Cascaded superconducting junction refrigerators: optimization and performance limits
A. Kemppinen, A. Ronzani, E. Mykk\"anen, J. H\"atinen, J. S. Lehtinen,, and M. Prunnila

TL;DR
This paper explores the design and optimization of cascaded superconducting tunnel junction refrigerators, demonstrating their potential to efficiently cool quantum devices from above 1 K to below 100 mK.
Contribution
It introduces an approximate optimization method for cascaded superconducting refrigerators considering self-heating effects, enabling practical cooling solutions.
Findings
Highly transparent silicon-vanadium and silicon-aluminum junctions with low leakage
Optimized cascade design achieves cooling from above 1 K to below 100 mK
Method accounts for self-heating in cascade optimization
Abstract
We demonstrate highly transparent silicon-vanadium and silicon-aluminum tunnel junctions with relatively low sub-gap leakage current and discuss how a trade-off typically encountered between transparency and leakage affects their refrigeration performance. We theoretically investigate cascaded superconducting tunnel junction refrigerators with two or more refrigeration stages. In particular, we develop an approximate method that takes into account self-heating effects but still allows us to optimize the cascade a single stage at a time. We design a cascade consisting of energy-efficient refrigeration stages, which makes cooling of, e.g., quantum devices from above 1 K to below 100 mK a realistic experimental target.
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