Construction of a well-defined free energy from the harmonic approximation for Josephson junctions

R. S. Fishman

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13 Scopus citations

Abstract

The trial free energy of the harmonic approximation, which has been widely used to study Josephson junctions, diverges to negative infinity in the normal state for any finite temperature because a nonperiodic, harmonic Hamiltonian is used to describe a periodic system. In this paper, I employ a periodic, scalloped potential to construct a well-defined free energy, which is then minimized to obtain self-consistent solutions that are close to the harmonic solutions when phase fluctuations are small.

Original languageEnglish
Pages (from-to)11996-11999
Number of pages4
JournalPhysical Review B
Volume38
Issue number16
DOIs
StatePublished - 1988

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