Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Single-Length-Scaling Analysis for Antiferromagnetic Fractons in Dilute Heisenberg System RbMn0.4Mg0.6F3

Shinichi ITOH, Tsuneyoshi Nakayama, Ryoichi Kajimoto, Mark A.ADAMS

Published Jan 1, 2009• 0 citations
OpenAlex

Related papers

Single-Length-Scaling Analysis for Antiferromagnetic Fractons in Dilute Heisenberg System RbMn_ Mg_ F_3(Condensed matter: electronic structure and electrical, magnetic, and optical properties)

Shinichi Itoh, Tsuneyoshi Nakayama, Ryoichi Kajimoto +1 more

Journal of the Physical Society of Japan•Jan 15, 2009•0 citations

Single-Length-Scaling Analysis for Antiferromagnetic Fractons in Dilute Heisenberg System RbMn0.4Mg0.6F3

Shinichi Itoh, Tsuneyoshi Nakayama, Ryoichi Kajimoto +1 more

The dynamic structure factors S ( q ,ω) of an ideal percolating network, the three-dimensional (3 d ) dilute Heisenberg antiferromagnet RbMn 0.4 Mg 0.6 F 3 , obtained from high resoluton (Δ E = 17.5 µeV) inelastic neutron scattering (INS) experiments are analyzed for the first time within the framework of the single-length-scaling postulate (SLSP). The analysis confirms the validity of the SLSP and is also used to extract the values of the key exponents governing the spin dynamics, the dynamic exponent (\(z_{\text{AF}} = D_{\text{f}}/\tilde{d}_{\text{AF}}\)) being 2.5 ±0.1 and the spectral dimension \(\tilde{d}_{\text{AF}}\) for antiferromagnetic (AFM) fractons taking a value of unity.

Journal of the Physical Society of Japan•Dec 25, 2008•3 citations

Antiferromagnetic Fractons in Diluted Heisenberg Systems RbMn0.4Mg0.6F3 and Rb2Mn0.598Mg0.402F4

Shinichi Itoh, Tsuneyoshi Nakayama, Mark A. Adams

The dynamical structure factors, S ( q ,ω), for antiferromagnetic fractons in diluted three-dimensional (3D) and two-dimensional (2D) Heisenberg systems, RbMn 0.4 Mg 0.6 F 3 and Rb 2 Mn 0.598 Mg 0.402 F 4 , respectively, with a magnetic concentration close to the percolation concentration, were observed through high-resolution (Δ E = 17.5 µeV) inelastic neutron scattering experiments well below T N . The exponents describing the peak intensity ( A ( q ) ∝ q - y ) and the dispersion relation ( E ( q ) ∝ q z ) were determined to be y = 2.9 ±0.1 and z = 2.5 ±0.1 for the 3D system and y = 2.9 ±0.2 and z = 1.8 ±0.2 for the 2D system, respectively. In addition, the validity of the single-length-scaling postulate (SLSP) was confirmed for S ( q ,ω) by using the above values of y and z . We experimentally demonstrated, for the first time, that the spectral dimension, \(\tilde{d}_{\text{AF}} = 1\), is universal and independent of the embedding Euclidean dimensions of the systems.

Journal of the Physical Society of Japan•Sep 9, 2011•5 citations

Scaling violations in the antiferromagnetic Heisenberg model

Bernard B. Beard

Nuclear Physics B - Proceedings Supplements•Mar 1, 2002•0 citations

Renormalization group calculations for the dilute Heisenberg model

Mustansir Barma, Deepak Kumar, R. B. Pandey

Journal of Magnetism and Magnetic Materials•Jan 1, 1980•0 citations

Antiferromagnetic Fractons in Percolating Magnets

Shinichi Itoh, Tsuneyoshi Nakayama

We report the observations of the dynamical structure factors S(q,ω) for antifferomagnetic fractons in diluted three-dimensional (3d) and two-dimensional (2d) Heisenberg systems, RbMn0.4Mg0.6F3 and Rb2Mn0.598Mg0.402F4, with a magnetic concentration close to the percolation concentration, which were obtained by means of high-resolution (ΔE = 17.5 μeV) inelastic neutron scattering experiments. The peak intensity A(q) and the dispersion relation E(q) show the clear scaling laws following to A(q) ∝ q−y with y = 2.9 ± 0.1 and E(q) ∝ qz with z = 2.5 ± 0.1 for the 3d system, and y = 2.9 ± 0.2 and z = 1.8 ± 0.2 for the 2d system. The validity of the single-length-scaling postulate (SLSP) for S(q,ω) are demonstrated, for the first time. In addition, we show that the spectral dimension of antiferromagnetic fractons is unity independent of the embedding Euclidean dimension of the systems. These values are consistent with the theoretical predictions.

hamon•Jan 1, 2011•0 citations
The dynamic structure factors S ( q ,ω) of an ideal percolating network, the three-dimensional (3 d ) dilute Heisenberg antiferromagnet RbMn 0.4 Mg 0.6 F 3 , obtained from high resoluton (Δ E = 17.5 µeV) inelastic neutron scattering (INS) experiments are analyzed for the first time within the framework of the single-length-scaling postulate (SLSP). The analysis confirms the validity of the SLSP and is also used to extract the values of the key exponents governing the spin dynamics, the dynamic exponent (zAF=Df/d~AFz_{\text{AF}} = D_{\text{f}}/\tilde{d}_{\text{AF}}zAF​=Df​/d~AF​) being 2.5 ±0.1 and the spectral dimension d~AF\tilde{d}_{\text{AF}}d~AF​ for antiferromagnetic (AFM) fractons taking a value of unity.
The dynamical structure factors, S ( q ,ω), for antiferromagnetic fractons in diluted three-dimensional (3D) and two-dimensional (2D) Heisenberg systems, RbMn 0.4 Mg 0.6 F 3 and Rb 2 Mn 0.598 Mg 0.402 F 4 , respectively, with a magnetic concentration close to the percolation concentration, were observed through high-resolution (Δ E = 17.5 µeV) inelastic neutron scattering experiments well below T N . The exponents describing the peak intensity ( A ( q ) ∝ q - y ) and the dispersion relation ( E ( q ) ∝ q z ) were determined to be y = 2.9 ±0.1 and z = 2.5 ±0.1 for the 3D system and y = 2.9 ±0.2 and z = 1.8 ±0.2 for the 2D system, respectively. In addition, the validity of the single-length-scaling postulate (SLSP) was confirmed for S ( q ,ω) by using the above values of y and z . We experimentally demonstrated, for the first time, that the spectral dimension, d~AF=1\tilde{d}_{\text{AF}} = 1d~AF​=1, is universal and independent of the embedding Euclidean dimensions of the systems.
We report the observations of the dynamical structure factors S(q,ω) for antifferomagnetic fractons in diluted three-dimensional (3d) and two-dimensional (2d) Heisenberg systems, RbMn0.4Mg0.6F3 and Rb2Mn0.598Mg0.402F4, with a magnetic concentration close to the percolation concentration, which were obtained by means of high-resolution (ΔE = 17.5 μeV) inelastic neutron scattering experiments. The peak intensity A(q) and the dispersion relation E(q) show the clear scaling laws following to A(q) ∝ q−y with y = 2.9 ± 0.1 and E(q) ∝ qz with z = 2.5 ± 0.1 for the 3d system, and y = 2.9 ± 0.2 and z = 1.8 ± 0.2 for the 2d system. The validity of the single-length-scaling postulate (SLSP) for S(q,ω) are demonstrated, for the first time. In addition, we show that the spectral dimension of antiferromagnetic fractons is unity independent of the embedding Euclidean dimension of the systems. These values are consistent with the theoretical predictions.