Two-Dimensional Ising Model with Competing Interactions as a Model for Interacting π-Rings

• Authors: A. O'Hare , F. Kusmartsev , K. Kugel
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

05.50.+q; 75.10.Hk; 74.81.Fa; 03.67.Lx

Discipline

• 03.67.Lx: Quantum computation architectures and implementations
• 75.10.Hk: Classical spin models
• 74.81.Fa: Josephson junction arrays and wire networks(see also 85.25.Cp Josephson devices)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)

• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 1
• Pages: 150-152

Dates

published

2009-01

Contributors

author

A. O'Hare

• Department of Physics, Loughborough University, Leicestershire, LE11 3TU, UK

author

F. Kusmartsev

• Department of Physics, Loughborough University, Leicestershire, LE11 3TU, UK

author

K. Kugel

• Department of Physics, Loughborough University, Leicestershire, LE11 3TU, UK
• Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Izhorskaya Str. 13, Moscow, 125412 Russia

References

• 1. J.R. Kirtley, C.C. Tsuei, Ariando, H.J.H. Smilde, H. Hilgenkamp, Phys. Rev. B 72, 214521 (2005)
• 2. A. O'Hare, F.V. Kusmartsev, K.I. Kugel, M.S. Laad, Phys. Rev. B 76, 064528 (2007)
• 3. W. Selke, Phys. Rep. 170, 212 (1988)
• 4. S.F. Edwards, P.W. Anderson, J. Phys. F 5, 965 (1975)
• 5. V. Zakosarenko, N. Bondarenko, S.H.W. van der Ploeg, A. Izmalkov, S. Linzen, J. Kunert, M. Grajcar, E. Il'ichev, H.-G. Meyer, Appl. Phys. Lett. 90, 022501 (2007)
• 6. Tien D. Kieu, quant-ph/0601151 (2006)
• 7. R. Martoňàk, G.E. Santoro, E. Tosatti, Phys. Rev. E 70, 057701 (2004)

Identifiers

DOI

10.12693/APhysPolA.115.150