Percolation fractal dimension in scattering line shapes of the random-field Ising model

F. Ye; M. Matsuda; S. Katano; H. Yoshizawa; D. P. Belanger; E. T. Seppälä; J. A. Fernandez-Baca; M. J. Alava

doi:10.1016/j.jmmm.2003.12.081

Percolation fractal dimension in scattering line shapes of the random-field Ising model

F. Ye, M. Matsuda, S. Katano, H. Yoshizawa, D. P. Belanger, E. T. Seppälä, J. A. Fernandez-Baca, M. J. Alava

Triple-Axis

Research output: Contribution to journal › Conference article › peer-review

10 Scopus citations

Abstract

The neutron scattering and simulation line shape data for percolation fractal dimension in random-field Ising models (RFIM) is discussed. Both two (2D) and three-dimensional (3D) RFIM have a percolation type of order. The structure factor is calculated from ground state of 2D RFIM with diluted antiferromagnet disorder, where the magnetic dilutiion is 1-x=0.30. The results show evidence for fractal structure from spanning clusters in the d=2 and 3 RFIM as realized in dilute antiferromagnets.

Original language	English
Pages (from-to)	1298-1299
Number of pages	2
Journal	Journal of Magnetism and Magnetic Materials
Volume	272-276
DOIs	https://doi.org/10.1016/j.jmmm.2003.12.081
State	Published - May 2004
Event	Proceedings of the International Conference on Magnetism - Rome, Italy Duration: Jul 27 2003 → Aug 1 2003

Funding

Work was partly supported by DOE Grant No. DE-FG03-87ER45324, partly performed under the auspices of the DOE at the UC/LLNL, contract: W-7405-Eng-48, partly supported by a Grant-in-Aid for Scientific Research from MONKASHO, Japan, by the US-Japan Cooperative Neutron Scattering Program, and partly sponsored by the US DOE under contract DE-AC05-00OR22725 with ORNL, managed by UT-Battelle, LLC.

Funders	Funder number
MONKASHO
Lawrence Livermore National Laboratory	W-7405-Eng-48
U.S. Department of Energy	DE-AC05-00OR22725, DE-FG03-87ER45324
Oak Ridge National Laboratory
UT-Battelle

Keywords

Neutron scattering
Percolation
Random-field Ising model

Access to Document

10.1016/j.jmmm.2003.12.081

Cite this

@article{6a9005ac932c472bafc6ad7bc03b49d0,

title = "Percolation fractal dimension in scattering line shapes of the random-field Ising model",

abstract = "The neutron scattering and simulation line shape data for percolation fractal dimension in random-field Ising models (RFIM) is discussed. Both two (2D) and three-dimensional (3D) RFIM have a percolation type of order. The structure factor is calculated from ground state of 2D RFIM with diluted antiferromagnet disorder, where the magnetic dilutiion is 1-x=0.30. The results show evidence for fractal structure from spanning clusters in the d=2 and 3 RFIM as realized in dilute antiferromagnets.",

keywords = "Neutron scattering, Percolation, Random-field Ising model",

author = "F. Ye and M. Matsuda and S. Katano and H. Yoshizawa and Belanger, {D. P.} and Sepp{\"a}l{\"a}, {E. T.} and Fernandez-Baca, {J. A.} and Alava, {M. J.}",

year = "2004",

month = may,

doi = "10.1016/j.jmmm.2003.12.081",

language = "English",

volume = "272-276",

pages = "1298--1299",

journal = "Journal of Magnetism and Magnetic Materials",

issn = "0304-8853",

publisher = "Elsevier",

note = "Proceedings of the International Conference on Magnetism ; Conference date: 27-07-2003 Through 01-08-2003",

}

TY - JOUR

T1 - Percolation fractal dimension in scattering line shapes of the random-field Ising model

AU - Ye, F.

AU - Matsuda, M.

AU - Katano, S.

AU - Yoshizawa, H.

AU - Belanger, D. P.

AU - Seppälä, E. T.

AU - Fernandez-Baca, J. A.

AU - Alava, M. J.

PY - 2004/5

Y1 - 2004/5

N2 - The neutron scattering and simulation line shape data for percolation fractal dimension in random-field Ising models (RFIM) is discussed. Both two (2D) and three-dimensional (3D) RFIM have a percolation type of order. The structure factor is calculated from ground state of 2D RFIM with diluted antiferromagnet disorder, where the magnetic dilutiion is 1-x=0.30. The results show evidence for fractal structure from spanning clusters in the d=2 and 3 RFIM as realized in dilute antiferromagnets.

AB - The neutron scattering and simulation line shape data for percolation fractal dimension in random-field Ising models (RFIM) is discussed. Both two (2D) and three-dimensional (3D) RFIM have a percolation type of order. The structure factor is calculated from ground state of 2D RFIM with diluted antiferromagnet disorder, where the magnetic dilutiion is 1-x=0.30. The results show evidence for fractal structure from spanning clusters in the d=2 and 3 RFIM as realized in dilute antiferromagnets.

KW - Neutron scattering

KW - Percolation

KW - Random-field Ising model

UR - http://www.scopus.com/inward/record.url?scp=2642559721&partnerID=8YFLogxK

U2 - 10.1016/j.jmmm.2003.12.081

DO - 10.1016/j.jmmm.2003.12.081

M3 - Conference article

AN - SCOPUS:2642559721

SN - 0304-8853

VL - 272-276

SP - 1298

EP - 1299

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

T2 - Proceedings of the International Conference on Magnetism

Y2 - 27 July 2003 through 1 August 2003

ER -

Percolation fractal dimension in scattering line shapes of the random-field Ising model

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this