Second-order magnetic responses in quantum magnets: Magnetization under ac magnetic fields

Tatsuya Kaneko, Yuta Murakami, Shintaro Takayoshi, and Andrew J. Millis
Phys. Rev. B 105, 195126 – Published 19 May 2022

Abstract

We investigate second-order magnetic responses of quantum magnets against ac magnetic fields. We focus on the case where the z component of the spin is conserved in the unperturbed Hamiltonian and the driving field is applied in the xy plane. We find that linearly polarized driving fields induce a second-harmonic response, while circularly polarized fields generate only a zero-frequency response, leading to a magnetization with a direction determined by the helicity. Employing an unbiased numerical method, we demonstrate the nonlinear magnetic effect driven by the circularly polarized field in the XXZ model and show that the magnitude of the magnetization can be predicted by the dynamical spin structure factor in the linear response regime.

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  • Received 3 March 2022
  • Accepted 9 May 2022

DOI:https://doi.org/10.1103/PhysRevB.105.195126

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Tatsuya Kaneko1, Yuta Murakami2, Shintaro Takayoshi3, and Andrew J. Millis4,5

  • 1Computational Quantum Matter Research Team, RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
  • 2Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
  • 3Department of Physics, Konan University, Kobe, Hyogo 658-8501, Japan
  • 4Department of Physics, Columbia University, New York, New York 10027, USA
  • 5Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA

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Issue

Vol. 105, Iss. 19 — 15 May 2022

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