Mean-field study of correlation-induced antisymmetric spin-orbit coupling in a two-orbital honeycomb model

Hayami, Satoru; Kusunose, Hiroaki; Motome, Yukitoshi

doi:10.1016/j.physb.2017.08.063

Cited by 4 publications

(6 citation statements)

References 32 publications

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“…The axial 2nd-rank magneto-electric (current) tensor α is obtained by using Âi = Mi and Bj = Ĵj in Eq. (43). As Mi is time-reversal odd and spatial inversion even, the dissipative part α(J) becomes nonzero in the absence of only the spatial inversion symmetry.…”

Section: Magneto-electric(current) Tensormentioning

confidence: 98%

“…namely, we adopt Âi = Bi = Ĵi in the general formula (43). As the electric current operator Ĵi is both timereversal and spatial-inversion odd, the polar electric conductivity tensor σ(E) (electric-field driven non-dissipative part) becomes nonzero only when the time-reversal symmetry is broken, while there is no symmetry restriction for the current driven dissipative part σ(J) .…”

Section: Electric Conductivity Tensormentioning

confidence: 99%

“…where Âij = Ĵs ij and Bj = Ĵj in the general formula in Eq. (43). Note that there are 9 independent components for the spin current tensor, as it is characterized by the product of rank-1 tensors, Ĵi and σj (σ is the spin degree of freedom).…”

Section: Spin Conductivity Tensormentioning

confidence: 99%

“…On the other hand, such a multipole concept can be applied to a cluster consisting of several atomic sites, which is so-called a cluster multipole [33][34][35][36][37][38][39][40][41][42][43][44] . The complex electric and magnetic orderings in cluster are regarded as the ferroic arrangement of higher-order cluster multipoles from the symmetry aspect.…”

Section: Introductionmentioning

confidence: 99%

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Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

et al. 2018

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Four types of atomic-scale multipoles, electric, magnetic, magnetic toroidal, and electric toroidal multipoles, give a complete set to describe arbitrary degrees of freedom for coupled charge, spin, and orbital of electrons. We here present a systematic classification of these multipole degrees of freedom towards the application in condensed matter physics. Starting from the multipole description under the rotation group in real space, we generalize the concept of multipoles in momentum space with the spin degree of freedom. We show how multipoles affect the electronic band structures and linear responses, such as the magneto-electric effect, magneto-current (magneto-gyrotropic) effect, spin conductivity, Piezo-electric effect, and so on. Moreover, we exhibit a complete table to represent the active multipoles under 32 crystallographic point groups. Our comprehensive and systematic analyses will give a foundation to identify enigmatic electronic order parameters and a guide to evaluate peculiar cross-correlated phenomena in condensed matter physics from microscopic point of view.

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Section: Magneto-electric(current) Tensormentioning

confidence: 98%

Section: Electric Conductivity Tensormentioning

confidence: 99%

Section: Spin Conductivity Tensormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

et al. 2018

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“…The staggered electronic orders are accompanied by the oddparity multipoles, such as magnetic quadrupole 27 , electric octupole 28 , and magnetic toroidal dipoles 10,11,22,[29][30][31][32][33][34] . A mi-croscopic theory has recently been elucidated by the authors through the systematic analysis of staggered charge, spin, and orbital orderings in a minimal model on a honeycomb structure 26,31,35 . The authors constructed a classification of the staggered orderings and associated odd-parity multipoles, and clarified how the ASOC is induced in each case.…”

Section: Introductionmentioning

confidence: 99%

Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: Implication for the 5d transition metal oxides AOsO4(A=
Hayami
¹
,
Kusunose
²
,
Motome
³

2018
Phys. Rev. B
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41
0
12
0
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We report our theoretical predictions on the linear magnetoelectric (ME) effects originating from odd-parity multipoles associated with spontaneous spin and orbital ordering on a diamond structure. We derive a twoorbital model for d electrons in eg orbitals by including the effective spin-orbit coupling which arises from the mixing between eg and t2g orbitals. We show that the model acquires a net antisymmetric spin-orbit coupling once staggered spin and orbital orders occur spontaneously. The staggered orders are accompanied by oddparity multipoles: magnetic monopole, quadrupoles, and toroidal dipoles. We classify the types of the oddparity multipoles according to the symmetry of the spin and orbital orders. Furthermore, by computing the ME tensor using the linear response theory, we show that the staggered orders induce a variety of the linear ME responses. We elaborate all possible ME responses for each staggered order, which are useful to identify the order parameter and to detect the odd-parity multipoles by measuring the ME effects. We also elucidate the effect of lowering symmetry by a tetragonal distortion, which leads to richer ME responses. The implications of our results are discussed for 5d transition metal oxides, AOsO4 (A = K, Rb, and Cs), in which the order parameters are not fully identified.

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Efficient Method for Prediction of Metastable or Ground Multipolar Ordered States and Its Application in Monolayer α−RuX3 ( X=<

et al. 2021

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Mean-field study of correlation-induced antisymmetric spin-orbit coupling in a two-orbital honeycomb model

Cited by 4 publications

References 32 publications

Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: Implication for the 5d transition metal oxides AOsO4(A=
Hayami
¹
,
Kusunose
²
,
Motome
³

2018
Phys. Rev. B
Self Cite
41
0
12
0
View full text Add to dashboard Cite

Efficient Method for Prediction of Metastable or Ground Multipolar Ordered States and Its Application in Monolayer α−RuX3 ( X=<

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Mean-field study of correlation-induced antisymmetric spin-orbit coupling in a two-orbital honeycomb model

Cited by 4 publications

References 32 publications

Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors

Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: Implication for the 5d transition metal oxides AOsO4(A=Hayami1, Kusunose2, Motome3 2018Phys. Rev. BSelf Cite410120View full textAdd to dashboardCite

Efficient Method for Prediction of Metastable or Ground Multipolar Ordered States and Its Application in Monolayer α−RuX3 ( X=<

Contact Info

Product

Resources

About

Emergent odd-parity multipoles and magnetoelectric effects on a diamond structure: Implication for the 5d transition metal oxides AOsO4(A=
Hayami
¹
,
Kusunose
²
,
Motome
³

2018
Phys. Rev. B
Self Cite
41
0
12
0
View full text Add to dashboard Cite