摘要
Quantum Hall effects have remained at the forefront of condensed matter physics research for decades,earning three Nobel Prizes in physics as a testament to their significance.In 1980,von Klitzing et al.discovered discrete Hall conductance_(xy)=e^(2)/h g in a two-dimensional electron gas subjected to a magnetic field,where n represents the number of occupied Landau levels.This groundbreaking discovery is famously known as the integer quantum Hall effect and has been generalized in both fractional and anomalous ways(Fig.S1 online).
基金
supported by the National Key R&D Program of China(2022YFA1403700)
Innovation Program for Quantum Science and Technology(2021ZD0302400)
the National Natural Science Foundation of China(12525401,12304196,12350402,and 11925402)
Guangdong Basic and Applied Basic Research Foundation(2022A1515111034 and 2023B0303000011),Guangdong Provincial(GDZX2201001and GDZX2401001)
Guangdongprovince(2020KCXTD001)
the Science,Technology and Innovation Commission of Shenzhen Municipality(ZDSYS20190902092905285)
New Cornerstone Science Foundation through the XPLORER PRIZE,and Center for Computational Science and Engineering of SUSTech.