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Title: Rashba torque beyond the Boltzmann regime

Journal Article · · Physical Review B
 [1];  [2]
  1. Univ. of Texas, Austin, TX (United States). Dept. of Physics
  2. Univ. of Texas, Austin, TX (United States). Dept. of Physics; Peking Univ., Beijing (China). School of Physics

We study spin torques induced by Rashba spin-orbit coupling in two-dimensional ferromagnets under the good-metal condition ε F τ / ℏ >> 1 ( ε F the Fermi energy, τ the electron lifetime) by employing the Kubo formula. We find that in the presence of spin-dependent disorder the Rashba torque changes greatly as the system evolves out of the weak-disorder limit where ℏ / τ is much smaller than any intrinsic energy scale characterizing the multiband structure. The antidamping-like component of Rashba torque can be comparable to and larger than the field-like one out of the weak-disorder limit. The semiclassical Boltzmann theory produces the same results as microscopic linear response calculations only in the weak-disorder limit. Our analysis indicates that rich behaviors of various nonequilibrium phenomena beyond the Boltzmann theory may also be present even when ε F τ / ℏ >> 1 in multiband systems where ε F is not the unique intrinsic energy scale.

Research Organization:
Univ. of Texas, Austin, TX (United States)
Sponsoring Organization:
National Science Foundation (NSF); Welch Foundation; USDOE; National Basic Research Program of China
Grant/Contract Number:
FG03-02ER45958; 2013CB921900
OSTI ID:
1418616
Alternate ID(s):
OSTI ID: 1371954
Journal Information:
Physical Review B, Vol. 96, Issue 3; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

References (34)

Scattering universality classes of side jump in the anomalous Hall effect journal March 2011
Diffusive Spin Dynamics in Ferromagnetic Thin Films with a Rashba Interaction journal March 2012
Intrinsic Versus Extrinsic Anomalous Hall Effect in Ferromagnets journal September 2006
Anomalous Hall effect in a two-dimensional electron gas journal December 2007
Spin-orbit torques in two-dimensional Rashba ferromagnets journal July 2015
Semiclassical theories of the anomalous Hall effect journal December 2007
Linear response Kubo-Bastin formalism with application to the anomalous and spin Hall effects: A first-principles approach journal November 2015
Transport coefficients in strong magnetic fields journal June 1977
Angular dependence of spin-orbit spin-transfer torques journal April 2015
Spin-orbit torques in locally and globally noncentrosymmetric crystals: Antiferromagnets and ferromagnets journal January 2017
Spin dynamics in the strong spin-orbit coupling regime journal July 2011
Theory of the anomalous Hall effect from the Kubo formula and the Dirac equation journal June 2001
Nonvanishing anomalous Hall conductivity in spin-polarized two-dimensional electron gas with Rashba spin–orbit interaction journal January 2008
Quantum Theory of Electrical Transport Phenomena journal November 1957
Theory of the Hall Effect in Ferromagnetic Substances journal November 1958
Spin Hall effects journal October 2015
Spin-Hall effect in a disordered two-dimensional electron system journal January 2005
Anomalous Hall effect in a two-dimensional Dirac band: The link between the Kubo-Streda formula and the semiclassical Boltzmann equation approach journal January 2007
Charge and Spin Hall Conductivity in Metallic Graphene journal September 2006
Anomalous spin precession and spin Hall effect in semiconductor quantum wells journal July 2013
Spin-orbit interaction in a two-dimensional electron gas: A SU(2) formulation journal December 2011
Disordered electronic systems journal April 1985
Current-induced torques in textured Rashba ferromagnets journal September 2012
Magnetization dynamics induced by in-plane currents in ultrathin magnetic nanostructures with Rashba spin-orbit coupling journal May 2012
Theory of nonequilibrium intrinsic spin torque in a single nanomagnet journal December 2008
Anomalous Hall Effect in a 2D Rashba Ferromagnet journal July 2016
Theory of spin-charge-coupled transport in a two-dimensional electron gas with Rashba spin-orbit interactions journal October 2004
Anomalous Hall Effect in Disordered Multiband Metals journal July 2010
Microscopic theory of spin-orbit torques in two dimensions journal March 2017
Spin-orbit coupling mediated spin torque in a single ferromagnetic layer journal September 2009
Quantum transport theory of anomalous electric, thermoelectric, and thermal Hall effects in ferromagnets journal April 2008
Focus on the Rashba effect journal May 2015
Intraband and interband spin-orbit torques in noncentrosymmetric ferromagnets journal April 2015
Nonvanishing spin Hall currents in the presence of magnetic impurities journal February 2007

Cited By (4)


Figures / Tables (2)