Towards an Effective Theory of Skyrmion Crystals

Standard

Towards an Effective Theory of Skyrmion Crystals. / Timofeev, V. E.; Sorokin, A. O.; Aristov, D. N.

In: JETP Letters, Vol. 109, No. 3, 01.02.2019, p. 207-212.

Research output: Contribution to journal › Article › peer-review

Author

Timofeev, V. E. ; Sorokin, A. O. ; Aristov, D. N. / Towards an Effective Theory of Skyrmion Crystals. In: JETP Letters. 2019 ; Vol. 109, No. 3. pp. 207-212.

BibTeX

@article{425f777948a144809bcaff1145f7f36f,

title = "Towards an Effective Theory of Skyrmion Crystals",

abstract = "We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii–Moriya interaction and the magnetic field, using the stereographic projection method. In the absence of Dzyaloshinskii–Moriya interaction, D, and the field, B, the skyrmions do not interact and the exact multiskyrmion solution is a sum of individual projections. In certain range of B,D ≠ 0, skyrmions become stable and form a hexagonal lattice. The shape of one skyrmion on the plane is fully determined by D and B. We describe multiskyrmion configurations by simple sums of individual skyrmion projections, of the same shape and adjusted scale. This procedure reveals pairwise and triple interactions between skyrmions, and the energy of proposed hexagonal structure is found in a good agreement with previous studies. It allows an effective theory of skyrmion structures in terms of variables, referring to individual skyrmions, i.e., their position, size and phase, elliptic distortions etc.",

keywords = "STATES, DYNAMICS, LATTICE",

author = "Timofeev, {V. E.} and Sorokin, {A. O.} and Aristov, {D. N.}",

year = "2019",

month = feb,

day = "1",

doi = "10.1134/S0021364019030056",

language = "English",

volume = "109",

pages = "207--212",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "3",

}

RIS

TY - JOUR

T1 - Towards an Effective Theory of Skyrmion Crystals

AU - Timofeev, V. E.

AU - Sorokin, A. O.

AU - Aristov, D. N.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii–Moriya interaction and the magnetic field, using the stereographic projection method. In the absence of Dzyaloshinskii–Moriya interaction, D, and the field, B, the skyrmions do not interact and the exact multiskyrmion solution is a sum of individual projections. In certain range of B,D ≠ 0, skyrmions become stable and form a hexagonal lattice. The shape of one skyrmion on the plane is fully determined by D and B. We describe multiskyrmion configurations by simple sums of individual skyrmion projections, of the same shape and adjusted scale. This procedure reveals pairwise and triple interactions between skyrmions, and the energy of proposed hexagonal structure is found in a good agreement with previous studies. It allows an effective theory of skyrmion structures in terms of variables, referring to individual skyrmions, i.e., their position, size and phase, elliptic distortions etc.

AB - We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii–Moriya interaction and the magnetic field, using the stereographic projection method. In the absence of Dzyaloshinskii–Moriya interaction, D, and the field, B, the skyrmions do not interact and the exact multiskyrmion solution is a sum of individual projections. In certain range of B,D ≠ 0, skyrmions become stable and form a hexagonal lattice. The shape of one skyrmion on the plane is fully determined by D and B. We describe multiskyrmion configurations by simple sums of individual skyrmion projections, of the same shape and adjusted scale. This procedure reveals pairwise and triple interactions between skyrmions, and the energy of proposed hexagonal structure is found in a good agreement with previous studies. It allows an effective theory of skyrmion structures in terms of variables, referring to individual skyrmions, i.e., their position, size and phase, elliptic distortions etc.

KW - STATES

KW - DYNAMICS

KW - LATTICE

UR - http://www.scopus.com/inward/record.url?scp=85060991346&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/towards-effective-theory-skyrmion-crystals

U2 - 10.1134/S0021364019030056

DO - 10.1134/S0021364019030056

M3 - Article

AN - SCOPUS:85060991346

VL - 109

SP - 207

EP - 212

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 3

ER -

ID: 41129571