Anisotropic magnetoresistance: A 170-year-old puzzle solved

Bauer, G.

doi:10.1007/s11433-020-1618-7

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…This phenomenon and related planar Hall resistance (PHR) are technologically important in magnetic sensors and data storage and retrieval [2,3]. AMR and PHR have constantly attracted much attention with continuously improved understanding since their discoveries [4][5][6][7][8][9][10][11][12][13][14]. Phenomenologically and logically, spin-orbit interaction and s-d scatterings must play essential roles in the AMR, PHR, and extraordinary galvanomagnetic effects [2,3] in general because moving electrons "see" the magnetization (spins).…”

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confidence: 99%

A theory for anisotropic magnetoresistance in materials with two vector order parameters

Wang

2022

Preprint

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Anisotropic magnetoresistance (AMR) and related planar Hall resistance (PHR) are ubiquitous phenomena of magnetic materials. Although the universal angular dependences of AMR and PHR in magnetic polycrystalline materials with one order parameter are well known, no similar universal relation for other class of magnetic materials are known to date. Here I present a general theory of galvanomagnetic effects in magnetic materials with two vector order parameters, such as magnetic single crystals with a dominated crystalline axis or polycrystalline non-collinear ferrimagnetic materials. It is shown that AMR and PHR have a universal angular dependence. In general, both longitudinal and transverse resistivity are non-reciprocal in the absence of inversion symmetry: Resistivity takes different value when the current is reversed. Different from simple magnetic polycrystalline materials where AMR and PHR have the same magnitude, and π/4 out of phase, the magnitude of AMR and PHR of materials with two vector order parameters are not the same in general, and the phase difference is not π/4. Instead of π periodicity of the usual AMR and PHR, the periodicities of materials with two order parameters are 2π.

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mentioning

confidence: 99%

A theory for anisotropic magnetoresistance in materials with two vector order parameters

Wang

2022

Preprint

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A Theory for Anisotropic Magnetoresistance in Materials with Two Vector Order Parameters

Wang¹

2022

Chinese Phys. Lett.

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Anisotropic magnetoresistance (AMR) and related planar Hall resistance (PHR) are ubiquitous phenomena of magnetic materials. Although the universal angular dependences of AMR and PHR in magnetic polycrystalline materials with one order parameter are well known, no similar universal relation for other class of magnetic materials are known to date. Here a general theory of galvanomagnetic effects in magnetic materials is presented with two vector order parameters, such as magnetic single crystals with a dominated crystalline axis or polycrystalline non-collinear ferrimagnetic materials. It is shown that AMR and PHR have a universal angular dependence. In general, both longitudinal and transverse resistivity are non-reciprocal in the absence of inversion symmetry: Resistivity takes different values when the current is reversed. Different from simple magnetic polycrystalline materials where AMR and PHR have the same magnitude, and π/4 out of phase, the magnitudes of AMR and PHR of materials with two vector order parameters are not the same in general, and the phase difference is not π/4. Instead of π periodicity of the usual AMR and PHR, the periodicities of materials with two order parameters are 2π.

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Anisotropic Galvanomagnetic Effects in Single Cubic Crystals: A Theory and Its Verification

Miao,

Sun,

Gao

et al. 2024

Phys. Rev. Lett.

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Anisotropic magnetoresistance: A 170-year-old puzzle solved

Cited by 3 publications

References 11 publications

A theory for anisotropic magnetoresistance in materials with two vector order parameters

A theory for anisotropic magnetoresistance in materials with two vector order parameters

A Theory for Anisotropic Magnetoresistance in Materials with Two Vector Order Parameters

Anisotropic Galvanomagnetic Effects in Single Cubic Crystals: A Theory and Its Verification

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