In order to calculate the multipoles in real materials with considerable intersite Coulomb interaction V,we develop a self-consistent program which starts from the frst-principles calculations to solve the tight-bindi...In order to calculate the multipoles in real materials with considerable intersite Coulomb interaction V,we develop a self-consistent program which starts from the frst-principles calculations to solve the tight-binding Hamiltonian including onsite Coulomb repulsion U,V,and spin-orbital couplingλ.The program is applied to Ba_(2)MgReO_(6)to fgure out the mechanism of structural instability and magnetic ordering.A comprehensive quadrupole phase diagram versus U and V withλ=0.28 eV is calculated.Our results demonstrate that the easy-plane anisotropy and the intersite Coulomb repulsion V must be considered to remove the orbital frustration.The increase of V to>20 meV would arrange quadrupole Q_(x^(2)-y^(2))antiparallelly,accompanied by small parallel Q_(3z)^(2)-r^(2),and stabilize Ba_(2)MgReO_(6)into the body-centered tetragonal structure.Such antiparallel Q_(x^(2)-y^(2))provides a new mechanism for the Dzyaloshinskii-Moriya interaction and gives rise to the canted antiferromagnetic(CAF)state along the[110]axis.Moreover,sizable octupoles such as O_(21)^(31),O_(21)^(33),O_(21)^(34)and O_(21)^(36)are discovered for the frst time in the CAF state.Our study not only provides a comprehensive understanding of the experimental results in Ba_(2)MgReO_(6),but also serves as a general and useful tool for the study of multipole physics in 5d compounds.展开更多
We introduce an automated,flexible framework(aiida-hubbard)to self-consistently calculate Hubbard U and V parameters from first-principles.By leveraging density-functional perturbation theory,the computation of the Hu...We introduce an automated,flexible framework(aiida-hubbard)to self-consistently calculate Hubbard U and V parameters from first-principles.By leveraging density-functional perturbation theory,the computation of the Hubbard parameters is efficiently parallelized using multiple concurrent and inexpensive primitive cell calculations.Furthermore,the intersite V parameters are defined on-the-fly during the iterative procedure to account for atomic relaxations and diverse coordination environments.We devise a novel,code-agnostic data structure to store Hubbard related information together with the atomistic structure,to enhance the reproducibility of Hubbard-corrected calculations.We demonstrate the scalability and reliability of the framework by computing in high-throughput fashion the self-consistent onsite U and intersite V parameters for 115 Li-containing bulk solids with up to 32 atoms in the unit cell.Our analysis of the Hubbard parameters calculated reveals a significant correlation of the onsite U values on the oxidation state and coordination environment of the atom on which the Hubbard manifold is centered,while intersite V values exhibit a general decay with increasing interatomic distance.We find,e.g.,that the numerical values of U for the 3d orbitals of Fe and Mn can vary up to 3 eV and 6 eV,respectively;their distribution is characterized by typical shifts of about 0.5 eV and 1.0 eV upon change in oxidation state,or local coordination environment.For the intersite V a narrower spread is found,with values ranging between 0.2 eV and 1.6 eV when considering transition metal and oxygen interactions.This framework paves the way for the exploration of redox materials chemistry and high-throughput screening of d and f compounds across diverse research areas,including the discovery and design of novel energy storage materials,as well as other technologically-relevant applications.展开更多
基金was supported by the National Key Research and Development Program of China(Grant Nos.2024YFA1611200 and 2018YFA0307000)the National Natural Science Foundation of China(Grant Nos.12274154 and 12404182)。
文摘In order to calculate the multipoles in real materials with considerable intersite Coulomb interaction V,we develop a self-consistent program which starts from the frst-principles calculations to solve the tight-binding Hamiltonian including onsite Coulomb repulsion U,V,and spin-orbital couplingλ.The program is applied to Ba_(2)MgReO_(6)to fgure out the mechanism of structural instability and magnetic ordering.A comprehensive quadrupole phase diagram versus U and V withλ=0.28 eV is calculated.Our results demonstrate that the easy-plane anisotropy and the intersite Coulomb repulsion V must be considered to remove the orbital frustration.The increase of V to>20 meV would arrange quadrupole Q_(x^(2)-y^(2))antiparallelly,accompanied by small parallel Q_(3z)^(2)-r^(2),and stabilize Ba_(2)MgReO_(6)into the body-centered tetragonal structure.Such antiparallel Q_(x^(2)-y^(2))provides a new mechanism for the Dzyaloshinskii-Moriya interaction and gives rise to the canted antiferromagnetic(CAF)state along the[110]axis.Moreover,sizable octupoles such as O_(21)^(31),O_(21)^(33),O_(21)^(34)and O_(21)^(36)are discovered for the frst time in the CAF state.Our study not only provides a comprehensive understanding of the experimental results in Ba_(2)MgReO_(6),but also serves as a general and useful tool for the study of multipole physics in 5d compounds.
基金support from the Deutsche Forschungsgemeinschaft(DFG)under Germany’s Excellence Strategy(EXC 2077,No.390741603,University Allowance,University of Bremen),Lucio Colombi Ciacchi,the host of the“U Bremen Excellence Chair Program”C.M.and E.M acknowledge funding by MaX“Materials Design at the Exascale”,a Center of Excellence co-funded by the European High Performance Computing Joint Undertaking(JU)and participating countries under grant agreement No.101093374+4 种基金M.B.acknowledges funding by the European Centre of Excellence MaX“Materials design at the Exascale”(grant no.824143)and by the SwissTwins project,funded by the Swiss State Secretariat for Education,Research and Innovation(SERI)I.T.acknowledges funding by the Swiss National Science Foundation(grant no.200021-227641)We acknowledge support by the NCCR MARVEL,a National Centre of Competence in Research,funded by the Swiss National Science Foundation(Grant number 205602)This work was supported by a grant from the Swiss National Supercomputing Centre(CSCS)under project ID 465000416(LUMI-G).We thank Julian Geiger,Gabriel Joalland,Austin Zadoks and Timo Reents for useful discussions and feedbacks.
文摘We introduce an automated,flexible framework(aiida-hubbard)to self-consistently calculate Hubbard U and V parameters from first-principles.By leveraging density-functional perturbation theory,the computation of the Hubbard parameters is efficiently parallelized using multiple concurrent and inexpensive primitive cell calculations.Furthermore,the intersite V parameters are defined on-the-fly during the iterative procedure to account for atomic relaxations and diverse coordination environments.We devise a novel,code-agnostic data structure to store Hubbard related information together with the atomistic structure,to enhance the reproducibility of Hubbard-corrected calculations.We demonstrate the scalability and reliability of the framework by computing in high-throughput fashion the self-consistent onsite U and intersite V parameters for 115 Li-containing bulk solids with up to 32 atoms in the unit cell.Our analysis of the Hubbard parameters calculated reveals a significant correlation of the onsite U values on the oxidation state and coordination environment of the atom on which the Hubbard manifold is centered,while intersite V values exhibit a general decay with increasing interatomic distance.We find,e.g.,that the numerical values of U for the 3d orbitals of Fe and Mn can vary up to 3 eV and 6 eV,respectively;their distribution is characterized by typical shifts of about 0.5 eV and 1.0 eV upon change in oxidation state,or local coordination environment.For the intersite V a narrower spread is found,with values ranging between 0.2 eV and 1.6 eV when considering transition metal and oxygen interactions.This framework paves the way for the exploration of redox materials chemistry and high-throughput screening of d and f compounds across diverse research areas,including the discovery and design of novel energy storage materials,as well as other technologically-relevant applications.
