Nematic State in 
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Seo, Soonbeom; Wang, Xiaoyu; Thomas, S. M.; Rahn, M. C.; Carmo, D.; Ronning, F.; Bauer, E. D.; Reis, R. D. dos; Janoschek, M.; Thompson, J. D.; Fernandes, Rafael M.; Rosa, P. F. S.

doi:10.1103/physrevx.10.011035

Cited by 29 publications

(10 citation statements)

References 53 publications

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“…We note that a similar CDW modulation is expected to appear in the collinear 2Q bubble crystal without the xy spin components in Eq. ( 13), which might be realized in CeAuSb 2 [80][81][82] .…”

Section: Q Skxmentioning

confidence: 99%

Charge density waves in multiple-$Q$ spin states

Hayami,

Motome

2021

Preprint

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Coupling between spin and charge degrees of freedom in electrons is a source of various electronic and magnetic properties of solids. We theoretically study charge density waves induced by the spin-charge coupling in the presence of magnetic orderings in itinerant magnets. By performing a perturbative calculation in the weakcoupling limit of the Kondo lattice model, we derive a useful formula for the relationship between charge and spin density waves, which can be applied to any magnetic orderings, including noncollinear and noncoplanar ones composed of multiple spin density waves called multiple-Q magnetic orderings. We demonstrate the predictive power for single-Q and double-Q states including skyrmion and meron-antimeron crystals on a square lattice, in comparison with the numerical calculations. Moreover, we show that the charge density waves contain richer information than the spin density waves, and are indeed useful in distinguishing the spin textures with similar spin structure factors. We discuss the relation to bond modulation in terms of the kinetic bond energy and the vector spin chirality. We also perform numerical calculations beyond the perturbative regime and find that the charge density waves can be enhanced when the electron filling is commensurate. Furthermore, we investigate the effect of the spin-orbit coupling, which can lead to additional charge density waves owing to effective anisotropic magnetic interactions in momentum space. Our result will provide a way to identify complex magnetic orderings and their origins from the charge modulations.

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Section: Q Skxmentioning

confidence: 99%

Charge density waves in multiple-$Q$ spin states

Hayami,

Motome

2021

Preprint

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“…In many of the tetragonal systems where it has been observed, nematicity is often intertwined with a density-wave type of order that breaks both rotational and translational symmetries [28,29]. In the cuprates YBa 2 Cu 3 O 6+x [30] and La 2−x Sr x CuO 4 [31], and in BaNi 2 As 2 [32] (a relative of the iron-based superconductors), it is a charge density-wave whereas in the heavy-fermion CeAuSb 2 [33] and in the iron-arsenides family [34] (BaFe 2 As 2 , LaFeAsO, and NaFeAs), it is a spin density-wave. In all cases, the density-wave tends to be stripe-like, characterized by two degenerate ordering vectors Q 1 and Q 2 related by a fourfold rotation.…”

Section: Introductionmentioning

confidence: 99%

Random-strain-induced correlations in materials with intertwined nematic and magnetic orders

Meese,

Vojta,

Fernandes

2021

Preprint

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Electronic nematicity is rarely observed as an isolated instability of a correlated electron system. Instead, in iron pnictides and in certain cuprates and heavy-fermion materials, nematicity is intertwined with an underlying spin-stripe or charge-stripe state. As a result, random strain, ubiquitous in any real crystal, creates both random-field disorder for the nematic degrees of freedom and random-bond disorder for the spin or charge ones. Here, we put forward an Ashkin-Teller model with random Baxter fields to capture the dual role of random strain in nematic systems for which nematicity is a composite order arising from a stripe state. Using Monte Carlo to simulate this random Baxter-field model, we find not only the expected break-up of the system into nematic domains, but also the emergence of nontrivial disorder-promoted magnetic correlations. Such correlations enhance and tie up the fluctuations associated with the two degenerate magnetic stripe states from which nematicity arises, leaving characteristic signatures in the spatial profile of the magnetic domains, in the configurational space of the spin variables, and in the magnetic noise spectrum. We discuss possible experimental manifestations of these effects in iron-pnictide superconductors. Our work establishes the random Baxter-field model as a more complete alternative to the random-field Ising model to describe complex electronic nematic phenomena in the presence of disorder.

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“…These series of studies to investigate when and how the multiple-Q states appear are important to understand the microscopic origins of the multiple-Q states found in materials. Recently, unconventional multiple-Q states have been found in dand f -electron systems, such as the vortices in MnSc 2 S 4 [109,110], CeAuSb 2 [111,112], and Y 3 Co 8 Sn 4 [113], the skyrmions in SrFeO 3 [114][115][116], Co-Zn-Mn alloys [117], EuPtSi [118][119][120], Gd 2 PdSi 3 [121][122][123][124][125], Gd 3 Ru 4 Al 12 [126], and GdRu 2 Si 2 [127,128], and the hedgehogs in MnSi 1−x Ge x [129][130][131][132]. Furthermore, there remain several unidentified multiple-Q states distinguished from the above states, especially in centrosymmetric materials [115, 121-123, 126, 127].…”

Section: Introductionmentioning

confidence: 99%

Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy

Hayami,

Motome

2020

Preprint

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We theoretically investigate multiple-Q spin textures, which are composed of superpositions of spin density waves with different wave numbers, for an effective spin model of centrosymmetric itinerant magnets. Our focus is on the interplay between biquadratic interactions arising from the spin-charge coupling and magnetic anisotropy caused by the spin-orbit coupling. Taking into account two types of the magnetic anisotropy, single-ion anisotropy and bond-dependent anisotropy, we elucidate magnetic phase diagrams for an archetypal triangular-lattice system in the absence and presence of an external magnetic field. In the case of the single-ion anisotropy, we find a plethora of multiple-Q instabilities depending on the strength and the sign of the anisotropy (easy plane or easy axis), including a noncoplanar triple-Q state regarded as a skyrmion crystal with topological number of two, and coplanar and noncoplanar double-Q states. In an external magnetic field, we find that another noncoplanar triple-Q state, a skyrmion crystal with topological number of one, is stabilized by the inplane (out-of-plane) magnetic field under the easy-plane (easy-axis) anisotropy. A part of the results, especially for the relatively large biquadratic interaction, qualitatively reproduce those in the Kondo lattice model which explicitly includes itinerant electrons [S. Hayami and Y. Motome, Phys. Rev. B 99, 094420 ( 2019)]. We also examine the stability of the field-induced skyrmion crystal by rotating the field direction. As a biproduct, we show that a meron crystal with the skyrmion number of one half appears in the presence of the biquadratic interaction and the easy-axis anisotropy. Meanwhile, we find that the bond-dependent anisotropy also stabilizes both types of skyrmion crystals. We show that, however, for the skyrmion crystal with topological number of one, Bloch-and Néel-type skyrmion crystals are selectively realized depending on the sign of the bond-dependent anisotropy, since this anisotropy selects a particular set of the helicity and vorticity. Moreover, we find yet another multiple-Q states with nonzero spin scalar chirality, including a meron crystal and a double meron crystal with the skyrmion number of one. The systematic investigation of multiple-Q instabilities in triangular itinerant magnets will provide a reference to complex magnetic textures in centrosymmetric magnetic metals.

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Nematic State in CeAuSb2

Cited by 29 publications

References 53 publications

Charge density waves in multiple-$Q$ spin states

Charge density waves in multiple-$Q$ spin states

Random-strain-induced correlations in materials with intertwined nematic and magnetic orders

Noncoplanar multiple-$Q$ spin textures by itinerant frustration: Effects of single-ion anisotropy and bond-dependent anisotropy

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