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Title: Topological Order Generated by a Random Field in a 2D Exchange Model

Abstract

In this paper, we study a 2D exchange model with a weak static random field on lattices containing over $${10}^{8}$$ spins. Ferromagnetic correlations persist on the Imry-Ma scale inversely proportional to the random-field strength and decay exponentially at greater distances. We find that the average energy of the correlated area is close to the ground-state energy of a Skyrmion, while the topological charge of the area is close to ±1. The correlation function of the topological charge density changes sign at a distance determined by the ferromagnetic correlation length, while its Fourier transform exhibits a maximum. Finally, these findings suggest that static randomness transforms a 2D ferromagnetic state into a Skyrmion-anti-Skyrmion glass.

Authors:
 [1];  [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:
1461459
Alternate Identifier(s):
OSTI ID: 1458785; OSTI ID: 1593710
Grant/Contract Number:  
[FG02-93ER45487]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
[ Journal Volume: 121; Journal Issue: 1]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ferromagnetism; skyrmions; disordered systems; thin films; random field, topology, skyrmions

Citation Formats

Chudnovsky, E. M., and Garanin, D. A. Topological Order Generated by a Random Field in a 2D Exchange Model. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.121.017201.
Chudnovsky, E. M., & Garanin, D. A. Topological Order Generated by a Random Field in a 2D Exchange Model. United States. doi:10.1103/PhysRevLett.121.017201.
Chudnovsky, E. M., and Garanin, D. A. Tue . "Topological Order Generated by a Random Field in a 2D Exchange Model". United States. doi:10.1103/PhysRevLett.121.017201. https://www.osti.gov/servlets/purl/1461459.
@article{osti_1461459,
title = {Topological Order Generated by a Random Field in a 2D Exchange Model},
author = {Chudnovsky, E. M. and Garanin, D. A.},
abstractNote = {In this paper, we study a 2D exchange model with a weak static random field on lattices containing over ${10}^{8}$ spins. Ferromagnetic correlations persist on the Imry-Ma scale inversely proportional to the random-field strength and decay exponentially at greater distances. We find that the average energy of the correlated area is close to the ground-state energy of a Skyrmion, while the topological charge of the area is close to ±1. The correlation function of the topological charge density changes sign at a distance determined by the ferromagnetic correlation length, while its Fourier transform exhibits a maximum. Finally, these findings suggest that static randomness transforms a 2D ferromagnetic state into a Skyrmion-anti-Skyrmion glass.},
doi = {10.1103/PhysRevLett.121.017201},
journal = {Physical Review Letters},
number = [1],
volume = [121],
place = {United States},
year = {2018},
month = {7}
}

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