Chiral Properties of Structure and Magnetism in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Mn</mml:mi><mml:mrow><mml:mn>1</mml:mn><mml:mtext mathvariant="normal">−</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mi>Fe</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mi>Ge</mml:mi></mml:math>Compounds: When the Left and the Right are Fighting, Who Wins?

Grigoriev, S. V.; Potapova, N. M.; Siegfried, S.-A.; Dyadkin, Vadim; Moskvin, E. V.; Dmitriev, Vladimir; Menzel, D.; Dewhurst, C. D.; Chernyshov, Dmitry; Садыков, Р. А.; Фомичева, Л.Н.; Tsvyashchenko, A. V.

doi:10.1103/physrevlett.110.207201

Cited by 129 publications

(113 citation statements)

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“…The change of the helix chirality at x c was also experimentally observed via the change of the sign of the DM interaction. The DM interaction is positive for compounds with x < x c and negative for compounds with x > x c [13,18]. The abinitio calculations can reasonably reproduce the experimentally observed inversion of D in the Mn 1−x Fe x Ge close to the x c [22][23][24].…”

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confidence: 59%

“…Due to the fact that the magnetic structure of FeGe is based on DMI, one would expect the transition from RKKY spin helix to DMI spin helix with x. The x-dependence of the helix wave vector k shows that the helical structure with k ∼ 2 nm −1 in the range x ≤ 0.4 is replaced by the structure with small wave vector of the helix in the range x ≥ 0.5 meaning the value x c2 ≈ 0.45 as the critical concentration for the quantum phase transition [13].…”

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confidence: 99%

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Hidden quantum phase transition in Mn1−xFexGe evidenced by small-angle neutron scattering

et al. 2016

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The magnetic system of the Mn1−xFexGe solid solution is ordered in a spiral spin structure in the whole concentration range of x ∈ [0 ÷ 1]. The close inspection of the small-angle neutron scattering data reveals the quantum phase transition from the long-range ordered (LRO) to short range ordered (SRO) helical structure upon increase of Fe-concentration at x ∈ [0.25 ÷ 0.4]. The SRO of the helical structure is identified as a Lorentzian contribution, while LRO is associated with the Gaussian contribution into the scattering profile function. The scenario of the quantum phase transition with x as a driving parameter is similar to the thermal phase transition in pure MnGe. The quantum nature of the SRO is proved by the temperature independent correlation length of the helical structure at low and intermediate temperature ranges with remarkable decrease above certain temperature TQ. We suggest the x-dependent modification of the effective RudermanKittel-Kasuya-Yosida exchange interaction within the Heisenberg model of magnetism to explain the quantum critical regime in Mn1−xFexGe. The cubic B20-type compounds (MnSi, etc) are well known for the incommensurate magnetic structures with a very long period appeared due to noncentrosymmetric arrangement of magnetic atoms. It is widely recognized that the helix spin structure is built on the hierarchy of interactions: ferromagnetic exchange interaction, antisymmetric Dzyaloshinskii-Moryia interaction (DMI), and the anisotropic exchange interaction [1,2]. It is also known that the substitution of manganese by iron in the isostructural solid solutions Mn 1−x Fe x Si suppresses the helical spin state [3]. The neutron scattering studies [4,5] together with magnetic data and specific heat measurements [3,6,7] discovered a quantum critical point (QCP) corresponding to the suppression of the spin spiral phase with long-range order (LRO) in Mn 1−x Fe x Si. This QCP located at x c1 ≈ 0.11 − 0.12 is, however, hidden by a short-range order of the spin helix (SRO) [5][6][7] that agrees well with the theoretical models [8,9]. This SRO phase, sometimes referred as chiral spin liquid [8], which is destroyed at the second QCP x c2 ≈ 0.24. Thus it has been shown that Mn 1−x Fe x Si undergoes a sequence of the two quantum phase transitions [7].The real breakthrough in understanding of the experimental facts mentioned above has been done via scrutinizing the Hall effect in Mn 1−x Fe x Si [10]. It was found that the substitution of Mn with Fe results rather in the hole doping opposite to the natural expectations on the electron doping. The two groups of the charge carriers contribute to the Hall effect and the ratio between them changes the sign of the Hall effect constants at x c1 ≈ 0.11, what is definitely associated with the QCP in these compounds. Despite the fact that the solid solutions of Mn 1−x Fe x Si are often considered as itinerant magnets [8,9], recent magnetic resonance and magnetoresistance studies [11,12] favor the alternative explanation based on the Heisenberg localized magn...

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confidence: 59%

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confidence: 99%

Hidden quantum phase transition in Mn1−xFexGe evidenced by small-angle neutron scattering

et al. 2016

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“…Finally, it is worth to mention that there are different trends in the behavior of the DMI parameter in the Mn-rich limit when comparing theoretical results (both, present and previous) with experimental data [11]. As it was remarked by Gayles et al [12] the origin of this difference is not clear and the authors suggest certain mechanisms to be responsible for that.…”

Section: Resultsmentioning

confidence: 55%

“…Experimentally, it was found [9,11] that the size of Skyrmions in this material can be tuned by changing the Fe concentration, reaching a maximum at x ∼ 0.8 [11], i.e., at the concentration when the Skyrmion helicity changes sign without a change of the crystal chirality. This behavior was investigated theoretically [12,13] via first-principles calculations of the DMI and analyzing the details of the electronic structure that may have an influence on it.…”

Section: Introductionmentioning

confidence: 92%

Composition-dependent magnetic response properties of Mn1−xFexGe alloys

et al. 2018

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The composition-dependent behavior of the Dzyaloshinskii-Moriya interaction (DMI), the spinorbit torque (SOT), as well as anomalous and spin Hall conductivities of Mn1−xFexGe alloys have been investigated by first-principles calculations using the relativistic multiple scattering KorringaKohn-Rostoker (KKR) formalism. The Dxx component of the DMI exhibits a strong dependence on the Fe concentration, changing sign at x ≈ 0.85 in line with previous theoretical calculations as well as with experimental results demonstrating the change of spin helicity at x ≈ 0.8. A corresponding behavior with a sign change at x ≈ 0.5 is predicted also for the Fermi sea contribution to the SOT, as this is closely related to the DMI. In the case of anomalous and spin Hall effects it is shown that the calculated Fermi sea contributions are rather small and the composition-dependent behavior of these effects are determined mainly by the electronic states at the Fermi level. The spin-orbitinduced scattering mechanisms responsible for both these effects suggest a common origin of the minimum of the AHE and the sign change of the SHE conductivities.

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“…A skyrmion crystal state due to the DM interaction has been observed near room temperature 42) and the divergence of the skyrmion size has been pointed out in Mn 1−x Fe x Ge with x = 0.8, indicating the sign change of the DM interaction. 43) Neutron scattering experiments also suggest the sign change of the DM interaction in Mn 1−x Fe x Ge with x = 0.8 44) and Fe 1−x Co x Ge with x = 0.6. 45) In MnGe, a unique three-dimensional spin structure has been observed.…”

Section: Electronic Structure Of Fegementioning

confidence: 91%

First-Principles Evaluation of the Dzyaloshinskii–Moriya Interaction

2018

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We review recent developments of formulations to calculate the Dzyaloshinskii-Moriya (DM) interaction from first principles. In particular, we focus on three approaches. The first one evaluates the energy change due to the spin twisting by directly calculating the helical spin structure. The second one employs the spin gauge field technique to perform the derivative expansion with respect to the magnetic moment. This gives a clear picture that the DM interaction can be represented as the spin current in the equilibrium within the first order of the spin-orbit couplings. The third one is the perturbation expansion with respect to the exchange couplings and can be understood as the extension of the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction to the noncentrosymmetric spin-orbit systems. By calculating the DM interaction for the typical chiral ferromagnets Mn 1−x Fe x Ge and Fe 1−x Co x Ge, we discuss how these approaches work in actual systems.

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Chiral Properties of Structure and Magnetism inMn1−xFexGeCompounds: When the Left and the Right are Fighting, Who Wins?

Cited by 129 publications

References 22 publications

Hidden quantum phase transition in Mn1−xFexGe evidenced by small-angle neutron scattering

Hidden quantum phase transition in Mn1−xFexGe evidenced by small-angle neutron scattering

Composition-dependent magnetic response properties of Mn1−xFexGe alloys

First-Principles Evaluation of the Dzyaloshinskii–Moriya Interaction

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