Influence of non-local exchange on RKKY interactions in III-V diluted magnetic semiconductors

Abstract

The RKKY interaction between substitutional Mn local moments in GaAs is both spin-direction-dependent and spatially anisotropic. In this Letter we address the strength of these anisotropies using a semi-phenomenological tight-binding model which treats the hybridization between Mn d-orbitals and As p-orbitals perturbatively and accounts realistically for the non-local exchange interaction between their spins. We show that exchange non-locality, valence-band spin-orbit coupling, and band-structure anisotropy all play a role in determining the strength of both effects. We use these results to estimate the degree of ground-state magnetization suppression due to frustrating interactions between randomly located Mn ions.

arXiv comment4 pages RevTeX, 2 figures included, v2: replacement because of font problem

References in corpus (22)

• Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors
• Mn Interstitial Diffusion in (Ga,Mn)As
• Theory of Magnetic Anisotropy in III_{1-x}Mn_{x}V Ferromagnets
• Effects of annealing time on defect-controlled ferromagnetism in Ga1-xMnxAs
• Interlayer coupling in ferromagnetic semiconductor superlattices
• Can half metallic zincblende MnAs be grown?
• Transition temperature of ferromagnetic semiconductors: a dynamical mean field study
• Unusual direction dependence of exchange energies in GaAs:Mn - Is the RKKY description relevant
• A disordered RKKY lattice mean field theory for ferromagnetism in diluted magnetic semiconductors
• Different origin of the ferromagnetic order in (Ga,Mn)As and (Ga,Mn)N
• Disorder effects in diluted magnetic semiconductors
• On-site Coulomb interaction and the magnetism of (GaMn)N and (GaMn)As
• Exchange interactions and Curie temperature in (GaMn)As
• Multiband tight-binding model of local magnetism in GaMnAs
• Phase Diagram of a Model for Diluted Magnetic Semiconductors Beyond Mean-Field Approximations
• Correlated defects, metal-insulator transition, and magnetic order in ferromagnetic semiconductors
• Magnetic properties of GaMnAS from an effective Heisenberg Hamiltonian
• Effective Hamiltonian for Ga_{1-x}Mn_xAs in the Dilute Limit
• Mechanism of carrier-induced ferromagnetism in magnetic semiconductors
• Disorder effects in diluted ferromagnetic semiconductors
• Enhancing $T_c$ in ferromagnetic semiconductors
• Positional Disorder, Spin-Orbit Coupling and Frustration in GaMnAs

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• Dilute ferromagnetic semiconductors: Physics and spintronic structures
• Prospects of high temperature ferromagnetism in (Ga,Mn)As semiconductors
• Atom-by-Atom Substitution of Mn in GaAs and Visualization of their Hole-Mediated Interactions
• Origin and control of ferromagnetism in dilute magnetic semiconductors and oxides
• A Gate-tunable Polarized Phase of Two-Dimensional Electrons at the LaAlO3/SrTiO3 Interface
• Origin of ferromagnetic response in diluted magnetic semiconductors and oxides
• Why RKKY exchange integrals are inappropriate to describe ferromagnetism in diluted magnetic semiconductors
• Low-temperature magnetization of (Ga,Mn)As semiconductors
• Superexchange in Dilute Magnetic Dielectrics: Application to (Ti,Co)O_2
• Strongly anisotropic RKKY interaction in monolayer black phosphorus
• Spin-orientation-dependent spatial structure of a magnetic acceptor state in a zincblende semiconductor
• Theory of spin waves in ferromagnetic (Ga,Mn)As
• Magnetic properties of substitutional Mn in (110) GaAs surface and subsurface layers
• Mapping the wavefunction of transition metal acceptor states in the GaAs surface
• Spin-transfer physics and the model of ferromagnetism in (Ga,Mn)As
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Magnetic interactions of substitutional Mn pairs in GaAs
• Disorder, spin-orbit, and interaction effects in dilute ${\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$
• Disorder and the effective Mn-Mn exchange interaction in Ga${}_{1-x}$Mn${}_x$As diluted magnetic semiconductors
• The influence of structural short-range order on the phase diagrams of diluted FCC magnet with arbitrary spin and modified RKKY interaction
• Electronic structure and magnetic properties of Mn and Fe impurities near GaAs (110) surface
• Electronic structure of noble metal impurities in semiconductors: Cu in GaP
• Carrier-density-controlled anisotropic spin susceptibility of two-dimensional hole systems
• Magnetic Anisotropy of Single Mn Acceptors in GaAs in an External Magnetic Field
• RKKY interaction induced by two-dimensional hole gases
• Trend of the magnetic anisotropy for individual Mn dopants near the (110) GaAs surface
• Possible magnetic-field-induced voltage and thermopower in diluted magnetic semiconductors
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems
• Spin dynamics of Mn impurities and their bound acceptors in GaAs
• Electric manipulation of the Mn-acceptor binding energy and the Mn-Mn exchange interaction on the GaAs (110) surface by nearby As vacancies
• Small quantum dots of diluted magnetic III-V semiconductor compound