Thermodynamics of an anisotropic boundary of a two‐dimensional Ising model

摘要: We consider a semi‐infinite two‐dimensional Ising model with its spins on the boundary row having different interaction energy E′1 from ferromagnetic bulk. find that specific heat has two divergent terms: one of which diverges linearly at bulk critical temperature Tc, and other, logaritmically. The term is independent E′1, coefficient logaritmically decreasing function E′1. There latent identical to McCoy Wu's result. spins, can be either or antiferromagnetic, are aligned for lower than Tc. spontaneous magnetization approaches zero in form A(E′1)(1−T/Tc)1/2, field magnetic susceptibility Tc −B (E′1)ln|1−T/Tc|, where A(E′1) B(E′) increasing functions