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Volumn 77, Issue 13, 2008, Pages

Switchable collective pinning of flux quanta using magnetic vortex arrays: Experiments on square arrays of Co dots on thin superconducting films

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EID: 42449155909     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.134510     Document Type: Article
Times cited : (23)

References (51)
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    • Here, collective pinning refers to the matching effect. In this, the flux-lattice elastic and ordered pinning energies (which favor ordering of the flux-lattice) overcome the disordered pinning energy (Ref.). This results in an enhancement of the flux-lattice order and correlations and in a "synchronized" pinning of flux quanta. As opposed to that, local pinning means that the flux lattice locally adapt to the individual distributions of pinning sites, which frustrates flux-lattice ordering and correlations at the expense of flux-lattice elastic energy.
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    • It is not strictly zero because of the finite size of the film.
    • It is not strictly zero because of the finite size of the film.
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    • It is crucial that the space between dipoles is large enough to accommodate a flux quantum (size ∼2ξ, with ξ as the superconducting coherence length) (Ref.). This is the case since ξ (0.84 Tc) 100 nm and a=600-1000 nm.
    • It is crucial that the space between dipoles is large enough to accommodate a flux quantum (size ∼2ξ, with ξ as the superconducting coherence length) (Ref.). This is the case since ξ (0.84 Tc) 100 nm and a=600-1000 nm.
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    • For some of the arrays with larger a=1 μm there are not clear minima in R (H) but barely noticeable changes in slope can be seen around H1, which might indicate the occurrence of local matching with ordered "clusters" of dipoles disperse across the demagnetized array, similar to the local matching observed with some quasiperiodic arrays of pinning centers (Ref.).
    • For some of the arrays with larger a=1 μm there are not clear minima in R (H) but barely noticeable changes in slope can be seen around H1, which might indicate the occurrence of local matching with ordered "clusters" of dipoles disperse across the demagnetized array, similar to the local matching observed with some quasiperiodic arrays of pinning centers (Ref.).
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    • This is exact for an infinite array. For the finite arrays that are studied here, the difference between both is around ∼5% (∼0.2%) for the unit cells closest (furthest) from the array boundaries.
    • This is exact for an infinite array. For the finite arrays that are studied here, the difference between both is around ∼5% (∼0.2%) for the unit cells closest (furthest) from the array boundaries.


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