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Comparative Study of Diffusion Current Effects on Capacitively Coupled Josephson Junctions

This project examines the effects of diffusion current (DC) on capacitively coupled Josephson junctions (CCJJ) and details a comparative analysis between CCJJ and CCJJ+DC. Conducted by student Mostafa El Demery under the supervision of Dr. Yuri Shukrinov at the Bogoliubov Laboratory of Theoretical Physics in Egypt, the study explores historical advancements in the field of superconductivity, including the Josephson effect and various types of Josephson junctions. It provides insights into phase-difference dynamics and the implications of additional current on junction behavior.

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Comparative Study of Diffusion Current Effects on Capacitively Coupled Josephson Junctions

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  1. EFFECT OF DIFFUSION CURRENT (DC) ON CAPACTIVELY COUPLED JOSEPHSON JUNCTIONS (CCJJ)COMPARATIVE STUDY BETWEEN CCJJ AND CCJJ+DC Practice of students from ARAB REPUBLIC OF EGYPT 2009

  2. PROJECT • TITLE: Comparative Study between CCJJ and CCJJ+DC • STUDENTS: Mostafa El Demery • SUPERVISOR: DR. Yuri Shukrinov • LAB: Bogoliubov Laboratory of Theoretical Physics (BLTP)

  3. LAYOUT • Some History • Josephson Effect • Josephson Junctions • Capacitively Coupled Josephson Junctions • Our Investigation

  4. Some History • 1911: Onnes discovered Superconductivity. • 1933: Meissner and Ochsenfeld discovered the perfect diamagnetism. • 1950: London, Ginsburg and Landau formulated a phenomenological theories of Superconductivity. • 1957: Bardeen, Cooper and Schrieffer formulated a microscopic theories of Superconductivity.

  5. Some History • 1962: Josephson effect and Josephson Junctions. • 1963: Anderson experimentally verified Supercurrent to be existed.

  6. Josephson Effect • Novel phenomena should arise in a weak electrical contact between two superconductors (Josephson Junction). • Supercurrent component in the net current flowing through the junction is responsible for these phenomena. • Supercurrent is a function not of the voltage V across the junction but of the phase-difference Josephson Phase.

  7. Josephson Effect Josephson Junction

  8. Josephson JunctionsTypes S I S Types • Tunnel Junctions (SIS Sandwich) • Proposed in 1960 by Giaever. • Superconductor (S)-insulator (I)-superconductor (S). • Electrons have a small but nonvanishing probability of penetrating from one electrode to the other one via quantum tunneling through the energy barrier by the insulator. • Electron penetration results in a nonvanishing normal conductance Gn when the electrodes are in • Normal State • Superconducting State Tunnel Junction

  9. Josephson JunctionsTypes (cont.) S S Types • Weak Link (SNS Sandwich) N Weak Link

  10. Capacitively Coupled Josephson Junctions • System of superconducting layers with indices l and order parameter and time-dependent phase • Gauge invariant phase difference

  11. Capacitively Coupled Josephson Junctions • Generalized Josephson Relation GJR • α is the coupling constant between junctions.

  12. Comparative Study between CCJJ and CCJJ+DC CCJJ CCJJ+DC Total current flowing through junctions is • Total current flowing through junctions is System of dynamical equations for the phase difference

  13. Comparative Study between CCJJ and CCJJ+DC (Cont.) CCJJ CCJJ+DC Without Noise Periodic BCs With Noise

  14. Comparative Study between CCJJ and CCJJ+DC (Cont.) CCJJ CCJJ+DC Without Noise Non Periodic BCs With Noise

  15. Comparative Study between CCJJ and CCJJ+DC (Cont.) CCJJ CCJJ+DC

  16. Interjunction coupling between IJJ CCJJ

  17. Thank you for attention

  18. Acknowledgement

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