Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1955 · 101 citations · 1 references
Natural SciencesChemistryPhysicsCondensed Matter PhysicsHeat TransferInorganic ChemistryChemical ThermodynamicsMetalsPhase TransitionsStrongly Correlated Electron SystemsSuperconducting MaterialsThermal Properties Of MaterialsAmmonium Perchlorate DecompositionCritical TemperatureLattice VibrationsPerchlorate SaltsSecond-order KineticsSuperconductivity In Low-dimensional SystemsThermal DecompositionThermal Decomposition Reactions
Abstract Fröhlich has shown that a one-dimensional metal, at absolute zero, can exhibit certain of the properties of a superconductor when the interaction between the lattice vibrations and the electrons is sufficiently strong. The self-consistent method used by him is extended to finite temperatures, and the specific heat is calculated. It is shown that the model exhibits a second-order transition at a temperature which is related to the magnitude of the coupling constant. The approximations demand a coupling constant which is much larger than that of any real metal.
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L. L. Bircumshaw, B. H. Newman · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1955 · 102 citations