Effective Hamiltonian for Ga_{1-x}Mn_xAs in the Dilute Limit

Abstract

We derive an effective Hamiltonian for ${\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$ in the dilute limit, where ${\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$ can be described in terms of spin $F=3/2$ polarons hopping between the {\rm Mn} sites and coupled to the local {\rm Mn} spins. We determine the parameters of our model from microscopic calculations. Our approach treats the large Coulomb interaction in a non-perturbative way, captures the effects of spin-orbit coupling and disorder, and is appropriate for other p-doped magnetic semiconductors. Our model applies to uncompensated {\rm Mn} concentrations up to $x\sim 0.03$.

arXiv comment4 pages, 4 figures, Version to appear in Phys. Rev. Lett

References in corpus (5)

• Bound Magnetic Polaron Interactions in Insulating Doped Diluted Magnetic Semiconductors
• Correlated defects, metal-insulator transition, and magnetic order in ferromagnetic semiconductors
• Monte Carlo simulations of an impurity band model for III-V diluted magnetic semiconductors
• Photoemission studies of Ga${}_{1-x}$Mn${}_x$As: Mn-concentration dependent properties
• Metal-Insulator Transition and Ferromagnetism in Diluted Magnetic Semiconductors

Cited by in corpus (28)

• Theory of ferromagnetic (III,Mn)V semiconductors
• Ferromagnetic Semiconductors: Moving Beyond (Ga,Mn)As
• Spatial structure of an individual Mn acceptor in GaAs
• Disorder effects in diluted magnetic semiconductors
• Bose polarons at finite temperature and strong coupling
• Mean-field magnetization relaxation in conducting ferromagnets
• Onset of ferromagnetism in low-doped GaMnAs
• Anomalous behavior of spin wave resonances in Ga_{1-x}Mn_{x}As thin films
• Influence of non-local exchange on RKKY interactions in III-V diluted magnetic semiconductors
• The Scaling of the Anomalous Hall Effect in the Insulating Regime
• Jahn-Teller Distortion and Ferromagnetism in the Dilute Magnetic Semiconductors GaN:Mn
• Spatial structure of Mn-Mn acceptor pairs in GaAs
• Spin-orientation-dependent spatial structure of a magnetic acceptor state in a zincblende semiconductor
• Charge inhomogeneities and transport in semiconductor heterostructures with a manganese $\delta$-layer
• Carrier induced ferromagnetism in diluted local-moment systems
• Positional Disorder, Spin-Orbit Coupling and Frustration in GaMnAs
• Exchange anisotropy, disorder and frustration in diluted, predominantly ferromagnetic, Heisenberg spin systems
• Disorder, spin-orbit, and interaction effects in dilute ${\mathrm{Ga}}_{1-x}{\mathrm{Mn}}_x\mathrm{As}$
• The influence of structural short-range order on the phase diagrams of diluted FCC magnet with arbitrary spin and modified RKKY interaction
• Magnetotransport in the insulating regime of Mn doped GaAs
• Magnetic susceptibility of diluted magnetic semiconductors at low carrier densities
• Magnetic susceptibilities of diluted magnetic semiconductors and anomalous Hall-voltage noise
• Impurity bands and the character of the electronic states in ferromagnetic GaMnAs layers
• Heitler-London model for acceptor-acceptor interactions in doped semiconductors
• Transport in the metallic regime of Mn doped III-V Semiconductors
• Ground-state properties and molecular theory of Curie temperature in the coherent potential approximation of diluted magnetic semiconductors
• Possible magnetic-field-induced voltage and thermopower in diluted magnetic semiconductors
• RKKY interaction in Mn-doped 4 $\times$ 4 Luttinger systems