Modeling the Transfer Function of Two-Dimensional SQUID and SQIF Arrays with Thermal Noise

M.A. Galí Labarias; K.-H. Müller; E.E. Mitchell

doi:10.1103/PhysRevApplied.17.064009

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Modeling the Transfer Function of Two-Dimensional SQUID and SQIF Arrays with Thermal Noise

M.A. Galí Labarias, K.-H. Müller, E.E. Mitchell

DOI 10.1103/PhysRevApplied.17.064009 · Physical Review Applied

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Abstract

We present a theoretical model for two-dimensional (2D) superconducting quantum interference device (SQUID) and superconducting quantum interference filter (SQIF) arrays with overdamped Josephson junctions for uniform bias-current injection at 77 K. Our simulations demonstrate the importance of including Johnson thermal noise and reveal that only the SQUID-loops self-inductance contributions are of importance. Our numerical results establish the validity of a scaling behavior between the voltages of one-dimensional (1D) and 2D SQUID arrays and show that the same scaling behavior applies to the maximum transfer functions. The maximum transfer function of a 2D SQUID array can be further optimized by applying the optimal bias current, which depends on the SQUID-loop self-inductance and the junction critical current. Our investigation further reveals that a scaling behavior exists between the maximum transfer function of a 2D SQUID array and that of a single dc SQUID. Finally, we investigate the voltage response of 1D and 2D SQIF arrays and illustrate the effects of adding spreads in the heights and widths of SQUID loops.