Calculation of multi-fractal dimensions in spin chains-Reference-Cited by-同舟云学术

Calculation of multi-fractal dimensions in spin chains

Published:2014-01-28 Issue:2007 Volume:372 Page:20120520
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Atas Y. Y.¹,Bogomolny E.¹

Affiliation:

1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), UMR 8626, CNRS, Université Paris-Sud, 15 rue Georges Clémenceau, 91405 Orsay, France

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2012.0520

Reference38 articles.

1. Zur Theorie des Ferromagnetismus

2. Zur Theorie der Metalle

3. Two soluble models of an antiferromagnetic chain

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