Continuum Mechanics and Thermodynamics

, Volume 27, Issue 4–5, pp 639–658 | Cite as

Resonant phase dynamics in 0-π Sine–Gordon facets

  • Giacomo Rotoli
  • Daniela Stornaiuolo
  • Karin Cedergren
  • Antonio Leo
  • Thilo Bauch
  • Filomena Lombardi
  • Francesco Tafuri
Original Article


A locally phase-shifted Sine–Gordon model well accounts for the phenomenology of unconventional Josephson junctions. The phase dynamics shows resonant modes similar to Fiske modes that appear both in the presence and in the absence of the external magnetic field in standard junctions. In the latter case, they are also in competition with zero field propagation of Sine–Gordon solitons, i.e., fluxons, which give rise to the so-called zero field steps in the current–voltage (I–V) of the junction. We numerically study the I–V characteristics and the resonances magnetic field patterns for some different faceting configurations, in various dissipative regimes, as a function of temperature. The simulated dynamics of the phase is analyzed for lower-order resonances. We give evidence of a nontrivial dynamics due to the interaction of propagating fluxons with localized semifluxons. Numerical results are compared with experimental outcomes obtained on high-quality high-Tc grain boundary YBCO junctions.


Sine–Gordon equation Josephson effect Fluxons 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Giacomo Rotoli
    • 1
  • Daniela Stornaiuolo
    • 2
  • Karin Cedergren
    • 3
  • Antonio Leo
    • 4
  • Thilo Bauch
    • 3
  • Filomena Lombardi
    • 3
  • Francesco Tafuri
    • 5
  1. 1.Dipartimento di Ingegneria Industriale edell’InformazioneSeconda Università di NapoliAversaItaly
  2. 2.CNR-SPIN e Dipartimento di Scienze FisicheUniversitá di Napoli “Federico II”NaplesItaly
  3. 3.Department of Microelectronics and NanoscienceChalmers University of Technology and Göteborg UniversityGōteborgSweden
  4. 4.CNR-SPIN and Dipartimento di Fisica E R CaianielloUniversitá di SalernoFiscianoItaly
  5. 5.CNR-SPIN and Dipartimento di Ingegneria Industriale edell’InformazioneSeconda Università di NapoliAversaItaly

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