Phase transition of dissipative Josephson arrays in a magnetic field
Arno Kampf, Gerd Schön
DOI 10.1103/PhysRevB.37.5954 · Physical Review B
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Abstract
The phase diagram of an array of Josephson junctions in a transverse magnetic field is investigated. The capacitive interactions of charges on the superconducting islands and the associated quantum-mechanical effects, as well as the dissipation due to the flow of normal Ohmic currents, are taken into account. The mean-field approximation of this system can be mapped onto the tight-binding Schrödinger equation for Bloch electrons in a magnetic field, which had been analyzed by Hofstadter. We show how the transition temperature depends on the dissipation and the charging energy.
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