Many-body spin Berry phases emerging from the $π$-flux state: antiferromagnetic/valence-bond-solid competition

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dc.creatorTanaka, Akihiro
dc.creatorHU, Xiao
dc.date2005-01-17
dc.date2005-01-19
dc.date.accessioned2026-07-07T03:03:16Z
dc.date.available2026-07-07T03:03:16Z
dc.descriptionWe uncover new topology-related features of the $π$-flux saddle-point solution of the $D$=2+1 Heisenberg antiferromagnet. We note that symmetries of the spinons sustain a built-in competition between antiferromagnetic (AF) and valence-bond-solid (VBS) orders, the two tendencies central to recent developments on quantum criticality. An effective theory containing an analogue of the Wess-Zumino-Witten term is derived, which generates quantum phases related to AF monopoles with VBS cores, and reproduces Haldane's hedgehog Berry phases. The theory readily generalizes to $π$-flux states for all $D$.
dc.description4 pages, revised
dc.identifierhttps://arxiv.org/abs/cond-mat/0501365
dc.identifierhttp://arxiv.org/abs/cond-mat/0501365
dc.identifierPhysical Review Letters vol. 95, 036402 (2005).
dc.identifierdoi:10.1103/PhysRevLett.95.036402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25691
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleMany-body spin Berry phases emerging from the $π$-flux state: antiferromagnetic/valence-bond-solid competition
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