Microscopic theory for the light-induced anomalous Hall effect in graphene

Physical Review B 99, 214302 (2019)

Microscopic theory for the light-induced anomalous Hall effect in graphene

S. A. Sato, J. W. McIver, M. Nuske, P. Tang, G. Jotzu, B. Schulte, H. Hübener, U. De Giovannini, L. Mathey, M. A. Sentef, A. Cavalleri,, A. Rubio

We employ a quantum Liouville equation with relaxation to model the recently observed anomalous Hall effect in graphene irradiated by an ultrafast pulse of circularly polarized light. In the weak-field regime, we demonstrate that the Hall effect originates from an asymmetric population of photocarriers in the Dirac bands. By contrast, in the strong-field regime, the system is driven into a nonequilibrium steady state that is well described by topologically nontrivial Floquet-Bloch bands. Here, the anomalous Hall current originates from the combination of a population imbalance in these dressed bands together with a smaller anomalous velocity contribution arising from their Berry curvature. This robust and general finding enables the simulation of electrical transport from light-induced Floquet-Bloch bands in an experimentally relevant parameter regime and creates a pathway to designing ultrafast quantum devices with Floquet-engineered transport properties.

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This work was supported by the European Research Council (ERC-2015-AdG694097) and the Deutsche Forschungsgemeinschaft through the SFB 925. 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 program (SE 2558/2-1). P.T. acknowledges the received funding from the European Unions Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No 793609. M.N. acknowledges support from Stiftung der Deutschen Wirtschaft. L.M., A.R., and A.C. acknowledge support from the Cluster of Excellence Advanced Imaging of Matter (AIM).

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