Temperature chaos in two-dimensional Ising spin glasses with binary couplings: a further case for universality

We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings by means of an exact computation of the partition functions for large systems. We study two temperature correlators derived from the total free energy and from the domain wall free energy; in the second case we detect a chaotic behaviour. We determine and discuss the chaos exponent and the fractal dimension of the domain walls.

[1]  H. G. Petersen,et al.  Error estimates on averages of correlated data , 1989 .

[2]  Fragility of the free-energy landscape of a directed polymer in random media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  O. Martin,et al.  Temperature chaos, rejuvenation, and memory in Migdal-Kadanoff spin glasses. , 2003, Physical review letters.

[4]  I. Kondor On chaos in spin glasses , 1989 .

[5]  Moore,et al.  Chaotic nature of the spin-glass phase. , 1987, Physical review letters.

[6]  Scalings of domain wall energies in two dimensional Ising spin glasses. , 2003, Physical review letters.

[7]  Lawrence K. Saul,et al.  The 2D±J Ising spin glass: exact partition functions in polynomial time , 1994 .

[8]  Alain Billoire,et al.  Overlap among states at different temperatures in the SK model , 2002 .

[9]  Jan Vondrák,et al.  Optimization via enumeration: a new algorithm for the Max Cut Problem , 2001, Math. Program..

[10]  E Marinari,et al.  Strong universality and algebraic scaling in two-dimensional Ising spin glasses. , 2006, Physical review letters.

[11]  M A Moore,et al.  Conformal invariance and stochastic Loewner evolution processes in two-dimensional Ising spin glasses. , 2006, Physical review letters.

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

[13]  J. Vondrák,et al.  New algorithm for the Ising problem: partition function for finite lattice graphs. , 2000, Physical review letters.

[14]  Critical thermodynamics of the two-dimensional +/-J Ising spin glass. , 2003, Physical review letters.

[15]  Fisher,et al.  Equilibrium behavior of the spin-glass ordered phase. , 1988, Physical review. B, Condensed matter.

[16]  Hilhorst,et al.  New critical-point exponent and new scaling laws for short-range Ising spin glasses. , 1992, Physical review letters.

[17]  A. Young,et al.  CHAOS IN A TWO-DIMENSIONAL ISING SPIN GLASS , 1997 .

[18]  A. Nihat Berker,et al.  Spin-Glass Behavior in Frustrated Ising Models with Chaotic Renormalization-Group Trajectories , 1982 .

[19]  Banavar,et al.  Chaos in spin glasses: A renormalization-group study. , 1987, Physical review. B, Condensed matter.

[20]  Lower Critical Dimension of Ising Spin Glasses , 2001, cond-mat/0107308.