Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-04-03
Phys. Rev. B 63, 014405 (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages RevTeX
Scientific paper
10.1103/PhysRevB.63.014405
We study the quantum phase transition of an itinerant antiferromagnet with cubic anisotropy in the presence of quenched disorder, paying particular attention to the locally ordered spatial regions that form in the Griffiths region. We derive an effective action where these rare regions are described in terms of static annealed disorder. A one loop renormalization group analysis of the effective action shows that for order parameter dimensions $p<4$ the rare regions destroy the conventional critical behavior. For order parameter dimensions $p>4$ the critical behavior is not influenced by the rare regions, it is described by the conventional dirty cubic fixed point. We also discuss the influence of the rare regions on the fluctuation-driven first-order transition in this system.
Narayanan Rajesh
Vojta Thomas
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