Ising dipoles on the triangular lattice
نویسندگان
چکیده
منابع مشابه
XXZ and Ising spins on the triangular kagome lattice
The recently fabricated two-dimensional magnetic materials Cu9X2 cpa 6 ·xH2O cpa=2-carboxypentonic acid and X=F,Cl,Br have copper sites which form a triangular kagome lattice TKL , formed by introducing small triangles “a-trimers” inside of each kagome triangle “b-trimer” . We show that in the limit where spins residing on b-trimers have Ising character, quantum fluctuations of XXZ spins residi...
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We define a new percolation model by generalising the FK representation of the Ising model, and show that on the triangular lattice and at high temperatures, the critical point in the new model corresponds to the Ising model. Since the new model can be viewed as Bernoulli percolation on a random graph, our result makes an explicit connection between Ising percolation and critical Bernoulli perc...
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A new class of two-dimensional magnetic materials Cu9X2 cpa 6 ·xH2O cpa=2-carboxypentonic acid; X =F,Cl,Br was recently fabricated in which Cu sites form a triangular kagome lattice TKL . As the simplest model of geometric frustration in such a system, we study the thermodynamics of Ising spins on the TKL using exact analytic method as well as Monte Carlo simulations. We present the free energy...
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Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we present the complete calculation leading to this exact result. The solution involves a coordinate Bethe ansatz with two kinds of particles. It is similar to that of the square-triangle random tiling model by Widom and Kalugin. The connection of the ...
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ژورنال
عنوان ژورنال: Journal of Applied Physics
سال: 2001
ISSN: 0021-8979,1089-7550
DOI: 10.1063/1.1358336