The role of Berry phase in the spectrum of order parameter dynamics: a new perspective on Haldane's conjecture on antiferromagnetic spin chains

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dc.creatorYu, Yue
dc.creatorNiu, Qian
dc.date2000-03-17
dc.date.accessioned2026-07-07T02:37:06Z
dc.date.available2026-07-07T02:37:06Z
dc.descriptionWe formulate the dynamics of local order parameters by extending the recently developed adiabatic spinwave theory involving the Berry curvature, and derive a formula showing explicitly the role of the Berry phase in determining the spectral form of the low-lying collective modes. For antiferromagnetic spin chains, the Berry phase becomes a topological invariant known as the Chern number. Our theory predicts the existence of the Haldane gap for a topologically trivial ground state, and a linear dispersion of low-lying excitations for a non-trivial ground state.
dc.description4 pages, Revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0003293
dc.identifierhttp://arxiv.org/abs/cond-mat/0003293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16166
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titleThe role of Berry phase in the spectrum of order parameter dynamics: a new perspective on Haldane's conjecture on antiferromagnetic spin chains
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