Simulating current voltage characteristics in Intrinsic Josephson junctions

M. HromnikYu. M. ShukrinovM Gaafar

BLTP, JINR, Dubna , Russia

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

Applications of Josephson JunctionsDefines a Voltage standard - metrologyQuantum computing single electron transistorsSQUIDS 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

Numerical Procedure 4th order Runge Kutta methodHeavy duty computation O(10^9) time stepsIntelligent data logging on the fly averaging ensures a manageable and meaningful outputIntelligent disk IO buffering (significant effect of performance)Looping technique to match experimental methodParallel computing options limited

Time dependencediv (0 E) = QQl=Q0 (Vl+1-Vl)

Q0 = 0 V0/rD2

Current Voltage characteristics

Longitudinal Plasma Wave

Results from CJJ+DC model

Thank you!