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arXiv · 1306.2949

Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets

Troels Arnfred Bojesen·Asle Sudbø
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Abstract

We consider a lattice model of two complex scalar matter fields $z_{a}, a=1,2$ under a CP1 constraint $\abs{z_1}^2+\abs{z_2}^2=1$, minimally coupled to a compact gauge field, with an additional Berry phase term. This model has been the point of origin for a large body of works addressing novel paradigms for quantum criticality, in particular spin-quark (spinon) deconfinement in S=1/2 quantum antiferromagnets. We map the model exactly to a link-current model, which permits the use of classical worm algorithms to study the model in large-scale Monte Carlo simulations on lattices of size L^3, up to L=360. We show that the addition of a Berry phase term to the lattice $\CP$-model suppresses the phase transition in the $\groupO{3}$ universality class of the $\CP$-model. The link-current formulation of the model is useful in identifying the mechanism by which the phase transition is suppressed.

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Troels Arnfred Bojesen, Asle Sudbø. 2013-06-12. Berry phases, current lattices, and suppression of phase transitions in a lattice gauge theory of quantum antiferromagnets. https://doi.org/10.1103/physrevb.88.094412

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