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

Chudnovsky, E. M.; Garanin, D. A.

doi:10.1103/PhysRevLett.121.017201

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

Journal Article · Tue Jul 03 00:00:00 EDT 2018 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.121.017201· OSTI ID:1461459

Chudnovsky, E. M. ^[1]; Garanin, D. A. ^[1]

City Univ. of New York (CUNY), NY (United States)

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.

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Research Organization:: City Univ. of New York (CUNY), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-93ER45487

OSTI ID:: 1461459

Alternate ID(s):: OSTI ID: 1458785; OSTI ID: 1593710

Journal Information:: Physical Review Letters, Vol. 121, Issue 1; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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Spin, Orbital, Weyl and Other Glasses in Topological Superfluids Volovik, G. E.; Rysti, J.; Mäkinen, J. T. Journal of Low Temperature Physics, Vol. 196, Issue 1-2 https://doi.org/10.1007/s10909-018-02132-z	journal	December 2018
Stabilty of biskyrmions in centrosymmetric magnetic films Capic, Daniel; Garanin, Dmitry A.; Chudnovsky, Eugene M. Physical Review B, Vol. 100, Issue 1 https://doi.org/10.1103/physrevb.100.014432	journal	July 2019
Biskyrmion lattices in centrosymmetric magnetic films Capic, Daniel; Garanin, Dmitry A.; Chudnovsky, Eugene M. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033011	journal	October 2019
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Title: Topological Order Generated by a Random Field in a 2D Exchange Model

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