| Issue |
Europhys. Lett.
Volume 67, Number 4, August 2004
|
|
|---|---|---|
| Page(s) | 620 - 626 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2003-10305-x | |
| Published online | 01 August 2004 | |
Spin Josephson effect in ferromagnet/ferromagnet tunnel junctions
Institut für Theoretische Physik, Freie Universität Berlin Arnimallee 14, D-14195 Berlin, Germany
Received:
16
December
2003
Accepted:
10
June
2004
We consider the tunnel current between two ferromagnetic metals
from a perspective similar to the one used in
superconductor/superconductor tunnel junctions. We use
fundamental arguments to derive a Josephson-like tunnel spin
current 
. Here the phases are associated with
the planar contribution to the magnetization, 
.
The crucial step in our analysis is the fact that the
z-component of the spin is canonically conjugate to the phase
of the planar contribution: ![$[\theta,S^{z}]=i$](/articles/epl/abs/2004/16/epl8313/epl8313_tex_eq3.png)
. This is the
counterpart to the commutation relation ![$[\varphi,N]=i$](/articles/epl/abs/2004/16/epl8313/epl8313_tex_eq4.png)
in
superconductors, where φ is the phase associated with the
superconducting order parameter and N is the Cooper pair number
operator. We briefly discuss the experimental consequences of our
theoretical analysis.
PACS: 72.25.-b – Spin polarized transport / 72.25.Mk – Spin transport through interfaces / 74.50.+r – Tunneling phenomena; point contacts, weak links, Josephson effects
© EDP Sciences, 2004
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