Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2009-09-28
Phys. Rev. B 81, 014406 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages. Published version.
Scientific paper
10.1103/PhysRevB.81.014406
We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground states, and this degeneracy may prevent ordering at any temperature. Weak exchange randomness favours a small subset of these ground states and induces a spin-glass transition at an ordering temperature determined by the amplitude of modulations in interaction strength. We use the replica approach to formulate a theory for this transition, showing that it falls into the same universality class as conventional spin-glass transitions. In addition, we show that a model with a low concentration of defect bonds can be mapped onto a system of randomly located pseudospins that have dipolar effective interactions. We also present detailed results from Monte Carlo simulations of the classical Heisenberg antiferromagnet on the pyrochlore lattice with weak randomness in nearest neighbour exchange.
Andreanov Alexei
Chalker John T.
Saunders Timothy E.
Sherrington David
No associations
LandOfFree
Spin glass transition in geometrically frustrated antiferromagnets with weak disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spin glass transition in geometrically frustrated antiferromagnets with weak disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spin glass transition in geometrically frustrated antiferromagnets with weak disorder will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-234858