Dyon Analogs in Antiferromagnetic Chains

Abstract

A close analogy is pointed out between dyons (particles with electric and magnetic charge) in grand-unified theories and solitons in antiferromagnetic chains. For nonzero topological angle $\theta$, dyon electric charges are noninteger: $q=(n+\frac{\theta }{2\pi })e$. An analogous phenomenon occurs in antiferromagnets with alternating interactions.