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Title: Biskyrmion lattices in centrosymmetric magnetic films

Abstract

A theoretical framework is developed that permits construction of biskyrmion lattices observed in nonchiral magnetic films. Skyrmion and antiskyrmion configurations are discussed. We study films of finite thickness containing up to 1000 × 1000 × 100 spins. Hexatic biskyrmion lattices in a pure two-dimensional (2D) exchange model are naturally described by the Weierstrass ℘ and ζ elliptic functions. Starting with such a lattice as an initial state, we investigate how it evolves toward a minimum-energy state in a zero magnetic field in the presence of perpendicular magnetic anisotropy (PMA) and dipole-dipole interaction. Metastable biskyrmion lattices exist at low PMA. At higher PMA, we observe stable triangular lattices of biskyrmion bubbles containing Bloch lines, whose energies are lower than the energy of the uniformly magnetized state.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1]
  1. City Univ. of New York (CUNY), NY (United States)
Publication Date:
Research Org.:
City Univ. of New York (CUNY), NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1593705
Grant/Contract Number:  
FG02-93ER45487
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Research (Online)
Additional Journal Information:
Journal Name: Physical Review Research (Online); Journal Volume: 1; Journal Issue: 3; Journal ID: ISSN 2643-1564
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; biskyrmion lattices; topology; elliptic functions

Citation Formats

Capic, Daniel, Garanin, Dmitry A., and Chudnovsky, Eugene M. Biskyrmion lattices in centrosymmetric magnetic films. United States: N. p., 2019. Web. doi:10.1103/PhysRevResearch.1.033011.
Capic, Daniel, Garanin, Dmitry A., & Chudnovsky, Eugene M. Biskyrmion lattices in centrosymmetric magnetic films. United States. doi:10.1103/PhysRevResearch.1.033011.
Capic, Daniel, Garanin, Dmitry A., and Chudnovsky, Eugene M. Tue . "Biskyrmion lattices in centrosymmetric magnetic films". United States. doi:10.1103/PhysRevResearch.1.033011. https://www.osti.gov/servlets/purl/1593705.
@article{osti_1593705,
title = {Biskyrmion lattices in centrosymmetric magnetic films},
author = {Capic, Daniel and Garanin, Dmitry A. and Chudnovsky, Eugene M.},
abstractNote = {A theoretical framework is developed that permits construction of biskyrmion lattices observed in nonchiral magnetic films. Skyrmion and antiskyrmion configurations are discussed. We study films of finite thickness containing up to 1000 × 1000 × 100 spins. Hexatic biskyrmion lattices in a pure two-dimensional (2D) exchange model are naturally described by the Weierstrass ℘ and ζ elliptic functions. Starting with such a lattice as an initial state, we investigate how it evolves toward a minimum-energy state in a zero magnetic field in the presence of perpendicular magnetic anisotropy (PMA) and dipole-dipole interaction. Metastable biskyrmion lattices exist at low PMA. At higher PMA, we observe stable triangular lattices of biskyrmion bubbles containing Bloch lines, whose energies are lower than the energy of the uniformly magnetized state.},
doi = {10.1103/PhysRevResearch.1.033011},
journal = {Physical Review Research (Online)},
number = 3,
volume = 1,
place = {United States},
year = {2019},
month = {10}
}

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