Josephson vortex motion as a source for dissipation of superflow of e-h pairs in bilayers
D. V. Fil, S. I. Shevchenko

TL;DR
This paper investigates how Josephson vortex motion in bilayer excitonic superconductors causes energy dissipation during supercurrent transmission, especially in quantum Hall bilayers, due to vortex dynamics induced by current exceeding a critical threshold.
Contribution
It demonstrates that dissipative losses in bilayer excitonic superconductors are proportional to interlayer tunneling amplitude squared and are caused by Josephson vortex motion when current exceeds a critical value.
Findings
Dissipative losses are proportional to the square of the tunneling amplitude.
Vortex motion occurs when input current exceeds a critical value.
Dissipation arises from non-stationary vortex dynamics.
Abstract
IIt is shown that in a bilayer excitonic superconductor dissipative losses emerge under transmission of the current from the source to the load. These losses are proportional to the square of the interlayer tunneling amplitude and independent on the value of the input current. The case of quantum Hall bilayer is considered. The bilayer may work as a transmission line if the input current exceeds certain critical value. The input current higher than critical one induces Josephson vortices in the bilayer. The difference of electrochemical potentials is required to feed the load and it forces Josephson vortices to move. The state becomes non-stationary that leads to dissipation.
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