2017
DOI: 10.1103/physrevb.95.174507
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Metastability and bifurcation in superconducting nanorings

Abstract: We describe an approach, based on direct numerical solution of the Usadel equation, to finding stationary points of the free energy of superconducting nanorings. We consider both uniform (equilibrium) solutions and the critical droplets that mediate activated transitions between them. For the uniform solutions, we compute the critical current as a function of the temperature, thus obtaining a correction factor to Bardeen's 1962 interpolation formula. For the droplets, we present a metastability chart that show… Show more

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Cited by 5 publications
(4 citation statements)
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“…We start by discussing the behavior of the supercurrent at zero applied magnetic field by varying the amplitude of the electrostatic field and the temperature. The evolution of I C as a function of temperature follows the conventional Bardeen's profile [30][31][32] [33][34][35], and it disappears when T > 400 mK, which is consistent with an enhanced thermalization mediated by phonon coupling.…”
Section: A Electric Field Vs In-and Out-of-plane Magnetic Fieldsupporting
confidence: 61%
“…We start by discussing the behavior of the supercurrent at zero applied magnetic field by varying the amplitude of the electrostatic field and the temperature. The evolution of I C as a function of temperature follows the conventional Bardeen's profile [30][31][32] [33][34][35], and it disappears when T > 400 mK, which is consistent with an enhanced thermalization mediated by phonon coupling.…”
Section: A Electric Field Vs In-and Out-of-plane Magnetic Fieldsupporting
confidence: 61%
“…At the base temperature of 50 mK, the critical current I C ≈ 12.8 µA. The evolution of I C as a function of temperature follows the conventional Bardeen's profile [24][25][26]…”
mentioning
confidence: 89%
“…This relaxation process proceeds through metastable states with different time scales, often characterized by long lifetimes [17,33,34]. Metastability in open quantum systems and relaxation processes from metastable states are a fundamental issue in many branches of physics, chemistry and biology, and recently have been subject of increasing interest in superconducting phase transitions and also in topological condensed matter structures [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50].…”
Section: Introductionmentioning
confidence: 99%