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

被引:0
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作者
Uguz, Selman [1 ]
Ganikhodjaev, Nasir [2 ]
Temir, Seyit [1 ]
Akin, Hasan [3 ]
机构
[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
关键词
Ising model; Cayley tree; phase diagram; next-nearest-neighbour; modulated phase; MODEL;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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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页码:2074 / +
页数:2
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