Magnetotransport properties of CrO2 powder composites (Review article)

Beliayev, E. Yu.; Horielyi, V. A.; Kolesnichenko, Yu. A.

doi:10.1063/10.0004228

Cited by 6 publications

(2 citation statements)

References 80 publications

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“…describing the dispersion of the acoustic (A) spin-wave branch near the Γ point, are summarized in table 11. The experimental estimates for the averaged spin-wave stiffness in CrO 2 vary from 70 to 150 meV•Å 2 [125,126]. The Curie temperature is about 390 K [121].…”

Section: Cromentioning

confidence: 99%

Linear response theories for interatomic exchange interactions

Solovyev

2024

J. Phys.: Condens. Matter

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The linear response is a perturbation theory establishing the relationship between given physical variable and the external field inducing this variable. A well-known example of the linear response theory in magnetism is the susceptibility relating the magnetization with the magnetic field. In 1987, Liechtenstein \etal came up with the idea to formulate the problem of interatomic exchange interactions, which would describe the energy change caused by the infinitesimal rotations of spins, in terms of this susceptibility. The formulation appears to be very generic and, for isotropic systems, expresses the energy change in the form of the Heisenberg model, irrespectively on which microscopic mechanism stands behind the interaction parameters. Moreover, this approach establishes the relationship between the exchange interactions and the electronic structure obtained, for instance, in the first-principles calculations based on the density functional theory. The purpose of this review is to elaborate basic ideas of the linear response theories for the exchange interactions as well as more recent developments. The special attention is paid to the approximations underlying the original method of Liechtenstein \etal in comparison with its more recent and more rigorous extensions, the roles of the on-site Coulomb interactions and the ligand states, and calculations of antisymmetric Dzyaloshinskii-Moriya interactions, which can be performed alongside with the isotropic exchange, within one computational scheme. The abilities of the linear response theories as well as many theoretical nuances, which may arise in the analysis of interatomic exchange interactions, are illustrated on magnetic van der Walls materials Cr$X_3$ ($X$$=$ Cl, I), half-metallic ferromagnet CrO$_2$, ferromagnetic Weyl semimetal Co$_3$Sn$_2$S$_2$, and orthorhombic manganites $A$MnO$_3$ ($A$$=$ La, Ho), known for the peculiar interplay of the lattice distortion, spin, and orbital ordering.

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Section: Cromentioning

confidence: 99%

Linear response theories for interatomic exchange interactions

Solovyev

2024

J. Phys.: Condens. Matter

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show abstract

“…describing the dispersion of the acoustic (A) spin-wave branch near the Γ point, are summarized in Table 11. The experimental estimates for the averaged spin-wave stiffness in CrO 2 vary from 70 to 150 meV• Å2 [110,111]. The Curie temperature is about 390 K [105].…”

Section: Cromentioning

confidence: 99%

Linear response based theories for Dzyaloshinskii-Moriya interactions

Solovyev

2023

Phys. Rev. B

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The linear response is a perturbation theory establishing the relationship between given physical variable and the external field inducing this variable. A wellknown example of the linear response theory in magnetism is the susceptibility relating the magnetization with the magnetic field. In 1987, Liechtenstein et al came up with the idea to formulate the problem of interatomic exchange interactions, which would describe the energy change caused by the infinitesimal rotations of spins, in terms of this susceptibility. The formulation appears to be very generic and, for isotropic systems, expresses the energy change in the form of the Heisenberg model, irrespectively on which microscopic mechanism stands behind the interaction parameters. Moreover, this approach establishes the relationship between the exchange interactions and the electronic structure obtained, for instance, in the first-principles calculations based on the density functional theory. The purpose of this review is to elaborate basic ideas of the linear response theories for the exchange interactions as well as more resent developments. The special attention is paid to the approximations underlying the original method of Liechtenstein et al in comparison with its more recent and more rigorous extensions, the roles of the on-site Coulomb interactions and the ligand states, and calculations of antisymmetric Dzyaloshinskii-Moriya interactions, which can be performed alongside with the isotropic exchange, within one computational scheme. The abilities of the linear response theories as well as many theoretical nuances, which may arise in the analysis of interatomic exchange interactions, are illustrated on magnetic van der Walls materials CrX 3 (X= Cl, I), half-metallic ferromagnet CrO 2 , ferromagnetic Weyl semimetal Co 3 Sn 2 S 2 , and orthorhombic manganites AMnO 3 (A= La, Ho), known for the peculiar interplay of the lattice distortion, spin, and orbital ordering.

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Structural, magnetic properties, and electronic structure of Cr1−Mn O2 solid solution

Huang

Lin

et al. 2022

Ceramics International

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Magnetotransport properties of CrO2 powder composites (Review article)

Cited by 6 publications

References 80 publications

Linear response theories for interatomic exchange interactions

Linear response theories for interatomic exchange interactions

Linear response based theories for Dzyaloshinskii-Moriya interactions

Structural, magnetic properties, and electronic structure of Cr1−Mn O2 solid solution

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