2012/06/25 by Ankur Sensharma, A. S. Cornell, Aldo Deandrea +3
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Electric field #Electrical resistivity and conductivity #Electron #Fermi gas #Ferromagnetism #Field (mathematics) #Hall conductivity #Hall effect #Magnetic field #Magnetic properties of thin films #Materials science #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.dis-nn #cond-mat.mes-hall #hep-ph
paper · pdf · doi:10.1103/physrevb.86.165305
published as Phys. Rev. B 86, 165305 (2012) · 5 pages, 4 figures
arxiv created 2012/06/25 · openalex publication_date 2012/10/05 · arxiv updated 2014/10/21 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/05
It is known that the anomalous Hall conductivity (AHC) in a disordered two-dimensional electron system with a Rashba spin-orbit interaction and a finite ferromagnetic spin-exchange energy, is zero in the metallic weak-scattering regime because of the exact cancellation of the bare-bubble contribution by the vertex correction. We study the effect of an inhomogeneous longitudinal electric field on the AHC in such a system. We predict that AHC increases from zero (at zero wave number), forms a peak, and then decreases as the wave number for the variation of electric field increases. The peak value of AHC is as high as the bare-bubble contribution. We find that the wave number q at which the peaks occur is the inverse of the geometric mean of the mean free path of an electron and the spin-exchange length scale. Although the Rashba energy is responsible for the peak value of AHC, the peak position is independent of it.