Kosterlitz-Thouless Transitions on Fluctuating Surfaces

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dc.creatorPark, Jeong-Man
dc.creatorLubensky, T. C.
dc.date1995-12-13
dc.date.accessioned2026-07-07T03:08:06Z
dc.date.available2026-07-07T03:08:06Z
dc.descriptionWe investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it. In the former, both disclinations and Gaussian curvature contribute to the charge density. In the latter, there is a linear coupling between a scalar field and the Gaussian curvature. We derive renormalization group recursion relations that predict a transition with decreasing bending rigidity $κ$. Using the sine-Gordon model, we show that there is no KT transition on a deformable sphere.
dc.descriptionREVTEX, 11 pages with 2 postscript figures compressed using uufiles
dc.identifierhttps://arxiv.org/abs/cond-mat/9512107
dc.identifierhttp://arxiv.org/abs/cond-mat/9512107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27426
dc.subjectCondensed Matter
dc.titleKosterlitz-Thouless Transitions on Fluctuating Surfaces
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