2005/01/17 by Domenico Giuliano, Pasquale Sodano
Physics and Astronomy · #Nonlinear Photonic Systems #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1016/j.nuclphysb.2005.01.037
published as Nucl. Phys. B711, 480-504, (2005) · 30 pages, 1 .eps figure
arxiv created 2005/01/17 · openalex publication_date 2005/02/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show that a finite Josephson Junction (JJ) chain, ending with two bulk superconductors, and with a weak link at its center, may be regarded as a condensed matter realization of a two-boundary Sine-Gordon model. Computing the partition function yields a remarkable analytic expression for the DC Josephson current as a function of the phase difference across the chain. We show that, in a suitable range of the chain parameters, there is a crossover of the DC Josephson current from a sinusoidal to a sawtooth behavior, which signals a transition from a regime where the boundary term is an irrelevant operator to a regime where it becomes relevant.