Anomalous Surface Impedance due to Odd-frequency Cooper Pairs
Yasuhiro Asano, Alexander A. Golubov, Yakov V. Fominov, Yukio, Tanaka
TL;DR
This paper investigates how odd-frequency Cooper pairs affect the electromagnetic response of superconductor-normal metal structures, revealing an unusual surface impedance behavior due to these pairs.
Contribution
It introduces a theoretical analysis of the surface impedance in proximity structures influenced by odd-frequency pairs using the quasiclassical Green function method.
Findings
Surface impedance shows R>X at low temperatures, contrary to standard behavior.
Odd-frequency pairs cause negative Cooper pair density.
Anomalous electromagnetic response linked to odd-frequency pairing.
Abstract
We discuss dynamical response of odd-frequency Cooper pairs to electromagnetic field. By using the quasiclassical Green function method, we calculate the surface impedance (Z=R-iX) of a normal metal thin film which covers a superconductor. In contrast to the standard relation (i.e., R << X), the surface impedance in spin-triplet proximity structures shows anomalous behavior (i.e., R>X) at low temperatures. This unusual relation is a result of the penetration of odd-frequency pairs into the normal metal and reflects the negative Cooper pair density.
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