Spin and Current Variations in Josephson Junctions
A. Shnirman, Z. Nussinov, Jian-Xin Zhu, A. V. Balatsky, and Yu., Makhlin

TL;DR
This paper investigates how a single spin embedded in a Josephson junction exhibits unusual dynamics due to superconducting correlations, affecting the current and spin precession.
Contribution
It derives an effective non-local in time spin action using Keldysh formalism, revealing novel spin dynamics in superconducting Josephson junctions.
Findings
Unconventional spin precession caused by superconducting correlations
Current modulation linked to spin dynamics
Effective spin action is non-local in time
Abstract
We study the dynamics of a single spin embedded in the tunneling barrier between two superconductors. As a consequence of pair correlations in the superconducting state, the spin displays rich and unusual dynamics. To properly describe the time evolution of the spin we derive the effective Keldysh action for the spin. The superconducting correlations lead to an effective spin action, which is non-local in time, leading to unconventional precession. We further illustrate how the current is modulated by this novel spin dynamics.
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