Crossovers in the two-dimensional Ising spin glass with ferromagnetic next-nearest-neighbour interactions

By means of extensive computer simulations we analyse in detail the two- dimensionalJ Ising spin glass with ferromagnetic next-nearest-neighbour interactions. We found a crossover from ferromagnetic to 'spin glass'-like order both from numerical simulations and analytical arguments. We also present proof of a second crossover from the 'spin glass' behaviour to a paramagnetic phase for the largest volume studied.

[1]  Giorgio Parisi,et al.  Numerical Simulations of Spin Glass Systems , 1997 .

[2]  D. Stauffer,et al.  Annual Reviews of Computational Physics I , 1994 .

[3]  Dekker,et al.  Activated dynamics in a two-dimensional Ising spin glass: Rb2Cu1-xCoxF4. , 1989, Physical review. B, Condensed matter.

[4]  Young,et al.  Numerical studies of Ising spin glasses in two, three, and four dimensions. , 1988, Physical review. B, Condensed matter.

[5]  L. Santen,et al.  The critical exponents of the two-dimensional Ising spin glass revisited: Exact ground-state calculations and Monte Carlo simulations , 1996 .

[6]  N. Hatano,et al.  Critical behaviour of the two-dimensional EA model with a Gaussian bond distribution , 1992 .

[7]  K. Binder Random-field induced interface widths in Ising systems , 1983 .

[8]  Yoseph Imry,et al.  Random-Field Instability of the Ordered State of Continuous Symmetry , 1975 .

[9]  T. Nattermann Theory of the Random Field Ising Model , 1997 .

[10]  H. Rieger,et al.  Finite-size scaling analysis of exact ground states for ±J spin glass models in two dimensions , 1997 .

[11]  M. Schreckenberg,et al.  Aging and Domain Growth in the Two-Dimensional Ising Spin Glass Model , 1994, cond-mat/9404082.

[12]  J. Mydosh Spin glasses : an experimental introduction , 1993 .

[13]  T. Shirakura,et al.  Low Temperature Phase of Asymmetric Spin Glass Model in Two Dimensions , 1997, cond-mat/9707059.

[14]  Campbell,et al.  Two-dimensional ising spin glasses with nonzero ordering temperatures. , 1996, Physical review letters.

[15]  Dekker,et al.  Activated dynamics in the two-dimensional Ising spin-glass Rb2Cu1-xCoxF4. , 1988, Physical review letters.