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A numerical study of planar arrays of correlated spin islands

Author

Listed:
  • Ilaria Maccari

    (Dipartimento di Fisica, Sapienza Università di Roma)

  • Andrea Maiorano

    (Dipartimento di Fisica, Sapienza Università di Roma
    Instituto de Biocomputación y Física de Sistemas Complejos (BIFI))

  • Enzo Marinari

    (Dipartimento di Fisica, IPCF-CNR and INFN, Sapienza Università di Roma)

  • Juan Jesus Ruiz-Lorenzo

    (Instituto de Biocomputación y Física de Sistemas Complejos (BIFI)
    Departamento de Física and Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura)

Abstract

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.

Suggested Citation

  • Ilaria Maccari & Andrea Maiorano & Enzo Marinari & Juan Jesus Ruiz-Lorenzo, 2016. "A numerical study of planar arrays of correlated spin islands," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(5), pages 1-6, May.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:5:d:10.1140_epjb_e2016-70171-x
    DOI: 10.1140/epjb/e2016-70171-x
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    Statistical and Nonlinear Physics;

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