2014/02/07 by I. Turek, Ilja Turek, J. Kudrnovský +3 · 38 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Electron #Electronic band structure #Fermi Gamma-ray Space Telescope #Fermi level #Fermi liquid theory #Fermi surface #Ferromagnetism #Heusler alloys: electronic and magnetic properties #Magnetic properties of thin films #Physics #Quantum mechanics #Superconductivity #Topological Materials and Phenomena #cond-mat.mtrl-sci #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.89.064405
published in Physical Review B 89(6) (American Physical Society) · 13 pages, accepted in Phys. Rev. B
arxiv created 2014/02/07 · openalex publication_date 2014/02/10 · arxiv updated 2014/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a formulation of the so-called Fermi sea contribution to the conductivity tensor of spin-polarized random alloys within the fully relativistic tight-binding linear muffin-tin-orbital (TB-LMTO) method and the coherent potential approximation (CPA). We show that the configuration averaging of this contribution leads to the CPA-vertex corrections that are solely due to the energy dependence of the average single-particle propagators. Moreover, we prove that this contribution is indispensable for the invariance of the anomalous Hall conductivities with respect to the particular LMTO representation used in numerical implementation. Ab initio calculations for cubic ferromagnetic 3d transition metals (Fe, Co, Ni) and their random binary alloys (Ni-Fe, Fe-Si) indicate that the Fermi sea term is small against the dominating Fermi surface term. However, for more complicated structures and systems, such as hexagonal cobalt and selected ordered and disordered Co-based Heusler alloys, the Fermi sea term plays a significant role in the quantitative theory of the anomalous Hall effect.