a optically-driven nonequilibrium state. Based on the microscopic analysis, we find that the light-induced Hall effect mainly originates from the imbalance of photocarrier distribution in momentum space although the emergent Floquet-Berry curvature also has a non-zero contribution. We further compute the Hall transport property of the massive Dirac fermion system with an intrinsic Hall effect in order to investigate the interplay of the intrinsic topological contribution and the extrinsic light-induced population contribution. As a result, we find that the contribution from the photocarrier population imbalance becomes significant in the strong field regime and it overcomes the intrinsic contribution. This finding clearly demonstrates that intrinsic transport properties of materials can be overwritten by external driving and may open a way to ultrafast optical-control of transport properties of materials.

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We acknowledge fruitful discussions with J.W. McIver, G. Jotzu, and A. Cavalleri. This work was supported by the European Research Council (ERC-2015- AdG694097). The Flatiron Institute is a division of the Simons Foundation. S.A.S. gratefully acknowledges the fellowship from the Alexander von Humboldt Foundation.M.A.S. acknowledges financial support by the DFG through the Emmy Noether programme (SE 2558/2- 1). P.T. acknowledges the received funding from the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 793609. A.R. acknowledges support from the Cluster of Excellence 'Advanced Imaging of Matter'(AIM)

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