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    Symmetrized decomposition of the Kubo-Bastin formula

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    Type
    Article
    Authors
    Bonbien, Varga
    Manchon, Aurelien cc
    KAUST Department
    Material Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Spintronics Theory Group
    KAUST Grant Number
    OSR-2017-CRG6-3390
    Date
    2020-08-06
    Preprint Posting Date
    2020-05-10
    Submitted Date
    2020-05-12
    Permanent link to this record
    http://hdl.handle.net/10754/665590
    
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    Abstract
    The Smrcka-Streda version of Kubo's linear response formula is widely used in the literature to compute nonequilibrium transport properties of heterostructures. It is particularly useful for the evaluation of intrinsic transport properties associated with the Berry curvature of the Bloch states, such as anomalous and spin Hall currents as well as the dampinglike component of the spin-orbit torque. Here we demonstrate in a very general way that the widely used decomposition of the Kubo-Bastin formula introduced by Smrcka and Streda contains an overlap, which has lead to widespread confusion in the literature regarding the Fermi surface and Fermi sea contributions. To remedy this pathology, we propose a decomposition of the Kubo-Bastin formula based on the permutation properties of the correlation function and derive a set of formulas, without an overlap, that provides direct access to the transport effects of interest. We apply these formulas to selected cases and demonstrate that the Fermi sea and Fermi surface contributions can be uniquely addressed with our symmetrized approach.
    Citation
    Bonbien, V., & Manchon, A. (2020). Symmetrized decomposition of the Kubo-Bastin formula. Physical Review B, 102(8). doi:10.1103/physrevb.102.085113
    Sponsors
    This work was supported by the King Abdullah University of Science and Technology (KAUST) through the award OSR-2017-CRG6-3390 from the Office of Sponsored Research (OSR).
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review B
    DOI
    10.1103/PhysRevB.102.085113
    arXiv
    2005.04678
    Additional Links
    https://link.aps.org/doi/10.1103/PhysRevB.102.085113
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevB.102.085113
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Spintronics Theory Group; Material Science and Engineering Program

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