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

2. Layered Bi2Sr2CaCu2Oy(Bi2212) single crystals represent natural stacks of atomic scale intrinsic Josephson junctions.
X:50mV/div
Y:100mA/div
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 Procedure 4th 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

9. Results from CJJ+DC model

10. Thank you!