Uemura relation in phase-fluctuation-dominated superconductors
T. K. Kopeć
DOI 10.1103/PhysRevB.66.184504 · Physical Review B
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Abstract
Starting from the “negative-U” Hubbard Hamiltonian of a superconductor with nonretarded interaction on a lattice in three dimensions, we establish an effective theory in terms of the modulus and phase of the superconducting pairing field. This facilitates a scenario where pseudogap is associated with pairing without phase order at T* while superfluidity corresponds to the onset of phase coherence at Tc. Building on this framework we calculate from the linear-response theory the penetration depth λ as a function of temperature and interaction strength U. By studying the crossover from the amplitude to the phase-fluctuation-dominated regime, we find a remarkable quasiuniversal behavior in form of the parametric Uemura plot for the superfluid density ns∼1/λ2 which we discuss in the context of experiments in underdoped and overdoped high-Tc cuprates.
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