Magnon dynamics in a skyrmion-textured domain wall of antiferromagnets

Lee, Seungho; Nakata, Kouki; Tchernyshyov, Oleg; Kim, Se Kwon

doi:10.1103/physrevb.107.184432

Phys. Rev. B

2023

DOI: 10.1103/physrevb.107.184432

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Magnon dynamics in a skyrmion-textured domain wall of antiferromagnets

Seungho Lee

Kouki Nakata

Oleg Tchernyshyov

et al.

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Cited by 8 publications

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Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Eto,

Nishimura,

Nitta

2024

J. High Energ. Phys.

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Based on the chiral perturbation theory at the leading order, we show a signal of the presence of a new phase in rapidly rotating QCD matter with two flavors, that is a domain-wall Skyrmion phase. Based on the chiral Lagrangian with a Wess-Zumino-Witten (WZW) term responsible for the chiral anomaly and chiral vortical effect, it was shown that the ground state is a chiral soliton lattice (CSL) consisting of a stack of η-solitons in a high density region under rapid rotation. In a large parameter region, a single η-soliton decays into a pair of non-Abelian solitons, each of which carries SU(2)V/U(1) ≃ ℂP1 ≃ S2 moduli as a consequence of the spontaneously broken vector symmetry SU(2)V. In such a non-Abelian CSL, we construct the effective world-volume theory of a single non-Abelian soliton to obtain a d = 2 + 1 dimensional ℂP1 model with a topological term originated from the WZW term. We show that when the chemical potential is larger than a critical value, a topological lump supported by the second homotopy group π2(S2) ≃ ℤ has negative energy and is spontaneously created, implying the domain-wall Skyrmion phase. This lump corresponds in the bulk to a Skyrmion supported by the third homotopy group π3[SU(2)] ≃ ℤ carrying a baryon number. This composite state is called a domain-wall Skyrmion, and is stable even in the absence of the Skyrme term. An analytic formula for the effective nucleon mass in this medium can be written only in terms of the meson’s constants as $$ 4\sqrt{2}\pi {f}_{\pi }{f}_{\eta }/{m}_{\pi}\sim 1.21 $$ 4 2 π f π f η / m π ~ 1.21 GeV with the decay constants fπ and fη of the pions and η meson, respectively, and the pion mass mπ. This is reasonably heavier than the nucleon mass in the QCD vacuum.

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Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Eto,

Nishimura,

Nitta

2024

J. High Energ. Phys.

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Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice

Eto,

Nishimura,

Nitta

2023

J. High Energ. Phys.

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QCD matter in strong magnetic field exhibits a rich phase structure. In the presence of an external magnetic field, the chiral Lagrangian for two flavors is accompanied by the Wess-Zumino-Witten (WZW) term containing an anomalous coupling of the neutral pion π0 to the magnetic field via the chiral anomaly. Due to this term, the ground state is inhomogeneous in the form of either chiral soliton lattice (CSL), an array of solitons in the direction of magnetic field, or domain-wall Skyrmion (DWSk) phase in which Skyrmions supported by π3[SU(2)] ≃ ℤ appear inside the solitons as topological lumps supported by π2(S2) ≃ ℤ in the effective worldvolume theory of the soliton. In this paper, we determine the phase boundary between the CSL and DWSk phases beyond the single-soliton approximation, within the leading order of chiral perturbation theory. To this end, we explore a domain-wall Skyrmion chain in multiple soliton configurations. First, we construct the effective theory of the CSL by the moduli approximation, and obtain the ℂP1 model or O(3) model, gauged by a background electromagnetic gauge field, with two kinds of topological terms coming from the WZW term: one is the topological lump charge in 2+1 dimensional worldvolume and the other is a topological term counting the soliton number. Topological lumps in the 2+1 dimensional worldvolume theory are superconducting rings and their sizes are constrained by the flux quantization condition. The negative energy condition of the lumps yields the phase boundary between the CSL and DWSk phases. We find that a large region inside the CSL is occupied by the DWSk phase, and that the CSL remains metastable in the DWSk phase in the vicinity of the phase boundary.

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Electronic structure along Sm2Co3Ge
Kennedy,
Kyrk,
Ophus
et al. 2024
Acta Materialia
1
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0
0
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Magnon dynamics in a skyrmion-textured domain wall of antiferromagnets

Cited by 8 publications

References 100 publications

Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice

Electronic structure along Sm2Co3Ge
Kennedy,
Kyrk,
Ophus
et al. 2024
Acta Materialia
1
0
0
0
View full text Add to dashboard Cite

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Magnon dynamics in a skyrmion-textured domain wall of antiferromagnets

Cited by 8 publications

References 100 publications

Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Domain-wall Skyrmion phase in a rapidly rotating QCD matter

Phase diagram of QCD matter with magnetic field: domain-wall Skyrmion chain in chiral soliton lattice

Electronic structure along Sm2Co3GeKennedy, Kyrk, Ophus et al. 2024Acta Materialia1000View full textAdd to dashboardCite

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Electronic structure along Sm2Co3Ge
Kennedy,
Kyrk,
Ophus
et al. 2024
Acta Materialia
1
0
0
0
View full text Add to dashboard Cite