We develop a multiscale approach to magnetoelectric effects,bridging atomistic and continuum models,with all parameters determined from ab initio electronic structure calculations.We show that the parameters of the mo...We develop a multiscale approach to magnetoelectric effects,bridging atomistic and continuum models,with all parameters determined from ab initio electronic structure calculations.We show that the parameters of the model are equivalent to the electric field-induced Dzyaloshinski-Moriya interactions.After careful validation,we apply the models to study electric polarization and dipole moments carried by spin spirals and topological solitons,in the form of magnetic domain walls and Skyrmions,in the prototypical 2D magnet CrI3.We show that the reduced symmetry of the material leads to additional magnetoelectric coupling terms,dominating over those expected in high symmetry(cubic)materials.An interesting consequence is that Skyrmions carry an out-of-plane electric dipole moment,while that of anti-Skyrmions is an order of magnitude larger and in-plane.Finally,we discuss the possibility to stabilize non-collinear spin states using electric fields.展开更多
基金support from the Swedish Research Council(VR-2018-06807 and 2022-04720),ÅForsk(22-441),the Göran Gustafsson Foundation,and the Swedish e-Science Research Center(SeRC)M.S.acknowledges the support of the State Investigation Agency through the Severo Ochoa Program for Centres of Excellence in R&D(CEX2023-001263-S),of the Ministry of Science,Innovation and Universities(Grant No.PID2023-152710NB-I00)+1 种基金of Generalitat de Catalunya(Grant No.2021 SGR 01519)This work has been funded by the European Union-NextGenerationEU,under the Italian Ministry of University and Research(MUR)PRIN-2022 project"SORBET:Spin-ORBit Effects in Two-dimensional magnets"(IT-MIUR Grant No.2022ZY8HJY)and National Innovation Ecosystem grant ECS00000041-VITALITY-CUP B43C22000470005.Computational work was done on resources at PDC,Stockholm,and NSC,Linköping,via the National Academic Infrastructure for Supercomputing in Sweden(NAISS),as well as the Galileo system of Cineca through HPC-Europa3(HPC17A3WLE),which also supported the collaborative effort by funding an international research visit.
文摘We develop a multiscale approach to magnetoelectric effects,bridging atomistic and continuum models,with all parameters determined from ab initio electronic structure calculations.We show that the parameters of the model are equivalent to the electric field-induced Dzyaloshinski-Moriya interactions.After careful validation,we apply the models to study electric polarization and dipole moments carried by spin spirals and topological solitons,in the form of magnetic domain walls and Skyrmions,in the prototypical 2D magnet CrI3.We show that the reduced symmetry of the material leads to additional magnetoelectric coupling terms,dominating over those expected in high symmetry(cubic)materials.An interesting consequence is that Skyrmions carry an out-of-plane electric dipole moment,while that of anti-Skyrmions is an order of magnitude larger and in-plane.Finally,we discuss the possibility to stabilize non-collinear spin states using electric fields.
