Critical behavior of the two-dimensional Ising model with random bonds

摘要: Abstract The critical behavior of the two-dimensional Ising model with random bonds is discussed. Topics reviewed include transfer matrix, axial anomall, bosonization, operator algebra, duality and renormalization group. These basic concepts are used to obtain an asymptotically exact solution this in a vicinity Curie point. It shown that critical-temperature dependence main thermodynamic quantities differs from corresponding pure by logarithmic factors. large-distance two-spin correlation at Tc found be identical homogeneous system. Phase transitions some disordered models closely related diluted ferromagnet also considered.