修饰自旋模型的直接代数映射变换
Direct algebraic mapping transformation for decorated spin models
摘要：
在这篇文章中，我们提出了一个一般的装饰自旋模型的转换。这种变换的优点是将修饰自旋模型直接映射到另一个有效自旋上，从而通过避免可能导致超越方程的不必要的迭代变换和参数的扩散来简化代数计算。本文详细讨论了任意配位数的修饰Ising自旋模型和配位数大于4（3）且具有（或不具有）自旋反转对称性的修饰Ising-Heisenberg自旋模型的直接映射变换。为了说明这种转换，我们给出了这种映射转换的几个例子，其中大多数还没有被探索。
英文摘要：
In this article we propose a general transformation for decorated spin models. The advantage of this transformation is to perform a direct mapping of a decorated spin model onto another effective spin thus simplifying algebraic computations by avoiding the proliferation of unnecessary iterative transformations and parameters that might otherwise lead to transcendental equations. Direct mapping transformation is discussed in detail for decorated Ising spin models as well as for decorated Ising-Heisenberg spin models, with arbitrary coordination number and with some constrained Hamiltonian's parameter for systems with coordination number larger than 4 (3) with (without) spin inversion symmetry respectively. In order to illustrate this transformation we give several examples of this mapping transformation, where most of them were not explored yet.
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