Phase Transitions in Positionally Disordered Josephson Junction Arrays in a Magnetic Field

1. Phase Transitions in Positionally Disordered Josephson Junction Arrays in a Magnetic Field 엄재곤(POSTECH) 김범준(아주대) 이성익(POSTECH)

2. Contents • Introduction • 2D Josephson junction arrays (JJA) with positional disorder • 2D random gauge XY model and 2D gauge glass model • Experiment of positionally disordered JJA • Resistively shunted junction (RSJ) simulation • Numerical result in strong disorder • Conclusion

3. Introduction

4. 2D Regular JJA

5. 2D JJA with Positional Disorder

6. 2D JJA with Positional Disorder in a Magnetic Field

7. 2D Random Gauge XY Model

8. 2D Random Gauge XY Model and 2D JJA with Positional Disorder

9. Phase Diagram of 2D Random Gauge XY Model and 2D Gauge Model

10. Previous Numerical Work of 2D Gauge Glass Model

11. Recent Experiment of Positionally Disordered JJA(1)

12. Recent Experiment of Positionally Disordered JJA(2)

13. Recent Experiment of Positionally Disordered JJA(3) : I-V Curves

14. Equations of RSJ Dynamics

15. Numerical Result in Strong Disorder

16. Scaling Form, Critical Temperature, and Critical Exponents

17. Conclusion

18. Appendix 1 : RSJ in 2D Regular JJA

19. Appendix 2 : RSJ in 2D Regular JJA with Fluctuating Twist Boundary Condition

20. Appendix 3 : Fast Fourier Transformation in RSJ Dynamics

21. Appendix 4: Boundary Condition with positional disorder in a Magnetic Field