Published January 1, 2010 | Version v1
Conference paper Open

Modulated Phase of an Ising System with Competing Interactions on a Cayley Tree of Arbitrary Order

  • 1. Harran Univ, Dept Math, Arts & Sci Fac, TR-63120 Sanliurfa, Turkey
  • 2. IIUM, Fac Sci, Dept Computat & Theoret Sci, Kuantan 25200, Malaysia
  • 3. Zirve Univ, Dept Math, Gaziantep, Turkey

Description

We study the phase diagram for Ising model on a Cayley tree of arbitrary order k with competing nearest-neighbor interactions J(1) and prolonged next-nearest-neighbor interactions J(p). To perform this study, an iterative scheme similar to that appearing in real space renormalization group frameworks is established; it recovers, as particular case, previous work by Vannimenus for k = 2.

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