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Spinon deconfinement above a finite energy gap in 2d Quantum Heisenberg Antiferromagnets

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arxiv cond-mat/0010041 v2 pith:V3KXDPLS submitted 2000-10-02 cond-mat.str-el cond-mat.supr-con

Spinon deconfinement above a finite energy gap in 2d Quantum Heisenberg Antiferromagnets

classification cond-mat.str-el cond-mat.supr-con
keywords energyquantumfiniteheisenbergaboveantiferromagnetsfunctionsskyrmion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The familiar spin-1/2 quantum Heisenberg antiferromanget in a 2d square lattice is shown, within the non linear sigma model approximations, to be another novel state of matter that has excitations with fractional quantum numbers above a finite energy gap. 1-skyrmion with an energy $\approx 2\pi J$ is shown to be made of two `deconfined spinons' or `SU(2) vortices'. The many skyrmion operator and the wave functions that we have found are strikingly similar to quantum Hall quasi particle operators and wave functions. We also predict the presence of finite energy `spin-S spinon' for a general spin-S Heisenberg antiferromagnets in 2d. Some consequences are briefly discussed.

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