Strange attractors in the Vannimenus model on an arbitrary order cayley tree

• Main Authors: Ganikhodjaev, Nasir, Akin, Hasan, Temir, Seyit, Uguz, Selman, Nawi, Ashraf Mohamed
• 格式: Article
• 語言: English
• 出版: Institute of Physics Publishing (UK) 2013
• 主題: QA Mathematics
• 在線閱讀: http://irep.iium.edu.my/30026/1/iCAST2012_Akin_etc.pdf; http://irep.iium.edu.my/30026/; http://iopscience.iop.org/1742-6596/435/1/012031

We consider the Vannimenus model on a Cayley tree of arbitrary order k with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions J2 and J3 in the presence of an external magnetic field h. In this paper we study the phase diagram of the model using an iterative scheme f...