Potts model on infinitely ramified Sierpinski-gasket-type fractals and algebraic order at antiferromagnetic phases.
Potts model on infinitely ramified Sierpinski-gasket-type fractals and algebraic order at antiferromagnetic phases.
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DOI：
10.1103/physrevb.46.11642
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发表时间：
1992-11
影响因子：
3.7
通讯作者：
F. S. D. Menezes;A. N. Magalhães
中科院分区：
文献类型：
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作者：
F. S. D. Menezes;A. N. Magalhães
我们提出了无限分支分形族，我们称之为边为b的m-sheet Sierpinski衬垫[(mSG) b]，在其上，4态Potts模型可以通过实空间重整化群（RSRG）技术精确求解，其中在m>1的有限温度下存在相变。我们还提出了在多根分层格上定义（或近似）的反铁磁（AF）经典自旋模型的研究中，在细胞-细胞RSRG方案中适当选择细胞的准则，并将其应用于某些（mSG） b分形上的AF Potts模型
We propose families of infinitely ramified fractals, which we call the m-sheet Sierpinski gasket with side b [(mSG) b ], on which the 4-state Potts model can be exactly solvable through a real-space renormalization-group (RSRG) technique for which there are phase transitions at finite temperatures for m>1. We also propose, within a cell-to-cell RSRG scheme, a criterion for a suitable choice of cells in the study of antiferromagnetic (AF) classical spin models defined on (or approximated by) multirooted hierarchical lattices, and apply it for the AF Potts model on some (mSG) b fractals