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Josephson coupling in the dissipative state of a thermally hysteretic μ-SQUID

Sourav Biswas, Clemens B. Winkelmann, Hervé Courtois, Anjan K. Gupta

DOI 10.1103/PhysRevB.98.174514 · Physical Review B

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Abstract

Micron-sized superconducting interference devices (μ-SQUIDs) based on constrictions optimized for minimizing thermal runaway are shown to exhibit voltage oscillations with applied magnetic flux despite their hysteretic behavior. We explain this remarkable feature by a significant supercurrent contribution surviving deep into the resistive state due to efficient heat evacuation. A resistively shunted junction model, complemented by a thermal balance determining the amplitude of the critical current, describes well all experimental observations, including the flux modulation of the (dynamic) retrapping current and voltage, by introducing a single dimensionless parameter. Compared to the nonhysteretic regime, this regime extends the voltage readout mode in a given μ-SQUID to further lower temperatures. More importantly, the quantitative modeling of this regime incorporating both heating and phase dynamics paves the way for further optimization of μ-SQUIDs for nanomagnetism.

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