Corrections to scaling in the critical theory of deconfined criticality

Inspired by recent conflicting views on the order of the phase transition from an antiferromagnetic Neel state to a valence bond solid, we use the functional renormalization group to study the underlying quantum critical field theory which couples two complex matter fields to a noncompact gauge fiel...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-11, Vol.88 (19), Article 195140
Main Author: Bartosch, Lorenz
Format: Article
Language:English
Subjects:
Bonding
Condensed matter
Convergence
Couples
Derivatives
Eigenvalues
Mathematical analysis
Monte Carlo methods
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Summary:Inspired by recent conflicting views on the order of the phase transition from an antiferromagnetic Neel state to a valence bond solid, we use the functional renormalization group to study the underlying quantum critical field theory which couples two complex matter fields to a noncompact gauge field. In our functional renormalization group approach, we only expand in covariant derivatives of the fields and use a truncation in which the full field dependence of all wave-function renormalization functions is kept. While we do find critical exponents which agree well with some quantum Monte Carlo studies and support the scenario of deconfined criticality, we also obtain an irrelevant eigenvalue of small magnitude, leading to strong corrections to scaling and slow convergence in related numerical studies.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.88.195140