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:
-
- Univ. of Texas, Austin, TX (United States). Dept. of Physics
- 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}
}
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Figures / Tables:
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, $\bar∆$= $\frac{1}{2}$ ∑η ∆η ϵF ). The ratio $χ_{yy}$/ $χ_{xy}$ representsmore »
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