Abstract

AbstractWe explore the order–disorder duality relation existing between the spin degrees of freedom and the skyrmion topological excitations in a quenched, disordered SO(3) quantum spin system described by a Heisenberg hamiltonian with nearest neighbor interactions and a Gaussian distribution of couplings. The quantum skyrmion correlation functions are evaluated in each of the phases presented by the system. These realize all possibilities allowed by the duality relation. There is a spin‐glass phase at finite temperature, where the skyrmion correlator have a power‐law behavior. The Berezinskii–Kosterlitz–Thouless (BKT) mechanism stabilizes this phase.

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