Friday, April 19, 2013

1304.4938 (Flavio S. Nogueira et al.)

Deconfined Quantum Criticality and Conformal Phase Transition in
Two-Dimensional Antiferromagnets
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Flavio S. Nogueira, Asle Sudbo
Deconfined quantum criticality of two-dimensional SU(2) quantum antiferromagnets featuring a transition from an antiferromagnetically ordered ground state to a so-called valence-bond solid state, is governed by a non-compact CP^1 model with a Maxwell term in 2+1 spacetime dimensions. We introduce a new perspective on deconfined quantum criticality within a field-theoretic framework based on an expansion in powers of \epsilon=4-d for fixed number N of complex matter fields. Namely, we show that in the allegedly weak first-order transition regime, a so-called conformal phase transition leads to a genuine deconfined quantum critical point. In a conformal phase transition, the gap vanishes when the critical point is approached from above and diverges when it is approached from below. We also find that the spin stiffness has a universal jump at the critical point.
View original: http://arxiv.org/abs/1304.4938

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