Fractal dimension in percolating Heisenberg antiferromagnets

S. Itoh; R. Kajimoto; M. A. Adams; M. J. Bull; K. Iwasa; N. Aso; H. Yoshizawa; T. Takeuchi

doi:10.1016/j.jmmm.2006.10.560

Fractal dimension in percolating Heisenberg antiferromagnets

S. Itoh, R. Kajimoto, M. A. Adams, M. J. Bull, K. Iwasa, N. Aso, H. Yoshizawa, T. Takeuchi

SCI - Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigated static and dynamical properties in the three-dimensional percolating Heisenberg antiferromagnets, RbMn_c Mg_{1 - c} F₃, with the magnetic concentration close to the percolation threshold, c_P = 0.312, around the superlattice point well below T_N. In neutron diffraction experiment, the wave number dependence of the elastic scattering component was well fitted to q^{- x}. Magnetic fractons were also studied using inelastic neutron scattering, and the observed fractons showed the dispersion relation of q^z. The determined exponents, x = 2.43 ± 0.05 and z = 2.5 ± 0.1, were in good agreement with the fractal dimension (D_f = 2.48).

Original language	English
Pages (from-to)	1549-1551
Number of pages	3
Journal	Journal of Magnetism and Magnetic Materials
Volume	310
Issue number	2 SUPPL. PART 2
DOIs	https://doi.org/10.1016/j.jmmm.2006.10.560
Publication status	Published - 2007 Mar

Keywords

Antiferromagnet
Fractal
Fracton
Neutron scattering
Percolation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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@article{e0373bbec1404483a3d121d05d331e1a,

title = "Fractal dimension in percolating Heisenberg antiferromagnets",

abstract = "We investigated static and dynamical properties in the three-dimensional percolating Heisenberg antiferromagnets, RbMnc Mg1 - c F3, with the magnetic concentration close to the percolation threshold, cP = 0.312, around the superlattice point well below TN. In neutron diffraction experiment, the wave number dependence of the elastic scattering component was well fitted to q- x. Magnetic fractons were also studied using inelastic neutron scattering, and the observed fractons showed the dispersion relation of qz. The determined exponents, x = 2.43 ± 0.05 and z = 2.5 ± 0.1, were in good agreement with the fractal dimension (Df = 2.48).",

keywords = "Antiferromagnet, Fractal, Fracton, Neutron scattering, Percolation",

author = "S. Itoh and R. Kajimoto and Adams, {M. A.} and Bull, {M. J.} and K. Iwasa and N. Aso and H. Yoshizawa and T. Takeuchi",

note = "Funding Information: The pulsed neutron scattering experiments were performed under the Japan-UK Collaboration Programme on Neutron Scattering. This work was supported by a Grant-in-Aid for Creative Scientific Research (No. 16GS0417) from the Ministry of Education, Culture, Sports, Science and Technology of Japan. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",

year = "2007",

month = mar,

doi = "10.1016/j.jmmm.2006.10.560",

language = "English",

volume = "310",

pages = "1549--1551",

journal = "Journal of Magnetism and Magnetic Materials",

issn = "0304-8853",

publisher = "Elsevier",

number = "2 SUPPL. PART 2",

}

TY - JOUR

T1 - Fractal dimension in percolating Heisenberg antiferromagnets

AU - Itoh, S.

AU - Kajimoto, R.

AU - Adams, M. A.

AU - Bull, M. J.

AU - Iwasa, K.

AU - Aso, N.

AU - Yoshizawa, H.

AU - Takeuchi, T.

N1 - Funding Information: The pulsed neutron scattering experiments were performed under the Japan-UK Collaboration Programme on Neutron Scattering. This work was supported by a Grant-in-Aid for Creative Scientific Research (No. 16GS0417) from the Ministry of Education, Culture, Sports, Science and Technology of Japan. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2007/3

Y1 - 2007/3

N2 - We investigated static and dynamical properties in the three-dimensional percolating Heisenberg antiferromagnets, RbMnc Mg1 - c F3, with the magnetic concentration close to the percolation threshold, cP = 0.312, around the superlattice point well below TN. In neutron diffraction experiment, the wave number dependence of the elastic scattering component was well fitted to q- x. Magnetic fractons were also studied using inelastic neutron scattering, and the observed fractons showed the dispersion relation of qz. The determined exponents, x = 2.43 ± 0.05 and z = 2.5 ± 0.1, were in good agreement with the fractal dimension (Df = 2.48).

AB - We investigated static and dynamical properties in the three-dimensional percolating Heisenberg antiferromagnets, RbMnc Mg1 - c F3, with the magnetic concentration close to the percolation threshold, cP = 0.312, around the superlattice point well below TN. In neutron diffraction experiment, the wave number dependence of the elastic scattering component was well fitted to q- x. Magnetic fractons were also studied using inelastic neutron scattering, and the observed fractons showed the dispersion relation of qz. The determined exponents, x = 2.43 ± 0.05 and z = 2.5 ± 0.1, were in good agreement with the fractal dimension (Df = 2.48).

KW - Antiferromagnet

KW - Fractal

KW - Fracton

KW - Neutron scattering

KW - Percolation

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DO - 10.1016/j.jmmm.2006.10.560

M3 - Article

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JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

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