This article delves Chern's conjecture for hypersurfaces with constant second fundamental form squared length S in the spherical space.At present,determining whether the third gap point of S is 2n remains unsolved yet...
supported by the National Basic Research Program of China(Grant No.2017YFA0303301);the National Natural Science Foundation of China(Grant Nos.12022407,and 11974256);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB28000000)。
The nontrivial band topology of Chern insulator can enrich the content of its Hofstadter butterfly spectra,which is closely related to recent experiments in twisted bilayer graphene and cold atom systems.We investigat...
supported by the National Key Research and Development Program of China(2020YFA0308800);the National Natural Science Foundation of China(12004035,12234003 and 12321004);the China Postdoctoral Science Foundation(2021TQ0043 and 2021M700437);Beijing Institute of Technology Research Fund Program for Young Scholars。
Despite the rapid progress in the study of planar Hall effect(PHE)in recent years,all the previous works only showed that the PHE is connected to local geometric quantities,such as Berry curvature.Here,for the first t...
Project supported by the National Natural Science Foundation of China (Grant Nos. 12074101 and 11604081);sponsored by the Natural Science Foundation of Henan Province, China (Grant No. 212300410040)。
The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattic...
Project supported by the National Natural Science Foundation of China(Grant Nos.52173283 and 62071200);Taishan Scholar Program of Shandong Province(Grant No.ts20190939);Independent Cultivation Program of Innovation Team of Jinan City(Grant No.2021GXRC043)。
High-performance quantum anomalous Hall(QAH)systems are crucial materials for exploring emerging quantum physics and magnetic topological phenomena.Inspired by layered FeSe materials with excellent superconducting pro...
Project supported by the National Natural Science Foundation of China(Grant Nos.12104183,52173283,and 62071200);the Natural Science Foundation of Shandong Province,China(Grant Nos.ZR2021MA040 and ZR2023MA091);the Taishan Scholar Program of Shandong Province,China(Grant No.ts20190939);the Independent Cultivation Program of Innovation Team of Jinan City(Grant No.2021GXRC043);supported by high-performance computing platform at University of Jinan。
Recently,Chern insulators in an antiferromagnetic(AFM)phase have been suggested theoretically and predicted in a few materials.However,the experimental observation of two-dimensional(2D)AFM quantum anomalous Hall effe...
supported by the National Natural Science Foundation of China(12161141011 and 11874024);the National Key R&D Program of China(2018YFA0306600);Shanghai Key Laboratory of Magnetic Resonance(East China Normal University),the FR S-FNR S(Belgium),the ERC(Starting Grant TopoCold),the Royal Society under a Newton International Fellowship,the Marie Skłodowska-Curie programme of the European Commission 893915,the EOS(CHEQS project);Y.-M.C.is supported by the Young Scientists Fund of the National Natural Science Foundation of China(12304572);the fellowship of China Postdoctoral Science Foundation(2022M721256);M.Y.is supported by the fellowship of China Postdoctoral Science Foundation(2023M741270);Y.L.is supported by the BMBF under the funding program‘quantum technologies-from basic research to market’in the project Spinning(13N16215).
Quantum metrology is deeply connected to quantum geometry,through the fundamental notion of quantum Fisher information.Inspired by advances in topological matter,it was recently suggested that the Berry curvature and ...
supported by the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302401);the Hunan Provincial Science Foundation for Distinguished Young Scholars(Grant No.2021JJ10043);the Open Research Fund from State Key Laboratory of High Performance Computing of China(HPCL)(Grant No.201901-09).
The synthetic Floquet lattice,generated by multiple strong drives with mutually incommensurate frequencies,provides a powerful platform for quantum simulation of topological phenomena.In this study,we propose a 4-band...
Project supported by the National Natural Science Foundation of China (Grant No. 52173283);the Taishan Scholar Program of Shandong Province,China (Grant No. ts20190939);the Independent Cultivation Program of Innovation Team of Jinan City (Grant No. 2021GXRC043)。
Quantum anomalous Hall(QAH) insulators have excellent properties driven by fancy topological physics, but their practical application is greatly hindered by the observed temperature of liquid nitrogen, and the QAH ins...
Topology,an invariant quantity under continuous deformation,has significantly expanded our understanding of the phases of matter over recent decades.This concept,extending from quantum mechanics to classical wave plat...