Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure

Quantum geometry in condensed-matter physics has two components: the real part quantum metric and the imaginary part Berry curvature. Whereas the effects of Berry curvature have been observed through phenomena such as the quantum Hall effect in two-dimensional electron gases and the anomalous Hall effect (AHE) in ferromagnets, the quantum metric has rarely been explored. Here, we report a nonlinear Hall effect induced by the quantum metric dipole by interfacing even-layered MnBi 2 Te 4 with black phosphorus. The quantum metric nonlinear Hall effect switches direction upon reversing the antiferromagnetic (AFM) spins and exhibits distinct scaling that is independent of the scattering time. Our results open the…

• NS
  National Science Foundation

  Awards: no. 1541959, 1231319, DMR-2143177, 2235945, 1541959, FA9550-20-1-0322, 2143426
• UD
  U.S. Department of Energy

  Awards: DE-SC0021117, DE-AC0207CH11358, DMR-1231319
• HU
  Harvard University

  Award: 1541959
• CI
  Canadian Institute for Advanced Research
• NC
  National Center for Theoretical Sciences
• TI
  Tata Institute of Fundamental Research
• MO
  Ministry of Education, Culture, Sports, Science and Technology

  Awards: 23H02052, 21H05233
• SN
  Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

  Awards: 191801, 206914
• NC
  National Cheng Kung University
• NS
  National Science and Technology Council
• OO
  Office of Science

  Award: DE-AC0207CH11358
• JS
  Japan Society for the Promotion of Science

  Awards: 23H02052, 191801, 20H00354, 21H05233
• DO
  Division of Materials Research

  Awards: 1231319, DMR-1231319
• AF
  Air Force Office of Scientific Research

  Awards: FA9550-, 1541959, FA9550-20-1-0319, FA9550-20-1, FA9550-20-1-0322, FA9550-20, FA9550, FA9550-23-1-0040