Influence of surface losses and the self-pumping effect on current-voltage characteristics of a long Josephson junction

A.L. Pankratov, A.S. Sobolev, V.P. Koshelets, Jesper Mygind

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Abstract

We have numerically investigated the dynamics of a long linear Josephson tunnel junction with overlap geometry. Biased by a direct current (dc) and an applied dc magnetic field, the junction has important applications as tunable high frequency oscillator [flux-flow oscillator (FFO)] in the millimeter and submillimeter range. The study is performed in the frame of a modified sine-Gordon model, which includes surface losses, self-pumping effect, and in an empirical way the superconducting gap. The electromagnetic coupling to the environment is modeled by a simple resistor-capacitor load (RC load) placed at both ends of the FFO. In our model, the damping parameter depends both on the spatial coordinate and on the amplitude of the ac voltage. In order to find the dc current-voltage curves, the damping parameter has to be calculated self-consistently by successive approximations and time integration of the perturbed sine-Gordon equation. The modified model gives better qualitative agreement with experimental results than the conventional perturbed sine-Gordon model.
Original languageEnglish
JournalPhysical Review B Condensed Matter
Volume75
Issue number18
Pages (from-to)184516
ISSN0163-1829
DOIs
Publication statusPublished - 2007

Bibliographical note

Copyright (2007) American Physical Society

Keywords

  • FLUX-FLOW OSCILLATORS
  • RADIATION LINEWIDTH
  • PHASE-LOCKING
  • MILLIMETER
  • SUPERCONDUCTING INTEGRATED RECEIVER
  • SUBMILLIMETER WAVE REGION
  • MICROWAVE FIELDS

Cite this

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title = "Influence of surface losses and the self-pumping effect on current-voltage characteristics of a long Josephson junction",
abstract = "We have numerically investigated the dynamics of a long linear Josephson tunnel junction with overlap geometry. Biased by a direct current (dc) and an applied dc magnetic field, the junction has important applications as tunable high frequency oscillator [flux-flow oscillator (FFO)] in the millimeter and submillimeter range. The study is performed in the frame of a modified sine-Gordon model, which includes surface losses, self-pumping effect, and in an empirical way the superconducting gap. The electromagnetic coupling to the environment is modeled by a simple resistor-capacitor load (RC load) placed at both ends of the FFO. In our model, the damping parameter depends both on the spatial coordinate and on the amplitude of the ac voltage. In order to find the dc current-voltage curves, the damping parameter has to be calculated self-consistently by successive approximations and time integration of the perturbed sine-Gordon equation. The modified model gives better qualitative agreement with experimental results than the conventional perturbed sine-Gordon model.",
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author = "A.L. Pankratov and A.S. Sobolev and V.P. Koshelets and Jesper Mygind",
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Influence of surface losses and the self-pumping effect on current-voltage characteristics of a long Josephson junction. / Pankratov, A.L.; Sobolev, A.S.; Koshelets, V.P.; Mygind, Jesper.

In: Physical Review B Condensed Matter, Vol. 75, No. 18, 2007, p. 184516.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Influence of surface losses and the self-pumping effect on current-voltage characteristics of a long Josephson junction

AU - Pankratov, A.L.

AU - Sobolev, A.S.

AU - Koshelets, V.P.

AU - Mygind, Jesper

N1 - Copyright (2007) American Physical Society

PY - 2007

Y1 - 2007

N2 - We have numerically investigated the dynamics of a long linear Josephson tunnel junction with overlap geometry. Biased by a direct current (dc) and an applied dc magnetic field, the junction has important applications as tunable high frequency oscillator [flux-flow oscillator (FFO)] in the millimeter and submillimeter range. The study is performed in the frame of a modified sine-Gordon model, which includes surface losses, self-pumping effect, and in an empirical way the superconducting gap. The electromagnetic coupling to the environment is modeled by a simple resistor-capacitor load (RC load) placed at both ends of the FFO. In our model, the damping parameter depends both on the spatial coordinate and on the amplitude of the ac voltage. In order to find the dc current-voltage curves, the damping parameter has to be calculated self-consistently by successive approximations and time integration of the perturbed sine-Gordon equation. The modified model gives better qualitative agreement with experimental results than the conventional perturbed sine-Gordon model.

AB - We have numerically investigated the dynamics of a long linear Josephson tunnel junction with overlap geometry. Biased by a direct current (dc) and an applied dc magnetic field, the junction has important applications as tunable high frequency oscillator [flux-flow oscillator (FFO)] in the millimeter and submillimeter range. The study is performed in the frame of a modified sine-Gordon model, which includes surface losses, self-pumping effect, and in an empirical way the superconducting gap. The electromagnetic coupling to the environment is modeled by a simple resistor-capacitor load (RC load) placed at both ends of the FFO. In our model, the damping parameter depends both on the spatial coordinate and on the amplitude of the ac voltage. In order to find the dc current-voltage curves, the damping parameter has to be calculated self-consistently by successive approximations and time integration of the perturbed sine-Gordon equation. The modified model gives better qualitative agreement with experimental results than the conventional perturbed sine-Gordon model.

KW - FLUX-FLOW OSCILLATORS

KW - RADIATION LINEWIDTH

KW - PHASE-LOCKING

KW - MILLIMETER

KW - SUPERCONDUCTING INTEGRATED RECEIVER

KW - SUBMILLIMETER WAVE REGION

KW - MICROWAVE FIELDS

U2 - 10.1103/PhysRevB.75.184516

DO - 10.1103/PhysRevB.75.184516

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SP - 184516

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 1098-0121

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