Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena

Yatsushiro, Megumi; Kusunose, Hiroaki; Hayami, Satoru

doi:10.1103/physrevb.104.054412

Cited by 67 publications

(45 citation statements)

References 132 publications

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“…For T MF x 0, the nonzero components of the secondorder nonlinear conductivity σ µνλ in J µ = σ µνλ E ν E λ (µ, ν, λ = x, y, z) are determined by the magnetic point group symmetry as σ xxx , σ xyy , σ xzz , σ zzx , and σ yxy [27,34]. Among them, σ xyy and σ yxy vanish owing to k y = 0 in the present twodimensional system.…”

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confidence: 75%

“…The nonzero σ xxx is closely related to the formation of the asymmetric band structure under T MF x 0, since σ xxx has the same symmetry as T MF x [34]. As the asymmetric band modulation is caused by the coupling between T MF x and α 1 , they are indispensable for nonzero σ xxx .…”

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confidence: 98%

“…Moreover, the nonreciprocal optical and transport properties have been studied [19][20][21][22]. Among them, multiferroic phenomena within the linear response theory have been understood by regarding the fact that the AFM states accompany the uniform orderings of the oddparity magnetic electronic multipoles [14,[23][24][25][26][27][28][29][30][31][32][33][34], such as the magnetic toroidal (MT) dipole [29,30,[35][36][37][38][39].…”

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confidence: 99%

“…Meanwhile, the microscopic understanding of the nonlinear transports beyond the symmetry argument has not been fully achieved [22,34]. For example, it remains unclear which model parameters are essentially important to induce nonlinear transports and how the odd-parity magnetic multipoles are related to them.…”

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confidence: 99%

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Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{PT}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains

Yatsushiro,

Oiwa,

Kusunose

et al. 2021

Preprint

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A magnetic toroidal moment is a fundamental electronic degree of freedom in the absence of both spatial inversion and time-reversal symmetries and gives rise to novel multiferroic and transport properties. We elucidate essential model parameters of the nonlinear transport in the space-time (PT ) symmetric collinear antiferromagnetic metals accompanying a magnetic toroidal moment. By analyzing the longitudinal and transverse components of the second-order nonlinear conductivity on a two-dimensionally stacked zigzag chain based on the nonlinear Kubo formula, we show that an effective coupling between the magnetic toroidal moment and the antisymmetric spin-orbit interaction is a source of inducing the nonlinear conductivity. Moreover, we find that the nonreciprocal longitudinal current and nonlinear Hall coefficient are largely enhanced just below the transition temperature of the antiferromagnetic ordering. We also discuss the relevance to the linear magnetoelectric effect. Our result serves as a guide for extracting essential model parameters for various multiferroic and conductive phenomena in noncentrosymmetric antiferromagnetic metals.

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confidence: 75%

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confidence: 98%

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confidence: 99%

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confidence: 99%

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Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{PT}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains

Yatsushiro,

Oiwa,

Kusunose

et al. 2021

Preprint

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“…To elucidate in what cases the cross-correlation occurs, multipole-based research has developed [19][20][21][22]. It tells us the necessary conditions for the emergence of a crosscorrelation response based on the symmetries of the lattice geometry, electronic structure, and order parameter.…”

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confidence: 99%

Antisymmetric Thermopolarization by Electric Toroidicity

Nasu,

Hayami

2021

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We investigate electric polarizations emergent perpendicular to an applied thermal gradient in insulating systems. The thermally-induced electric polarization, known as thermopolarization, has been studied conventionally in the case that an electric polarization appears along the thermal gradient. Here, we focus on the antisymmetric component of the thermopolarization tensor and reveal that it becomes nonzero owing to the ferro-type order for electric-toroidal dipole moments. To describe local electric polarizations originating from the disproportionation of localized electronic clouds, we introduce a two-dimensional three-orbital model with localized s and two p orbitals, where the electric polarization at each site interacts with the neighboring one as dipole-dipole interactions. We find that a vortex-type configuration of local electric polarizations appears as a mean-field ground state, corresponding to a ferro-type electric-toroidal dipole order. By taking account of collective modes from this ordered state, we calculate the coefficient of the thermopolarization based on the linear response theory. The antisymmetric component is nonzero in the presence of the electric-toroidal dipole order. We clarify that fluctuations in the p orbitals are crucial in enhancing the antisymmetric thermopolarization. We discuss the appearance conditions based on the symmetry argument and the relevance to real materials.

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Magnetization Control of Zero‐Field Intrinsic Superconducting Diode Effect

et al. 2023

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The superconducting diode effect (SDE), which causes a superconducting state in one direction and a normal‐conducting state in another, has significant potential for developing ultralow power consumption circuits and non‐volatile memory. However, the practical control of the SDE necessities the precise tuning of current, temperature, magnetic field, or magnetism. Therefore, the mechanisms of the SDE must be understood to develop novel materials and devices capable of realizing the SDE under more controlled and robust conditions. This study demonstrates an intrinsic zero‐field SDE with an efficiency of up to 40% in Fe/Pt‐inserted non‐centrosymmetric Nb/V/Ta superconducting artificial superlattices. The polarity and magnitude of the zero‐field SDE are controllable by the direction of magnetization, indicating that the effective exchange field acts on Cooper pairs. Furthermore, the first‐principles calculation indicates that the SDE can be enhanced by an asymmetric configuration of proximity induced magnetic moments in superconducting layers, which induces a magnetic toroidal moment. This study has important implications regarding the development of novel materials and devices that can effectively control the SDE. Moreover, the magnetization control of the SDE is expected to aid in the designing of superconducting quantum devices and establishing a material platform for topological superconductors.

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Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena

Cited by 67 publications

References 132 publications

Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{PT}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains

Analysis of model parameter dependences on the second-order nonlinear conductivity in $\mathcal{PT}$-symmetric collinear antiferromagnetic metals with magnetic toroidal moment on zigzag chains

Antisymmetric Thermopolarization by Electric Toroidicity

Magnetization Control of Zero‐Field Intrinsic Superconducting Diode Effect

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