Literature DB >> 24344342

Calculation of multi-fractal dimensions in spin chains.

Y Y Atas1, E Bogomolny.   

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.

Entities:  

Keywords:  ground-state wave function; multi-fractality; spin chains

Year:  2013        PMID： 24344342      PMCID： PMC3866471          DOI： 10.1098/rsta.2012.0520

Source DB:  PubMed          Journal:  Philos Trans A Math Phys Eng Sci        ISSN： 1364-503X            Impact factor:   4.226


  9 in total

1.  From 1/f noise to multifractal cascades in heartbeat dynamics.

Authors:  Plamen Ch. Ivanov; Luis A. Nunes Amaral; Ary L. Goldberger; Shlomo Havlin; Michael G. Rosenblum; H. Eugene Stanley; Zbigniew R. Struzik
Journal:  Chaos       Date:  2001-09       Impact factor: 3.642

2.  Statistics of spectra of disordered systems near the metal-insulator transition.

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Journal:  Phys Rev B Condens Matter       Date:  1993-05-01

3.  Wavelets and multifractal formalism for singular signals: Application to turbulence data.

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Journal:  Phys Rev Lett       Date:  1991-12-16       Impact factor: 9.161

4.  Delocalization of vibrational modes caused by electric dipole interaction.

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Journal:  Phys Rev Lett       Date:  1990-01-29       Impact factor: 9.161

5.  Simple multifractal cascade model for fully developed turbulence.

Authors: 
Journal:  Phys Rev Lett       Date:  1987-09-28       Impact factor: 9.161

6.  Fractal measures and their singularities: The characterization of strange sets.

Authors: 
Journal:  Phys Rev A Gen Phys       Date:  1986-02

7.  Implications of direct-product ground states in the one-dimensional quantum XYZ and XY spin chains.

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Journal:  Phys Rev B Condens Matter       Date:  1985-11-01

8.  Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices.

Authors: 
Journal:  Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics       Date:  1996-10

9.  Multifractality of eigenfunctions in spin chains.

Authors:  Y Y Atas; E Bogomolny
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2012-08-03
  9 in total
  1 in total

1.  Complex patterns in wave functions: drums, graphs and disorder.

Authors:  Sven Gnutzmann; Uzy Smilansky
Journal:  Philos Trans A Math Phys Eng Sci       Date:  2013-12-16       Impact factor: 4.226
  1 in total

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