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arXiv · 0902.1971

A Blume-Capel Ising Ferromagnet with Annealed Vacancies on a Hierarchical Lattice

Daniel P. Snowman
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Abstract

A dilute Ising ferromagnet is considered in this study using renormalization group techniques with a hierarchical lattice. A series of phase diagrams have been produced that probe the effects of varying the temperature and concentration of nonmagnetic impurities. Each phase diagram corresponds to a different strength for the internal coupling coefficients on our lattice. Phases have been interpreted and critical exponents calculated for the higher order transitions.

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Daniel P. Snowman. 2009-03-18. A Blume-Capel Ising Ferromagnet with Annealed Vacancies on a Hierarchical Lattice. https://arxiv.org/abs/0902.1971

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