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Phys. Rev. B 71, 214520 (2005) [14 pages]

Spin and spin-wave dynamics in Josephson junctions

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Zohar Nussinov1,2, Alexander Shnirman3, Daniel P. Arovas4, Alexander V. Balatsky1, and Jian Xin Zhu1
1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
2Department of Physics, Washington University, St. Louis, Missouri 63160–4899, USA
3Institut für Theoretische Festkörperphysik, Universität Karlsruhe, D-76128 Karlsruhe, Germany
4Department of Physics, University of California—San Diego, La Jolla, California 92093, USA

Received 15 December 2004; revised 17 February 2005; published 22 June 2005

We extend the Keldysh formulation to quantum spin systems and derive exact equations of motion. This allows us to explore the dynamics of single spins and of ferromagnets when these are inserted between superconducting leads. Several new effects are reported. Chief amongst these are nutations of single S=1∕2 spins in Josephson junctions. These nutations are triggered by the superconducting pairing correlations in the leads. Similarly, we find that on rather universal grounds, magnets display unconventional spin wave dynamics when placed in Josephson junctions. These lead to modifications in the tunneling current.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.71.214520
DOI:
10.1103/PhysRevB.71.214520
PACS:
74.50.+r, 75.20.Hr, 73.40.Gk