Diluted Magnetic Semiconductor at Finite Temperature
Shih-Jye Sun, Hsiu-Hau Lin

TL;DR
This paper presents a self-consistent Green's function approach to study diluted magnetic semiconductors at finite temperatures, revealing a simple formula for critical temperature and a distinctive concave magnetization curve.
Contribution
It introduces a novel theoretical method that accurately captures spin-wave kinematics and provides new insights into the magnetic properties of diluted magnetic semiconductors.
Findings
Critical temperature can be calculated with a simple formula.
Magnetization curve versus temperature is concave.
Method can be extended to include band structure, correlations, and disorder.
Abstract
We studied the diluted magnetic semiconductor by the self-consistent Green's function approach, which treats the spin-wave kinematics appropriately at finite temperatures. The critical temperature can be obtained by a simple formula in a wide range of parameter space. In addition, the magnetization curve versus temperature is concave, which is dramatically different from the usual convex shape. Finally, we discuss the possibility of generalizing the current theory to include the realistic band structure, electronic correlations and disorders in a systematic way.
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