Skyrmion glass in a 2D Heisenberg ferromagnet with quenched disorder

A 2D Heisenberg ferromagnet with exchange J and random magnetic anisotropy of strength D R < J has been studied. Analytical theory for the dependence of the average size of a pinned skyrmion on the magnetic field H, and for stability of such skyrmions on a lattice, has been developed. It has been...

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Bibliographic Details
Published in:New journal of physics 2018-03, Vol.20 (3), p.33006
Main Authors: Chudnovsky, E M, Garanin, D A
Format: Article
Language:English
Subjects:
12.39.Dc
2D ferromagnet
64.60.De
75.50.Lk
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Ferromagnetism
Hypothetical particles
Lattices (mathematics)
Magnetic anisotropy
Particle theory
Physics
skyrmion glass, random systems, computer models
skyrmions
static disorder
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Summary:A 2D Heisenberg ferromagnet with exchange J and random magnetic anisotropy of strength D R < J has been studied. Analytical theory for the dependence of the average size of a pinned skyrmion on the magnetic field H, and for stability of such skyrmions on a lattice, has been developed. It has been complemented by numerical studies of 2D lattices containing up to 40 million spins. At low fields the average size of the skyrmion, λ, is determined by the average size of Imry-Ma domains. On increasing the field the skyrmions first shrink, with λ ∝ D R H , and then collapse at fields distributed around H c ∝ D R 4 3 . The concentration of the skyrmions goes down with the field as exp [ − 1 2 ( H H c ) 3 2 ] .
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/aab576