Antisymmetric Thermopolarization by Electric Toroidicity

Abstract

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.

arXiv comment10 pages, 9 figures

References in corpus (32)

• Spin current and magneto-electric effect in non-collinear magnets
• Multiferroics: different ways to combine magnetism and ferroelectricity
• Superconductivity at 1 K in Cd2Re2O7
• Giant improper ferroelectricity in the ferroaxial magnet CaMn7O12
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Observation of a ferro-rotational order coupled with second-order nonlinear optical fields
• Superconductivity in the Correlated Pyrochlore Cd_2Re_2O_7
• Multipole classification in 122 magnetic point groups for unified understanding of multiferroic responses and transport phenomena
• Microscopic Description of Electric and Magnetic Toroidal Multipoles in Hybrid Orbitals
• Low Temperature Symmetry of Pyrochlore Oxide Cd2Re2O7
• First-principles theory of magnetic multipoles in condensed matter systems
• Electric Toroidal Quadrupoles in Spin-Orbit Coupled Metal Cd${}_2$Re${}_2$O${}_7$
• Pyrochlore Oxide Superconductor Cd2Re2O7 Revisited
• Structural Ordering and Symmetry Breaking in Cd_2Re_2O_7
• Goldstone-Mode Phonon Dynamics in the Pyrochlore Cd2Re2O7
• Electric Ferro-Axial Moment as Nanometric Rotator and Source of Longitudinal Spin Current
• Structural Order Parameter in the Pyrochlore Superconductor Cd2Re2O7
• Theory of spin magnetic quadrupole moment and temperature-gradient-induced magnetization
• The nature of the tensor order in Cd2Re2O7
• Thermally-induced spin polarization of a two dimensional electron gas
• High-pressure study on the superconducting pyrochlore oxide Cd2Re2O7
• Successive spatial symmetry breaking under high pressure in the spin-orbit-coupled metal Cd2Re2O7
• Spin-Orbital Wave Excitations in Orbitally Degenerate Exchange Model with Multipolar Interactions
• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
• The electrical properties of Cd2Re2O7 under pressure
• Vibronic Excitation Dynamics in Orbitally Degenerate Correlated Electron System
• Supersolid states in a spin system-phase diagram and collective excitations
• Formation and Control of Twin Domains in the Pyrochlore Oxide Cd2Re2O7
• Thermally-induced spin polarization in a magnetized two-dimensional electron gas with Rashba spin-orbit interaction
• Magnon gravitomagnetoelectric effect in noncentrosymmetric antiferromagnetic insulators
• Theoretical prediction of thermal polarisation

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