Valence bond solid order near impurities in two-dimensional quantum antiferromagnets

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dc.creatorMetlitski, Max A.
dc.creatorSachdev, Subir
dc.date2007-10-03
dc.date2008-01-07
dc.date.accessioned2026-07-07T09:19:30Z
dc.date.available2026-07-07T09:19:30Z
dc.descriptionRecent scanning tunnelling microscopy (STM) experiments on underdoped cuprates have displayed modulations in the local electronic density of states which are centered on a Cu-O-Cu bond (Kohsaka et. al., cond-mat/0703309). As a paradigm of the pinning of such bond-centered ordering in strongly correlated systems, we present the theory of valence bond solid (VBS) correlations near a single impurity in a square lattice antiferromagnet. The antiferromagnet is assumed to be in the vicinity of a quantum transition from a magnetically ordered Neel state to a spin-gap state with long-range VBS order. We identify two distinct classes of impurities: i) local modulation in the exchange constants, and ii) a missing or additional spin, for which the impurity perturbation is represented by an uncompensated Berry phase. The `boundary' critical theory for these classes is developed: in the second class we find a `VBS pinwheel' around the impurity, accompanied by a suppression in the VBS susceptibility. Implications for numerical studies of quantum antiferromagnets and for STM experiments on the cuprates are noted.
dc.description41 pages, 6 figures; (v2) Minor changes in terminology, added references
dc.identifierhttps://arxiv.org/abs/0710.0626
dc.identifierhttp://arxiv.org/abs/0710.0626
dc.identifierPhysical Review B 77, 054411 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.054411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154414
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleValence bond solid order near impurities in two-dimensional quantum antiferromagnets
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