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    Quantum geometry in low-energy linear and nonlinear optical responses of the magnetic Rashba semiconductor (Ge,Mn)Te

    Tsubasa Takagi1,2,*, Hikaru Watanabe3, Ryutaro Yoshimi2,4, Yuki Sato2, Shingo Toyoda2, Atsushi Tsukazaki5, Kei S. Takahashi2, Masashi Kawasaki1,2, Yoshinori Tokura1,2,6 et al.

    Naoki Ogawa2,7

    • *Contact author: tsubasa-takagi@g.ecc.u-tokyo.ac.jp

    Phys. Rev. B 113, 104417 – Published 10 March, 2026

    DOI: https://doi.org/10.1103/dp31-y358

    Abstract

    Quantum geometry appears as a key factor in understanding the optical properties of quantum materials, with the anticipation on diverging or quantized responses near the Dirac and Weyl points. Here, we investigate linear and nonlinear optical responses—optical conductivity and injection current—in a magnetic Rashba semiconductor in the mid-infrared region, with varying the Fermi energy across the Dirac point. We reveal that the linear optical conductivity reflects quantum metric, which remains finite irrespective of the diminishing joint density-of-states at lower photon energy. It is also confirmed that the magnetic injection current enhances depending on the energy of the Fermi level relative to the Dirac point. These optical spectra are nicely reproduced by our theoretical calculations with geometrical effects taken into account.

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