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Title: Generalized magnetoelectronic circuit theory and spin relaxation at interfaces in magnetic multilayers

Journal Article · · Physical Review. B
 [1];  [1];  [2]; ORCiD logo [1]
  1. Univ. of Nebraska, Lincoln, NE (United States)
  2. King's College, London (United Kingdom); National Renewable Energy Lab. (NREL), Golden, CO (United States)

Spin transport at metallic interfaces is an essential ingredient of various spintronic device concepts, such as giant magnetoresistance, spin-transfer torque, and spin pumping. Spin-orbit coupling plays an important role in many such devices. In particular, spin current is partially absorbed at the interface due to spin-orbit coupling. Here, we develop a general magnetoelectronic circuit theory and generalize the concept of spin-mixing conductance, accounting for various mechanisms responsible for spin-flip scattering. For the special case when exchange interactions dominate, we give a simple expression for the spin-mixing conductance in terms of the contributions responsible for spin relaxation (i.e., spin memory loss), spin torque, and spin precession. The spin memory loss parameter d is related to spin-flip transmission and reflection probabilities. There is no straightforward relation between spin torque and spin memory loss. We calculate the spin-flip scattering rates for N|N, F|N, and F|F interfaces using the Landauer-Büttiker method within the linear muffin-tin orbital method and determine the values of d using circuit theory.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE); National Science Foundation (NSF); Engineering and Physical Sciences Research Council (EPSRC); Nebraska Research Initiative
Grant/Contract Number:
AC36-08GO28308; DMR-1609776; DMR-1420645; SC0014189
OSTI ID:
1660068
Report Number(s):
NREL/JA-5F00-77314; MainId:26260; UUID:e11ba719-f5c4-4020-984e-1d23fd940dc0; MainAdminID:14041; TRN: US2203764
Journal Information:
Physical Review. B, Vol. 101, Issue 22; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (48)

CPP magnetoresistance of magnetic multilayers: A critical review journal June 2016
Spin-diffusion lengths in metals and alloys, and spin-flipping at metal/metal interfaces: an experimentalist’s critical review journal April 2007
Interfacial charge-spin coupling: Injection and detection of spin magnetization in metals journal October 1985
Spin transfer torques journal April 2008
Quantifying Spin Hall Angles from Spin Pumping: Experiments and Theory journal January 2010
Spin Pumping at the Magnetic Insulator (YIG)/Normal Metal (Au) Interfaces journal August 2011
Nonlocal magnetization dynamics in ferromagnetic heterostructures journal December 2005
Spin-Torque Switching with the Giant Spin Hall Effect of Tantalum journal May 2012
Magnetic nano-oscillator driven by pure spin current journal October 2012
Theory of spin Hall magnetoresistance journal April 2013
Spin caloritronics journal April 2012
Theory of the spin Seebeck effect journal February 2013
Longitudinal spin Seebeck effect contribution in transverse spin Seebeck effect experiments in Pt/YIG and Pt/NFO journal September 2015
Non-collinear magnetoelectronics journal April 2006
Experimental Test of the Spin Mixing Interface Conductivity Concept journal October 2013
Spin transfer in diffusive ferromagnet–normal metal systems with spin-flip scattering journal December 2002
Current induced torques and interfacial spin-orbit coupling: Semiclassical modeling journal May 2013
Spin Pumping and Inverse Spin Hall Effect in Platinum: The Essential Role of Spin-Memory Loss at Metallic Interfaces journal March 2014
Spin Pumping in the Presence of Spin-Orbit Coupling journal March 2015
Spin transport at interfaces with spin-orbit coupling: Phenomenology journal September 2016
Spin transport at interfaces with spin-orbit coupling: Formalism journal September 2016
Self-consistent determination of spin Hall angle and spin diffusion length in Pt and Pd: The role of the interface spin loss journal June 2018
Current-driven ferromagnetic resonance, mechanical torques, and rotary motion in magnetic nanostructures journal January 2007
Current-Induced Torques in the Presence of Spin-Orbit Coupling journal September 2010
Extrinsic contributions to the ferromagnetic resonance response of ultrathin films journal September 1999
Extrinsic contributions to spin-wave damping and renormalization in thin Ni 50 Fe 50 films journal September 2000
Magnons versus electrons in thermal spin transport through metallic interfaces journal August 2018
Generalized boundary conditions for spin transfer journal September 2017
Theory of Spin Loss at Metallic Interfaces journal November 2016
Spin Torque Study of the Spin Hall Conductivity and Spin Diffusion Length in Platinum Thin Films with Varying Resistivity journal March 2016
Dependence of the efficiency of spin Hall torque on the transparency of Pt/ferromagnetic layer interfaces journal August 2015
Spin-Orbit Torques in Heavy-Metal–Ferromagnet Bilayers with Varying Strengths of Interfacial Spin-Orbit Coupling journal February 2019
Interface resistances of magnetic multilayers journal November 1997
Universal angular magnetoresistance and spin torque in ferromagnetic/normal metal hybrids journal March 2003
Perpendicular spin valves with ultrathin ferromagnetic layers: Magnetoelectronic circuit investigation of finite-size effects journal February 2006
Finite-Element Theory of Transport in Ferromagnet–Normal Metal Systems journal March 2000
Spin-transport in multi-terminal normal metal-ferromagnet systems with non-collinear magnetizations journal July 2001
Theory of the perpendicular magnetoresistance in magnetic multilayers journal September 1993
Absence of mean-free-path effects in the current-perpendicular-to-plane magnetoresistance of magnetic multilayers journal January 2002
From giant magnetoresistance to current-induced switching by spin transfer journal July 2005
Noncollinear spin transport in magnetic multilayers journal March 2005
Interface Enhancement of Gilbert Damping from First Principles journal November 2014
First-principles analysis of spin-disorder resistivity of Fe and Ni journal December 2009
Questaal: A package of electronic structure methods based on the linear muffin-tin orbital technique journal April 2020
Relativistic LMTO method for systems of light elements journal June 2008
A local exchange-correlation potential for the spin polarized case. i journal July 1972
Disorder Dependence of Interface Spin Memory Loss journal February 2020
Quantifying spin Hall angles from spin pumping: Experiments and Theory text January 2009

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