自旋链中的多重分形维数计算。
Calculation of multi-fractal dimensions in spin chains.
机构信息
Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), , UMR 8626, CNRS, Université Paris-Sud, 15 rue Georges Clémenceau, 91405 Orsay, France.
出版信息
Philos Trans A Math Phys Eng Sci. 2013 Dec 16;372(2007):20120520. doi: 10.1098/rsta.2012.0520. Print 2014 Jan 28.
Abstract
It was demonstrated in Atas & Bogomolny (2012 Phys. Rev. E 86, 021104) that the ground-state wave functions for a large variety of one-dimensional spin- models are multi-fractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of this statement.
摘要
阿塔斯和博戈莫尔尼（2012 年《物理评论 E 86，021104》）证明，在自然自旋-z 基下，大量一维自旋模型的基态波函数是多重分形的。本文给出了这一说法的分析推导和数值验证的细节。
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