TY - JOUR

T1 - Nonlinear geometric scaling of coercivity in a three-dimensional nanoscale analog of spin ice

AU - Shishkin, I. S.

AU - Mistonov, A. A.

AU - Dubitskiy, I. S.

AU - Grigoryeva, N. A.

AU - Menzel, D.

AU - Grigoriev, S. V.

N1 - Funding Information: We are indebted to the Interdisciplinary Center for Nanotechnology at the Research Park of the St. Petersburg State University for the SEM investigations. The authors also thank the Saint-Petersburg State University for the research Grant No. 11.42.1311.2014. The work is supported by the German Academic Exchange Service (DAAD) in the framework of the Mikhail Lomonosov II and the G-RISC program and by the Russian Foundation for Basic Research (Project No. 14-22-01113). Publisher Copyright: © 2016 American Physical Society. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2016/8/23

Y1 - 2016/8/23

N2 - Magnetization hysteresis loops of a three-dimensional nanoscale analog of spin ice based on the nickel inverse opal-like structure (IOLS) have been studied at room temperature. The samples are produced by filling nickel into the voids of artificial opal-like films. The spin ice behavior is induced by tetrahedral elements within the IOLS, which have the same arrangement of magnetic moments as a spin ice. The thickness of the films vary from a two-dimensional, i.e., single-layered, antidot array to a three-dimensional, i.e., multilayered, structure. The coercive force, the saturation, and the irreversibility field have been measured in dependence of the thickness of the IOLS for in-plane and out-of-plane applied fields. The irreversibility and saturation fields change abruptly from the antidot array to the three-dimensional IOLS and remain constant upon further increase of the number of layers n. The coercive force Hc seems to increase logarithmically with increasing n as Hc=Hc0+αln(n+1). The logarithmic law implies the avalanchelike remagnetization of anisotropic structural elements connecting tetrahedral and cubic nodes in the IOLS. We conclude that the "ice rule" is the base of mechanism regulating this process.

AB - Magnetization hysteresis loops of a three-dimensional nanoscale analog of spin ice based on the nickel inverse opal-like structure (IOLS) have been studied at room temperature. The samples are produced by filling nickel into the voids of artificial opal-like films. The spin ice behavior is induced by tetrahedral elements within the IOLS, which have the same arrangement of magnetic moments as a spin ice. The thickness of the films vary from a two-dimensional, i.e., single-layered, antidot array to a three-dimensional, i.e., multilayered, structure. The coercive force, the saturation, and the irreversibility field have been measured in dependence of the thickness of the IOLS for in-plane and out-of-plane applied fields. The irreversibility and saturation fields change abruptly from the antidot array to the three-dimensional IOLS and remain constant upon further increase of the number of layers n. The coercive force Hc seems to increase logarithmically with increasing n as Hc=Hc0+αln(n+1). The logarithmic law implies the avalanchelike remagnetization of anisotropic structural elements connecting tetrahedral and cubic nodes in the IOLS. We conclude that the "ice rule" is the base of mechanism regulating this process.

UR - http://www.scopus.com/inward/record.url?scp=84986003686&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.94.064424

DO - 10.1103/PhysRevB.94.064424

M3 - Article

VL - 94

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 6

M1 - 064424

ER -