Precision mapping the topological bands of 2D spin-orbit coupling with microwave spin-injection spectroscopy

Xiao-Tian Xu; Chang-Rui Yi; Bao-Zong Wang; Wei Sun; Youjin Deng; Xiong-Jun Liu; Shuai Chen; Jian-Wei Pan

doi:10.1016/j.scib.2018.11.002

Precision mapping the topological bands of 2D spin-orbit coupling with microwave spin-injection spectroscopy

Sci Bull (Beijing). 2018 Nov 30;63(22):1464-1469. doi: 10.1016/j.scib.2018.11.002. Epub 2018 Nov 9.

Authors

Xiao-Tian Xu¹, Chang-Rui Yi¹, Bao-Zong Wang², Wei Sun¹, Youjin Deng¹, Xiong-Jun Liu³, Shuai Chen⁴, Jian-Wei Pan⁵

Affiliations

¹ Shanghai Branch, National Research Center for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China; Chinese Academy of Sciences Center for Excellence: Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230326, China.
² Shanghai Branch, National Research Center for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China; Chinese Academy of Sciences Center for Excellence: Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230326, China; International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
³ International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, China.
⁴ Shanghai Branch, National Research Center for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China; Chinese Academy of Sciences Center for Excellence: Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230326, China. Electronic address: shuai@ustc.edu.cn.
⁵ Shanghai Branch, National Research Center for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Shanghai 201315, China; Chinese Academy of Sciences Center for Excellence: Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230326, China. Electronic address: pan@ustc.edu.cn.

PMID: 36658827
DOI: 10.1016/j.scib.2018.11.002

Abstract

To investigate the band structure is one of the key approaches to study the fundamental properties of a novel material. We report here the precision band mapping of a 2-dimensional (2D) spin-orbit (SO) coupling in an optical lattice. By applying the microwave spin-injection spectroscopy, the band structure and spin-polarization distribution are achieved simultaneously. The band topology is also addressed with observing the band gap close and re-open at the Dirac points. Furthermore, the lattice depth and the Raman coupling strength are precisely calibrated with relative errors in the order of 10^-3. Our approach could also be applied for exploring the exotic topological phases with even higher dimensional system.

Keywords: 2D spin-orbit coupling; Microwave spin-injection spectroscopy; Spin polarization; Topological band; Topological phase transition.