Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field

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dc.creatorPowell, Stephen
dc.creatorChalker, J. T.
dc.date2008-03-29
dc.date2008-05-22
dc.date.accessioned2026-07-07T09:52:42Z
dc.date.available2026-07-07T09:52:42Z
dc.descriptionCertain classical statistical systems with strong local constraints are known to exhibit Coulomb phases, where long-range correlation functions have power-law forms. Continuous transitions from these into ordered phases cannot be described by a naive application of the Landau-Ginzburg-Wilson theory, since neither phase is thermally disordered. We present an alternative approach to a critical theory for such systems, based on a mapping to a quantum problem in one fewer spatial dimensions. We apply this method to spin ice, a magnetic material with geometrical frustration, which exhibits a Coulomb phase and a continuous transition to an ordered state in the presence of a magnetic field applied in the [100] direction.
dc.description15 pages, 4 figures; to be published in Phys. Rev. B; v2: added comments about thermal fluctuations out of spin ice states
dc.identifierhttps://arxiv.org/abs/0803.4204
dc.identifierhttp://arxiv.org/abs/0803.4204
dc.identifierPhys. Rev. B 78, 024422 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.024422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165689
dc.subjectStatistical Mechanics
dc.titleClassical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
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