Clustering in disordered ferromagnets: The Curie temperature in diluted magnetic semiconductors

Abstract

We theoretically investigate impurity correlation and magnetic clustering effects on the long-range ferromagnetic ordering in diluted magnetic semiconductors, such as ${\text{Ga}}_{1-x}{\text{Mn}}_x\text{As}$, using analytical arguments and direct Monte Carlo simulations. We obtain an analytic formula for the ferromagnetic transition temperature $T_c$ which becomes asymptotically exact in the strongly disordered, highly dilute (i.e. small $x$) regime. We establish that impurity correlations have only small effects on $T_c$ with the neutrally correlated random disorder producing the nominally highest $T_c$. We find that the ferromagnetic order is approached from the high temperature paramagnetic side through a random magnetic clustering phenomenon consistent with the percolation transition scenario.

arXiv comment5 pages, 4 figures

References in corpus (12)

• Spintronics: Fundamentals and applications
• Hole-mediated ferromagnetism in tetrahedrally coordinated semiconductors
• High Temperature Ferromagnetism with Giant Magnetic Moment in Transparent Co-doped SnO2-d
• Polaron percolation in diluted magnetic semiconductors
• Ferromagnetic Semiconductors: Moving Beyond (Ga,Mn)As
• Transition temperature of ferromagnetic semiconductors: a dynamical mean field study
• A disordered RKKY lattice mean field theory for ferromagnetism in diluted magnetic semiconductors
• Disorder effects in diluted magnetic semiconductors
• Global versus Local Ferromagnetism in a Model for Diluted Magnetic Semiconductors Studied with Monte Carlo Techniques
• How to make semiconductors ferromagnetic: A first course on spintronics
• Ferromagnetic and random spin ordering in diluted magnetic semiconductors
• Clustered States as a New Paradigm of Condensed Matter Physics

Cited by in corpus (5)

• Quasi-Two Dimensional Diluted Magnetic Semiconductors with Arbitrary Carrier Degeneracy
• The influence of structural short-range order on the phase diagrams of diluted FCC magnet with arbitrary spin and modified RKKY interaction
• Critical behavior of diluted magnetic semiconductors: the apparent violation and the eventual restoration of the Harris criterion for all regimes of disorder
• Magnetic Order in 3D Topological Insulators -- Wishful Thinking or Gateway to Emergent Quantum Effects?
• Clustering induced suppression of ferromagnetism in diluted magnets