6533b828fe1ef96bd12879cf

RESEARCH PRODUCT

Berry-curvatures and anomalous Hall effect in Heusler compounds

Claudia FelserJürgen Kübler

subject

PhysicsCondensed Matter - Materials ScienceCurrent (mathematics)Degree (graph theory)Spin polarizationCondensed matter physicsMaterials Science (cond-mat.mtrl-sci)FOS: Physical sciencesComputational Physics (physics.comp-ph)Condensed Matter PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectElectronic Optical and Magnetic MaterialsHall conductivityHall effectQuantum mechanicsBerry connection and curvatureElectronic band structurePhysics - Computational PhysicsTopology (chemistry)

description

Berry curvatures are computed for a set of Heusler compounds using density functional calculations and the wave functions that they provide. The anomalous Hall conductivity is obtained from the Berry curvatures. It is compared with experimental values in the case of Co${}_{2}$CrAl and Co${}_{2}$MnAl. A notable trend cannot be seen but the range of values is quite enormous. The results for the anomalous Hall conductivities and their large variations as well as the degree of the spin polarization of the Hall current can be qualitatively understood by means of the band structure and the Fermi-surface topology.

https://dx.doi.org/10.48550/arxiv.1110.2878