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Electronic States and the Anomalous Hall Effect in Strongly Correlated Topological Systems

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Abstract

Elementary excitations, the spin-liquid state, and the anomalous Hall effect, including the quantum Hall effect, are considered in layered strongly correlated systems. The mechanisms of formation of a topological state associated with the bare flat energy bands, correlations, and the spin–orbit interaction, including the appearance of correlated Chern bands, are analyzed. A two-band picture of the spectrum in metallic kagome lattices is proposed, including the transition from a ferromagnetic state, a flat strongly correlated band, and a band of light Dirac electrons. In this case, the effect of separation of spin and charge degrees of freedom turns out to be significant. The application of the Kotliar–Ruckenstein slave-boson and the Ribeiro–Wen dopon representations to this problem is discussed.

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Funding

This work was carried out within the state assignment of the Ministry of Science and Higher Education of the Russian Federation (project “Flux” no. AAAA-A18-118020190112-8). The study of spin–orbit interaction effects in kagome lattices was supported by the Russian Science Foundation under grant no. 20-62-46047.

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  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, 620108, Yekaterinburg, Russia

    V. Yu. Irkhin & Yu. N. Skryabin

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  1. V. Yu. Irkhin
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Correspondence to V. Yu. Irkhin or Yu. N. Skryabin.

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Translated by I. Nikitin

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Irkhin, V.Y., Skryabin, Y.N. Electronic States and the Anomalous Hall Effect in Strongly Correlated Topological Systems. J. Exp. Theor. Phys. 133, 116–123 (2021). https://doi.org/10.1134/S1063776121060030

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