Theory of coexistence of superconductivity and ferroelectricity
Y. Krivolapov, A. Mann, Joseph L. Birman
DOI 10.1103/PhysRevB.75.092503 · Physical Review B
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Abstract
An investigation of the coexistence and competition of ferroelectricity and superconductivity is reported. We show that the starting Hamiltonian of a previous study by Birman and Weger [Phys. Rev. B 64, 174503 (2001)] can be exactly diagonalized. The result differs significantly from mean-field theory. A Hamiltonian with a different realization of the coupling between ferroelectricity and superconductivity is proposed. We report the results for mean-field theory applied to this Hamiltonian. We find that the order parameters are strongly affected by this coupling. The “Matthias conjecture” [Ferroelectricity, edited by E. Weller (Elsevier, New York, 1976)] that each of these order parameters tends to suppress the other is supported by our results.
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