Josephson effect in thin films: the role of vortex excitations
S. Khlebnikov

TL;DR
This paper investigates the Josephson effect in thin films focusing on vortex excitations, but it has been withdrawn due to errors in key equations.
Contribution
The study aimed to analyze vortex excitations' impact on the Josephson effect in thin films, introducing a theoretical framework.
Findings
Analysis of vortex excitations in thin films
Theoretical insights into Josephson effect behavior
Identification of errors leading to withdrawal
Abstract
The paper contains an error in Eqs. (14) and (15) and has been withdrawn by the author.
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