Two-Dimensional Ising Model with Competing Interactions as a Model for Interacting π-Rings |
| A. O'Hare a, F.V. Kusmartsev a and K.I. Kugel a, b
a Department of Physics, Loughborough University, Leicestershire, LE11 3TU, UK b Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Izhorskaya Str. 13, Moscow, 125412 Russia |
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| We investigate the Ising model on a square lattice with antiferromagnetic exchange between nearest and next-nearest neighbors and show that at low temperatures stripe-like and droplet-like superstructures appear. We show that the competing interactions introduce a strong frustration that could plausibly describe the systems with dipole-dipole type interactions and pay particular attention to arrays of interacting Josephson π-rings. |
| DOI: 10.12693/APhysPolA.115.150 PACS numbers: 05.50.+q, 75.10.Hk, 74.81.Fa, 03.67.Lx |