A numerical study of planar arrays of correlated spin islands

We analyze a system of interacting islands of XY spins on a triangular lattice. This model has been introduced a few years ago by Eley et al. [Nat. Phys. 8 , 59 (2012)] to account for the phenomenology in experiments on tunable arrays of proximity coupled long superconductor-normal metal-superconduc...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2016-05, Vol.89 (5), p.1-6, Article 127
Main Authors: Maccari, Ilaria, Maiorano, Andrea, Marinari, Enzo, Ruiz-Lorenzo, Juan Jesus
Format: Article
Language:English
Subjects:
Analysis
Complex Systems
Condensed Matter Physics
Correlation analysis
Crossovers
Fluid- and Aerodynamics
Ising model
Islands
Mathematical models
Phase coherence
Phase transitions
Phenomenology
Physics
Physics and Astronomy
Regular Article
Solid State Physics
Superconductor junctions
Superconductors
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Summary:We analyze a system of interacting islands of XY spins on a triangular lattice. This model has been introduced a few years ago by Eley et al. [Nat. Phys. 8 , 59 (2012)] to account for the phenomenology in experiments on tunable arrays of proximity coupled long superconductor-normal metal-superconductor junctions. The main features of the model are the separation of a local and a global interaction energy scale and the mesoscopic character of the spin islands. Upon lowering the temperature the model undergoes two crossovers corresponding to an increasing phase coherence on a single island and to the onset of global coherence across the array; the latter is a thermodynamical phase transition in the Ising universality class. The dependence of the second transition on the island edge-to-edge spacing is related to the proximity-effect of the coupling constant.
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/e2016-70171-x