کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976650 933143 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
±J Ising model on Dice lattices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
±J Ising model on Dice lattices
چکیده انگلیسی
We report the main results on ground state properties for a ±J Ising model defined on a Dice lattice. The sublattice method is adapted to this non-Archimedean system. By means of combinatorics and probability analysis, weight functions are obtained allowing to calculate properties such as frustrated plaquette distribution, frustration length, energy per bond, and fractional content of unfrustrated bonds; these analytic expressions are presented as functions of x (concentration of ferromagnetic bonds). On the other hand, these parameters are also calculated by an exact numerical algorithm applied to a large number of samples of increasing size N (number of spin sites) and values of x in the range [0.0,1.0]. Analytical and numerical results tend to agree, which makes these two techniques complementary to each other. Finally, a comparison is made to results previously reported for Archimedean lattices: it is found that Dice lattice presents a hybrid behavior being close to lattices with coordination 4 as far as energy is concerned but closer to lattices with coordination 3 when looking at topological parameters.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 385, Issue 2, 15 November 2007, Pages 551-557
نویسندگان
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