Phase-coherent heat circulator based on multi-terminal Josephson junctions
Sun-Yong Hwang, Francesco Giazotto, Bj\"orn Sothmann

TL;DR
This paper proposes a theoretical design for a phase-coherent thermal circulator using multiterminal Josephson junctions, enabling directional heat flow with high efficiency and robustness against disorder.
Contribution
It introduces a novel phase-coherent thermal circulator based on multiterminal Josephson junctions, demonstrating high efficiency and robustness in heat circulation.
Findings
Achieves high heat circulation efficiency over various parameters
Performance remains robust despite disorder
Provides realistic estimates for heat currents
Abstract
We theoretically propose a phase-coherent thermal circulator based on ballistic multiterminal Josephson junctions. The breaking of time-reversal symmetry by either a magnetic flux or a superconducting phase bias allows heat to flow preferentially in one direction from one terminal to the next while heat flow in the opposite direction is suppressed. We find that our device can achieve a high circulation efficiency over a wide range of parameters and that its performance is robust with respect to the presence of disorder. We provide estimates for the expected heat currents for realistic samples.
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