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Title: Rashba torque beyond the Boltzmann regime

Abstract

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.

Authors:
 [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
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
National Science Foundation (NSF); Welch Foundation; USDOE; National Basic Research Program of China
OSTI Identifier:
1418616
Alternate Identifier(s):
OSTI ID: 1371954
Grant/Contract Number:  
FG03-02ER45958; 2013CB921900
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Xiao, Cong, and Niu, Qian. Rashba torque beyond the Boltzmann regime. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.035423.
Xiao, Cong, & Niu, Qian. Rashba torque beyond the Boltzmann regime. United States. doi:10.1103/PhysRevB.96.035423.
Xiao, Cong, and Niu, Qian. Wed . "Rashba torque beyond the Boltzmann regime". United States. doi:10.1103/PhysRevB.96.035423. https://www.osti.gov/servlets/purl/1418616.
@article{osti_1418616,
title = {Rashba torque beyond the Boltzmann regime},
author = {Xiao, Cong and Niu, Qian},
abstractNote = {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.},
doi = {10.1103/PhysRevB.96.035423},
journal = {Physical Review B},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {7}
}

Journal Article:
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Cited by: 3 works
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Figures / Tables:

FIG. 1 FIG. 1: The evolution of (a) $χ_{yy}$ and $χ_{xy}$ as well as (b) their ratio $χ_{yy}$/ $χ_{xy}$ from the weak disorder limit ($\bar∆$τ/$\hbar$ ≫ 1) to the diffusive limit ($\bar∆$τ/$\hbar$ ≪ 1) in the case of class B disorder, $\bar∆$= $\frac{1}{2}$ ∑ηη ϵF ). The ratio $χ_{yy}$/ $χ_{xy}$ representsmore » the relative strength of antidamping-like and field-like components of the Rashba torque. Here and in Fig. 2 we assume ϵR ≪ ϵF and thus use the parameter $\bar∆$τ/$\hbar$ to control the evolution from the weak disorder limit to the diffusive limit. We choose $\hbar$/τ = 1, ϵF = 20 in plotting the curves for the case of J$_{ex}$ = √ 2ϵRϵF and J$_{ex}$ = 10 √ϵRϵF . In (a) $χ_{yy}$ and $χ_{xy}$ are measured in the units of −eαRD0τ .« less

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