Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure

Anyuan Gao; Yu-Fei Liu; Jian-Xiang Qiu; Barun Ghosh; Thaís V Trevisan; Yugo Onishi; Chaowei Hu; Tiema Qian; Hung-Ju Tien; Shao-Wen Chen; Mengqi Huang; Damien Bérubé; Houchen Li; Christian Tzschaschel; Thao Dinh; Zhe Sun; Sheng-Chin Ho; Shang-Wei Lien; Bahadur Singh; Kenji Watanabe; Takashi Taniguchi; David C Bell; Hsin Lin; Tay-Rong Chang; Chunhui Rita Du; Arun Bansil; Liang Fu; Ni Ni; Peter P Orth; Qiong Ma; Su-Yang Xu

doi:10.1126/science.adf1506

Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure

Science. 2023 Jul 14;381(6654):181-186. doi: 10.1126/science.adf1506. Epub 2023 Jun 15.

Authors

Anyuan Gao¹, Yu-Fei Liu^{1

2}, Jian-Xiang Qiu¹, Barun Ghosh³, Thaís V Trevisan^{4

5}, Yugo Onishi⁶, Chaowei Hu⁷, Tiema Qian⁷, Hung-Ju Tien⁸, Shao-Wen Chen², Mengqi Huang⁹, Damien Bérubé¹, Houchen Li¹, Christian Tzschaschel¹, Thao Dinh^{1

2}, Zhe Sun^{1

10}, Sheng-Chin Ho¹, Shang-Wei Lien⁸, Bahadur Singh¹¹, Kenji Watanabe¹², Takashi Taniguchi¹², David C Bell^{13

14}, Hsin Lin¹⁵, Tay-Rong Chang^{8

16

17}, Chunhui Rita Du⁹, Arun Bansil³, Liang Fu⁶, Ni Ni⁷, Peter P Orth^{4

5}, Qiong Ma^{10

18}, Su-Yang Xu¹

Affiliations

¹ Department of Chemistry and Chemical Biology, Harvard University, Cambridge, MA 02138, USA.
² Department of Physics, Harvard University, Cambridge, MA 02138, USA.
³ Department of Physics, Northeastern University, Boston, MA 02115, USA.
⁴ Department of Physics and Astronomy, Iowa State University, Ames, IA 50011, USA.
⁵ Ames National Laboratory, Ames, IA 50011, USA.
⁶ Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
⁷ Department of Physics and Astronomy and California NanoSystems Institute, University of California, Los Angeles, Los Angeles, CA 90095, USA.
⁸ Department of Physics, National Cheng Kung University, Tainan 701, Taiwan.
⁹ Department of Physics, University of California San Diego, La Jolla, CA, 92093, USA.
¹⁰ Department of Physics, Boston College, Chestnut Hill, MA, USA.
¹¹ Department of Condensed Matter Physics and Materials Science, Tata Institute of Fundamental Research, Colaba, Mumbai, India.
¹² International Center for Materials Nanoarchitectonics, National Institute for Materials Science, 1-1 Namiki, Tsukuba 305-0044, Japan.
¹³ Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.
¹⁴ Center for Nanoscale Systems, Harvard University, Cambridge, MA 02138, USA.
¹⁵ Institute of Physics, Academia Sinica, Taipei 11529, Taiwan.
¹⁶ Center for Quantum Frontiers of Research and Technology (QFort), Tainan 701, Taiwan.
¹⁷ Physics Division National Center for Theoretical Sciences, Taipei 10617, Taiwan.
¹⁸ Canadian Institute for Advanced Research, Toronto, Canada.

PMID: 37319246
DOI: 10.1126/science.adf1506

Abstract

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 MnBi₂Te₄ 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 door to discovering quantum metric responses predicted theoretically and pave the way for applications that bridge nonlinear electronics with AFM spintronics.