Relevant Aperiodic Modulation in the 2d Ising Model
统计力学
2009-10-22 v4 高能物理 - 理论
摘要
We consider the surface critical behaviour of a semi-infinite two-dimensional layered Ising model, where the couplings perpendicular to the surface follow the aperiodic Rudin-Shapiro sequence. The model has unusual critical properties: depending on the strength of the modulation, at the bulk critical point the surface magnetization is either discontinuous or vanishes with an essential singularity. The critical surface magnetization as well as the form of the essential singularity are calculated exactly.
引用
@article{arxiv.cond-mat/9406035,
title = {Relevant Aperiodic Modulation in the 2d Ising Model},
author = {F. Igloi and L. Turban},
journal= {arXiv preprint arXiv:cond-mat/9406035},
year = {2009}
}
备注
5 pages, LaTeX + EuroPhyS.sty + EuroMacr.tex, minor corrections