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Simulating current voltage characteristics in Intrinsic Josephson junctions M. Hromnik

This study investigates the current-voltage (I-V) characteristics of layered Bi2Sr2CaCu2Oy (Bi2212) single crystals, representing intrinsic Josephson junctions. Our results reveal a multi-branch I-V structure with significant hysteresis and evenly spaced voltage characteristics. The potential applications of Josephson junctions include defining voltage standards in metrology, enabling quantum computing through single electron transistors, and operating SQUIDs to detect magnetic fields with extreme sensitivity. Advanced numerical simulations were conducted using a 4th-order Runge-Kutta method, ensuring precision and reliability in findings.

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Simulating current voltage characteristics in Intrinsic Josephson junctions M. Hromnik

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  1. Simulating current voltage characteristics in Intrinsic Josephson junctions M. Hromnik Yu. M. Shukrinov M Gaafar BLTP, JINR, Dubna , Russia

  2. X:50mV/div Y:100mA/div Layered Bi2Sr2CaCu2Oy(Bi2212) single crystals represent natural stacks of atomic scale intrinsic Josephson junctions. I-V characteristics – Multi-branch structure – large hysteresis – Roughly equal spacing

  3. Applications of Josephson Junctions • Defines a Voltage standard - metrology • Quantum computing – single electron transistors • SQUIDS – superconducting quantum interface devices able to measure magnetic fields down to 10^-18 T • STJs – Superconducting tunnel junction detectors which make use of quantum electron tunneling through the JJ – high speed electrical circuits

  4. Numerical Procedure4th order Runge Kutta method • Heavy duty computation – O(10^9) time steps • Intelligent data logging – on the fly averaging ensures a manageable and meaningful output • Intelligent disk IO – buffering (significant effect of performance) • Looping technique to match experimental method • Parallel computing options limited

  5. Time dependence Ql=Q0 (Vl+1-Vl)Q0 = 0 V0/rD2 • div (0 E) = Q

  6. Current Voltage characteristics

  7. Longitudinal Plasma Wave

  8. Results from CJJ+DC model

  9. Thank you!

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