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

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

2002-12-03

arxiv.org/abs/cond-mat/0212074v2

Phys. Rev. Lett. 91, 097202 (2003)

Physics

Condensed Matter

Materials Science

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

Scientific paper

10.1103/PhysRevLett.91.097202

We derive an effective Hamiltonian for ${\rm Ga}_{1-x}{\rm Mn}_x {\rm As}$ in the dilute limit, where ${\rm Ga}_{1-x}{\rm Mn}_x {\rm As}$ 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 $x \sim 0.03$.

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