Advanced resistivity model for arbitrary magnetization orientation applied to a series of compressive- to tensile-strained (Ga,Mn)As layers

Abstract

The longitudinal and transverse resistivities of differently strained (Ga,Mn)As layers are theoretically and experimentally studied as a function of the magnetization orientation. The strain in the series of (Ga,Mn)As layers is gradually varied from compressive to tensile using (In,Ga)As templates with different In concentrations. Analytical expressions for the resistivities are derived from a series expansion of the resistivity tensor with respect to the direction cosines of the magnetization. In order to quantitatively model the experimental data, terms up to the fourth order have to be included. The expressions derived are generally valid for any single-crystalline cubic and tetragonal ferromagnet and apply to arbitrary surface orientations and current directions. The model phenomenologically incorporates the longitudinal and transverse anisotropic magnetoresistance as well as the anomalous Hall effect. The resistivity parameters obtained from a comparison between experiment and theory are found to systematically vary with the strain in the layer.

14 pages, 11 figures, submitted to Phys. Rev. B

References in corpus (19)

• Spintronics: Fundamentals and applications
• Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors
• Theory of ferromagnetic (III,Mn)V semiconductors
• Anomalous Hall effect in ferromagnetic semiconductors
• Ferromagnetic Semiconductors: Moving Beyond (Ga,Mn)As
• Giant Planar Hall Effect in Epitaxial (Ga,Mn)As Devices
• Theory of Magnetic Anisotropy in III_{1-x}Mn_{x}V Ferromagnets
• Temperature Dependent Magnetic Anisotropy in (Ga,Mn)As Layers
• Temperature Dependent Magnetic Anisotropy in (Ga,Ma)As Layers
• Anisotropic Magnetoresistance components in (Ga,Mn)As
• Anisotropic Magnetoresistance in Ga${}_{1-x}$Mn${}_x$As
• DC-transport properties of ferromagnetic (Ga,Mn)As semiconductors
• Anisotropic Magnetoresistance and Magnetic Anisotropy in High-quality (Ga,Mn)As Films
• Angle-dependent magnetotransport in cubic and tetragonal ferromagnets: Application to (001)- and (113)A-oriented (Ga,Mn)As
• Boltzmann theory of engineered anisotropic magnetoresistance in (Ga,Mn)As
• Magnetic properties and domain structure of (Ga,Mn)As films with perpendicular anisotropy
• Magnetoresistance and Hall Effect in the Ferromagnetic Semiconductor GaMnAs
• Quantitative Study of Magnetotransport through a (Ga,Mn)As Single Ferromagnetic Domain
• Magnetic anisotropy switching in (Ga,Mn)As with increasing hole concentration

Cited by in corpus (19)

• Quantitative study of the spin Hall magnetoresistance in ferromagnetic insulator/normal metal hybrids
• Temperature dependent spin transport properties of Platinum inferred from spin Hall magnetoresistance measurements
• Anomalous Hall effect in YIG$|$Pt bilayers
• Anisotropic magnetoresistance: materials, models and applications
• Intrinsic mechanism for anisotropic magnetoresistance and experimental confirmation in Co${}_x$Fe${}_{1-x}$ single-crystal films
• Piezo-control of magnetic anisotropy in GaMnAs: Reversible manipulation of magnetization orientation and irreversible magnetization switching
• Lithographically and electrically controlled strain effects on anisotropic magnetoresistance in (Ga,Mn)As
• Scaling relation of the anomalous Hall effect in (Ga,Mn)As
• Microscopic mechanism of the non-crystalline anisotropic magnetoresistance in (Ga,Mn)As
• Strain induced changes of electronic properties of B-site ordered double perovskite Sr${}_2$CoIrO${}_6$ thin films
• Angle-Dependent Spin-Wave Resonance Spectroscopy of (Ga,Mn)As Films
• A theory for anisotropic magnetoresistance in materials with two vector order parameters
• Strain, magnetic anisotropy, and anisotropic magnetoresistance in (Ga,Mn)As on high-index substrates: application to (113)A-oriented layers
• Anisotropic magneto-thermal transport in Co${}_2$MnGa thin films
• Theoretical Study on Four-fold Symmetric Anisotropic Magnetoresistance Effect in Cubic Single-crystal Ferromagnetic Model
• Angular dependence of Hall effect and magnetoresistance in SrRuO${}_3$-SrIrO${}_3$ heterostructures
• Cubic magneto-optic Kerr effect in Ni(111) thin films with and without twinning
• Determining Curie temperature of (Ga,Mn)As samples based on electrical transport measurements: low Curie temperature case
• Even-in-magnetic field part of transverse resistivity as a probe of magnetic transitions