论文信息 - Zero temperature magnetization of a one-dimensional spin glass

Zero temperature magnetization of a one-dimensional spin glass

We calculate the zero temperature magnetizationm of a one-dimensional Ising spin glass is a weak magnetic fieldh. We show thatm∼Chx and give closed expressions for the constantC and the exponentx which both depend on the probability distribution of nearest-neighbor interactions.

E. Gardner | B. Derrida

[1] Entropy of a random-bond Ising chain , 1978 .

[2] A. Vilenkin. Random-bond Ising chain in a magnetic field at low temperatures , 1978 .

[3] I. Morgenstern,et al. Statistical mechanics of Ising chains in random magnetic fields , 1978 .

[4] H. H. Chen,et al. Low-temperature behavior of a one-dimensional random Ising model , 1982 .

[5] G. Grinstein,et al. Exact solution of a one-dimensional Ising model in a random magnetic field , 1983 .

[6] B Derrida,et al. Singular behaviour of certain infinite products of random 2 × 2 matrices , 1983 .

[7] W. Kinzel,et al. Static and Dynamic Critical Magnetic Fields in Ising Spin-Glasses , 1983 .

[8] Robijn Bruinsma,et al. One-dimensional Ising model in a random field , 1983 .

[9] A. Bray,et al. Lower critical dimension of Ising spin glasses: a numerical study , 1984 .

[10] J. M. Luck,et al. On the distribution of a random variable occurring in 1D disordered systems , 1985 .