Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets

Details Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets Impurity spin textures across conventional and deconfined quantum critical points of two-dimensional antiferromagnets

2007-03-29

arxiv.org/abs/cond-mat/0703790v1

Physical Review B 76, 064423 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

30 pages, 9 figures

Scientific paper

10.1103/PhysRevB.76.064423

We describe the spin distribution in the vicinity of a non-magnetic impurity in a two-dimensional antiferromagnet undergoing a transition from a magnetically ordered Neel state to a paramagnet with a spin gap. The quantum critical ground state in a finite system has total spin S=1/2 (if the system without the impurity had an even number of S=1/2 spins), and recent numerical studies in a double layer antiferromagnet (K. H.Hoglund et al., cond-mat/0611418) have shown that the spin has a universal spatial form delocalized across the entire sample. We present the field theory describing the uniform and staggered magnetizations in this spin texture for two classes of antiferromagnets: (i) the transition from a Neel state to a paramagnet with local spin singlets, in models with an even number of S=1/2 spins per unit cell, which are described by a O(3) Landau-Ginzburg-Wilson field theory; and (ii) the transition from a Neel state to a valence bond solid, in antiferromagnets with a single S=1/2 spin per unit cell, which are described by a deconfined field theory of spinons.

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