Abstract

In the antiferromagnetic spin glass (ASG) the distribution of magnetic moment is chaotic but there is an effective antiferromagnetic order in the system. The chaotic distributed positive and negative bonds are source of frustrations. We have studied dynamics of ASG using an effective Lagrangian. The presence of frustrations requires us to introduce additional parameters (gauge fields). The dynamics of frustrations were described with analogy to dynamics of dislocations in crystals. We found spin waves with linear dispersion law in ASG. Due to the frustrations those spin waves are damped and for small frequency they become purely dissipative. The present method can be applied to a description of other magnetic systems with topological solitons.

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