Theory of unidirectional magnetoresistance and nonlinear Hall effect Article Swipe
Frank Freimuth
,
Stefan Blügel
,
Yuriy Mokrousov
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1088/1361-648x/ac327f
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1088/1361-648x/ac327f
We study the unidirectional magnetoresistance (UMR) and the nonlinear Hall effect (NLHE) in the ferromagnetic Rashba model. For this purpose we derive expressions to describe the response of the electric current quadratic in the applied electric field. We compare two different formalisms, namely the standard Keldysh nonequilibrium formalism and the Moyal–Keldysh formalism, to derive the nonlinear conductivities of UMR and NLHE. We find that both formalisms lead to identical numerical results when applied to the ferromagnetic Rashba model. The UMR and the NLHE nonlinear conductivities tend to be comparable in magnitude according to our calculations. Additionally, their dependencies on the Rashba parameter and on the quasiparticle broadening are similar. The nonlinear zero-frequency response considered here is several orders of magnitude higher than the one at optical frequencies that describes the photocurrent generation in the ferromagnetic Rashba model. Additionally, we compare our Keldysh nonequilibrium expression in the independent-particle approximation to literature expressions of the UMR that have been obtained within the constant relaxation time approximation of the Boltzmann formalism. We find that both formalisms converge to the same analytical formula in the limit of infinite relaxation time. However, remarkably, we find that the Boltzmann result does not correspond to the intraband term of the Keldysh expression. Instead, the Boltzmann result corresponds to the sum of the intraband term and an interband term that can be brought into the form of an effective intraband term due to the f -sum rule.
Related Topics
Concepts
Rotation formalisms in three dimensions
Ferromagnetism
Condensed matter physics
Quasiparticle
Nonlinear system
Physics
Formalism (music)
Magnetoresistance
Non-equilibrium thermodynamics
Electric field
Quadratic equation
Hall effect
Photocurrent
Quantum mechanics
Mathematics
Magnetic field
Geometry
Superconductivity
Musical
Art
Visual arts
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.1088/1361-648x/ac327f
- OA Status
- green
- References
- 47
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3169809824
All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W3169809824Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1361-648x/ac327fDigital Object Identifier
- Title
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Theory of unidirectional magnetoresistance and nonlinear Hall effectWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2021Year of publication
- Publication date
-
2021-10-22Full publication date if available
- Authors
-
Frank Freimuth, Stefan Blügel, Yuriy MokrousovList of authors in order
- Landing page
-
https://doi.org/10.1088/1361-648x/ac327fPublisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2106.08309Direct OA link when available
- Concepts
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Rotation formalisms in three dimensions, Ferromagnetism, Condensed matter physics, Quasiparticle, Nonlinear system, Physics, Formalism (music), Magnetoresistance, Non-equilibrium thermodynamics, Electric field, Quadratic equation, Hall effect, Photocurrent, Quantum mechanics, Mathematics, Magnetic field, Geometry, Superconductivity, Musical, Art, Visual artsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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47Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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