Aperiodic magnetic models on the Wheatstone hierarchical lattice |
| |
| Institution: | 1. Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil;2. Laboratoire de Physique de la Matière Condensée, UMR CNRS 7643, Ecole Polytechnique, 91128 Palaiseau Cedex, France;3. International Center for Complex Systems and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal RN 59078-970, Brazil;1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China;2. China Academy of Aerospace Aerodynamics, Beijing, 100074, China |
| |
| Abstract: | Aperiodic Ising models on Wheatstone hierarchical lattices, induced by two-letter substitution sequences, are analyzed within a transfer matrix framework. The numerical iteration of the set of maps leads to values for the thermodynamical properties as functions of the temperature, from which the critical properties are evaluated. Relevant geometric fluctuations in the distribution of bonds induced by substitution rules play an essential role for the occurrence of changes in the critical behavior of the aperiodic model in comparison with its homogeneous counterpart. We have found both irrelevant and relevant fluctuations already for the first two members of this family. Results are important to the understanding of the behavior of aperiodic Ising model on planar lattices. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
