On Spin 1/2 Excitations and Quantum Criticality in Two Dimensional O(3) Antiferromagnets

Details On Spin 1/2 Excitations and Quantum Criticality in Two Dimensional O(3) Antiferromagnets On Spin 1/2 Excitations and Quantum Criticality in Two Dimensional O(3) Antiferromagnets

2004-11-08

arxiv.org/abs/cond-mat/0411204v2

Physics

Condensed Matter

Strongly Correlated Electrons

27 pages

Scientific paper

We show that despite the absence of a Hopf term and zero Berry phase terms, the N`eel ordered phase of 2+1 D quantum antiferromagnets have spin 1/2 excitations, i.e. spinons. The spinons are skyrmion excitations of a topological nature. Since skyrmion gap is proportional to the spin stiffness, quantum criticality corresponds to skyrmion gap collapse. We speculate that skyrmions are relevant at criticality and are, perhaps, related to recent suggestions of critical fractionalization.

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