Effective model for a short Josephson junction with a phase discontinuity
| Autor: | Alexandre I. Buzdin, Reinhold Kleiner, Edward Goldobin, Dieter Koelle, S. Mironov, R. G. Mints |
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| Přispěvatelé: | Physikalisches Institut and Center for Quantum Science in LISA, Eberhard Karls Universität Tübingen = Eberhard Karls University of Tuebingen, Laboratoire Ondes et Matière d'Aquitaine (LOMA), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), The Wise Observatory and The Raymond & Beverly Sackler School of Physics and Astronomy, Tel Aviv University [Tel Aviv], European Project: MP1201,NanoSC-COST, Tel Aviv University (TAU) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Josephson effect
Physics Condensed matter physics Condensed Matter - Superconductivity Degenerate energy levels FOS: Physical sciences 02 engineering and technology Large range 021001 nanoscience & nanotechnology Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 01 natural sciences Superconductivity (cond-mat.supr-con) [PHYS.COND.CM-S]Physics [physics]/Condensed Matter [cond-mat]/Superconductivity [cond-mat.supr-con] Condensed Matter::Superconductivity 0103 physical sciences Critical current 010306 general physics 0210 nano-technology Ground state Scaling Quantum tunnelling Mathematical physics |
| Zdroj: | Physical Review B: Condensed Matter and Materials Physics (1998-2015) Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2016, 93 (13), pp.134514 (1-10). ⟨10.1103/PhysRevB.93.134514⟩ Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2016, 93 (13), pp.134514 (1-10). ⟨10.1103/PhysRevB.93.134514⟩ |
| ISSN: | 1098-0121 1550-235X |
| Popis: | We consider a short Josephson junction with a phase discontinuity $\ensuremath{\kappa}$ created, e.g., by a pair of tiny current injectors, at some point ${x}_{0}$ along the width of the junction. We derive the effective current-phase relation (CPR) for the system as a whole, i.e., reduce it to an effective pointlike junction. From the effective CPR we obtain the ground state of the system and predict the dependence of its critical current on $\ensuremath{\kappa}$. We show that in a large range of $\ensuremath{\kappa}$ values the effective junction behaves as a ${\ensuremath{\varphi}}_{0}$ Josephson junction, i.e., has a unique ground state phase ${\ensuremath{\varphi}}_{0}$ within each $2\ensuremath{\pi}$ interval. For $\ensuremath{\kappa}\ensuremath{\approx}\ensuremath{\pi}$ and ${x}_{0}$ near the middle of the junction one obtains a ${\ensuremath{\varphi}}_{0}\ifmmode\pm\else\textpm\fi{}\ensuremath{\varphi}$ junction, i.e., a Josephson junction with degenerate ground state phase ${\ensuremath{\varphi}}_{0}\ifmmode\pm\else\textpm\fi{}\ensuremath{\varphi}$ within each $2\ensuremath{\pi}$ interval. Further, in view of possible escape experiments especially in the quantum domain, we investigate the scaling of the energy barrier and eigenfrequency close to the critical currents and predict the behavior of the escape histogram width $\ensuremath{\sigma}(\ensuremath{\kappa})$ in the regime of the macroscopic quantum tunneling. |
| Databáze: | OpenAIRE |
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