Spin order and fluctuations in the 
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 and 
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 topological antiferromagnets: A 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>μ</mml:mi><mml:mi>SR</mml:mi></mml:math>
 study

Zhu, Xiaoyan; Zhang, H.; Gawryluk, D. J.; Zhen, Z. X.; Yu, B. C.; Ju, Sailong; Xie, Weiwei; Jiang, Dongmei; Cheng, Wenjuan; Xu, Yang; Ming-xian, Shi; Pomjakushina, E.; Zhan, Qingfeng; Shiroka, T.; Shang, T.

doi:10.1103/physrevb.105.014423

Cited by 38 publications

(7 citation statements)

References 52 publications

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“…The result clearly shows that the fourfold anisotropy is stronger for larger H. Thus, the shape of each skyrmion in real space looks like a square (rectangular) in the high(low)-field region. Finally, let us compare the present result with the experimental phase diagram in EuAl 4 [49][50][51][52][53], where the recent experiment suggested the importance of a spin-lattice coupling through a tetragonal-to-orthorhombic structural distortion [54,55]. Our present results indicate that the orthorhombic distortion, which makes the [100] and [010] directions inequivalent, gives a qualitatively similar result without distortion.…”

Section: Resultssupporting

confidence: 70%

“…Meanwhile, it was revealed that SkXs remain stable in the low-symmetric lattice structures [42][43][44][45][46][47] and nonsymmorphic lattice structures with the screw axis [48]. In addition, a recent experiment has shown that a rhombic SkX was observed in the centrosymmetric tetragonal magnet EuAl 4 [49][50][51][52][53], where the importance of a spin-lattice coupling through a tetragonal-to-orthorhombic structural distortion was indicated in realizing such a low-symmetric SkX [54,55]. Based on this observation, it is important to clarify the stability of the SkX in the low-symmetric lattice structures without a threefold or fourfold rotational axis.…”

Section: Introductionmentioning

confidence: 99%

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Orthorhombic distortion and rectangular skyrmion crystal in a centrosymmetric tetragonal host

Hayami

2022

J. Phys. Mater.

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We theoretically investigate the stability of a rectangular skyrmion crystal without fourfold rotational symmetry under an orthorhombic distortion in centrosymmetric tetragonal magnets. The results are obtained by numerically simulated annealing for an eﬀective spin model with competing interactions in momentum space and magnetic anisotropy. By constructing the low-temperature phase diagram while changing the interaction ratio arising from the orthorhombic distortion, we ﬁnd that the rectangular skyrmion crystal remains stable in an external magnetic ﬁeld against distortion. We show that the degree of fourfold rotational symmetry tends to recover when the magnetic ﬁeld is increased. The relevance to the skyrmion-hosting material EuAl4 is also discussed.

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Section: Resultssupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Orthorhombic distortion and rectangular skyrmion crystal in a centrosymmetric tetragonal host

Hayami

2022

J. Phys. Mater.

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“…Recently, a symmetry-protected non-trivial topology of the electronic band structure was proposed for BaAl 4 (Wang et al, 2021). In case of magnetic EuAl 4 , a chiral spin structure, like skyrmions reported in some divalent Eu compounds such as EuPtSi (Kaneko et al, 2019;Ōnuki et al, 2020), was proposed on the basis of the observation of the topological Hall resistivity and muon-spin rotation and relaxation (µSR) studies (Shang et al, 2021;Zhu et al, 2022). If such a nontrivial texture would be confirmed, EuAl 4 would represent a rare case of a compound where one could observe the coexistence of exotic magnetic order and a CDW.…”

Section: Introductionmentioning

confidence: 99%

Orthorhombic charge density wave on the tetragonal lattice of EuAl4

Ramakrishnan,

Kotla,

Rekis

et al. 2022

Preprint

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PREPRINT: IUCrJ A Journal of the International Union of Crystallography EuAl 4 possesses the BaAl 4 crystal structure type with tetragonal symmetry I4/mmm. It undergoes a charge-density-wave (CDW) transition at T CDW = 145 K and it features four consecutive antiferromagnetic phase transitions below 16 K. Here, we use single-crystal x-ray diffraction to determine incommensurately modulated crystal structure of EuAl 4 in its CDW state. The CDW is shown to be incommensurate with modulation wave vector q = (0, 0, 0.1781(3)) at 70 K. The symmetry of the incommensurately modulated crystal structure is orthorhombic with superspace group F mmm(00σ)s00, where F mmm is a subgroup of I4/mmm of index 2. Both the lattice and the atomic coordinates of the basic structure remain tetragonal. Symmetry breaking is entirely due to the modulation wave, where atoms Eu and Al1 have displacements exclusively along a, while the fourfold rotation would require equal displacement amplitudes along a and b. The calculated band structure of the basic structure and interatomic distances in the modulated crystal structure both indicate the aluminum atoms as location of the CDW. The temperature dependence of the specific heat reveals an anomaly at T CDW = 145 K of a magnitude similar to canonical CDW systems. The present discovery of orthorhombic symmetry for the CDW state of EuAl 4 leads to the suggestion of monoclinic instead of orthorhombic symmetry for the third AFM state.

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“…Recently, a symmetry-protected nontrivial topology of the electronic band structure was proposed for BaAl 4 (Wang et al, 2021). In the case of magnetic EuAl 4 , a chiral spin structure, like skyrmions reported in some divalent Eu compounds, such as EuPtSi (Kaneko et al, 2019;O " nuki et al, 2020), was proposed on the basis of the observation of the topological Hall resistivity and muon-spin rotation and relaxation (SR) studies (Shang et al, 2021;Zhu et al, 2022). If such a nontrivial texture was confirmed, EuAl 4 would represent a rare case of a compound where one could observe the co-existence of exotic magnetic order and a CDW.…”

Section: Introductionmentioning

confidence: 99%

Orthorhombic charge density wave on the tetragonal lattice of EuAl₄

Ramakrishnan

Kotla

Rekis

et al. 2022

Int Union Crystallogr J

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EuAl4 possesses the BaAl4 crystal structure type with tetragonal symmetry I4/mmm. It undergoes a charge density wave (CDW) transition at T CDW = 145 K and features four consecutive antiferromagnetic phase transitions below 16 K. Here we use single-crystal X-ray diffraction to determine the incommensurately modulated crystal structure of EuAl4 in its CDW state. The CDW is shown to be incommensurate with modulation wave vector q = (0,0,0.1781 (3)) at 70 K. The symmetry of the incommensurately modulated crystal structure is orthorhombic with superspace group Fmmm(00σ)s00, where Fmmm is a subgroup of I4/mmm of index 2. Both the lattice and the atomic coordinates of the basic structure remain tetragonal. Symmetry breaking is entirely due to the modulation wave, where atoms Eu and Al1 have displacements exclusively along a, while the fourfold rotation would require equal displacement amplitudes along a and b. The calculated band structure of the basic structure and interatomic distances in the modulated crystal structure both indicate the Al atoms as the location of the CDW. The temperature dependence of the specific heat reveals an anomaly at T CDW = 145 K of a magnitude similar to canonical CDW systems. The present discovery of orthorhombic symmetry for the CDW state of EuAl4 leads to the suggestion of monoclinic instead of orthorhombic symmetry for the third AFM state.

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Spin order and fluctuations in the EuAl4 and EuGa4 topological antiferromagnets: A μSR study

Cited by 38 publications

References 52 publications

Orthorhombic distortion and rectangular skyrmion crystal in a centrosymmetric tetragonal host

Orthorhombic distortion and rectangular skyrmion crystal in a centrosymmetric tetragonal host

Orthorhombic charge density wave on the tetragonal lattice of EuAl4

Orthorhombic charge density wave on the tetragonal lattice of EuAl₄

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