Interlayer Josephson tunneling and breakdown of Fermi liquid theory

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Abstract
From the single assumption that the spectral density of the single particle excitations in high temperature superconductors obeys a scaling property characterized by a nonvanishing exponent α, an interlayer tunneling Hamiltonian is obtained. A nonvanishing value of the exponent α implies breakdown of the Fermi liquid theory at sufficiently low energies and low temperatures, consistent with experiments.