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Recent progress in the understanding of the collective behavior of electrons and ions have revealed new types of ferroic orders beyond ferroelectricity and ferromagnetism, such as the ferroaxial state. The latter retains only rotational…

Materials Science · Physics 2025-03-11 Ezra Day-Roberts , Rafael M. Fernandes , Turan Birol

Transport property under metallic ferroaxial ordering in an external magnetic field is theoretically investigated. After presenting the relation between the magnetoconductivity tensor and ferroaxial moment from the symmetry viewpoint, we…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami , Rikuto Oiwa , Hiroaki Kusunose

This letter addresses basic questions concerning ferroelectric order in positionally disordered dipolar materials. Three models distinguished by dipole vectors which have one, two or three components are studied by computer simulation.…

Condensed Matter · Physics 2009-10-28 G. Ayton , M. J. P. Gingras , G. N. Patey

Orbital angular momentum and torque transfer play central roles in a wide range of magnetic textures and devices including skyrmions and spin-torque electronics(1-4). Analogous topological structures are now also being explored in…

Toroidal dipole, first described by Ia. B. Zeldovich [Sov. Phys. JETP 33, 1184 (1957)], is a distinct electromagnetic excitation that differs both from the electric and the magnetic dipoles. It has a number of intriguing properties: static…

Optics · Physics 2013-10-02 V. Savinov , V. A. Fedotov , N. I. Zheludev

A two dimensional system of discs upon which a triangle of spins are mounted is shown to undergo a sequence of interesting phase transitions as the temperature is lowered. We are mainly concerned with the `solid' phase in which bond…

Materials Science · Physics 2013-05-29 A. B. Harris

We demonstrate that the toroidal dipolar response can be realized in the optical regime by designing a feasible nanostructured metamaterial, comprising asymmetric double-bar magnetic resonators assembled into a toroid-like configuration. It…

Optics · Physics 2015-03-13 Zheng-Gao Dong , J. Zhu , Junsuk Rho , Jia-Qi Li , Changgui Lu , Xiaobo Yin , X. Zhang

We investigate the role of electric toroidal dipoles in the prototypical ferroaxial materials NiTiO$_3$ and K$_2$Zr(PO$_4$)$_2$, which undergo ferroaxial structural phase transitions of order-disorder and displacive type, respectively.…

Materials Science · Physics 2024-07-12 Sayantika Bhowal , Nicola A. Spaldin

From a symmetry perspective, ferroaxial order belongs to the same symmetry as time-reversal-even pseudovectors. Experimentally, ${\rm K_2Zr(PO_4)_2}$ is known to undergo a displacive-type phase transition from a non-ferroaxial to a…

Materials Science · Physics 2025-12-22 Yu Xie , Rikuto Oiwa , Satoru Hayami

We review the phenomenology of coupled magnetic and electric order parameters for systems in which ferroelectric and incommensurate magnetic order occur simultaneously. We discuss the role that such materials might play in fabricating novel…

Materials Science · Physics 2007-05-23 A. B. Harris , G. Lawes

We show that time-reversal symmetry broken, centrosymmetric antiferromagnets with nonrelativistic spin-splitting are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order…

Strongly Correlated Electrons · Physics 2025-06-10 Sayantika Bhowal , Nicola A. Spaldin

The antiferroaxial state is emerging as an important ferroic order in condensed matter systems. Here, we establish antiferroaxial altermagnetism as a broadly prevalent, generic, and microscopically grounded multiferroic mechanism, in which…

Materials Science · Physics 2026-02-12 Yichen Liu , Cheng-Cheng Liu

Within Landau theory, magnetism and polarity are homotopic, displaying a one-to-one correspondence between most physical characteristics. However, despite widely reported noncollinear magnetism, spontaneous noncollinear electric dipole…

Materials Science · Physics 2019-11-11 Ling-Fang Lin , Yang Zhang , Adriana Moreo , Elbio Dagotto , Shuai Dong

Here by combining a symmetry-based analysis with numerical computations we predict a new kind of magnetic ordering - antichiral ferromagnetism. The relationship between chiral and antichiral magnetic order is conceptually similar to the…

Strongly Correlated Electrons · Physics 2021-07-21 Filipp N. Rybakov , Anastasiia Pervishko , Olle Eriksson , Egor Babaev

Magneto-toroidal order, also called ferrotoroidicity, is the most recently established type of ferroic state. It is based on a spontaneous and uniform alignment of unit-cell-sized magnetic whirls, called magneto-toroidal moments, associated…

Mesoscale and Nanoscale Physics · Physics 2023-09-07 Jannis Lehmann , Naëmi Leo , Laura Jane Heyderman , Manfred Fiebig

We identify the bosonic excitations in ferroelectrics that carry electric dipoles from the phenomenological Landau-Ginzburg-Devonshire theory. The "ferron" quasi-particles emerge from the concerted action of anharmonicity and broken…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Ping Tang , Ryo Iguchi , Ken-ichi Uchida , Gerrit E. W. Bauer

Ferroic multipole orders break some symmetry and often activate unique physical properties, such as nonreciprocal directional dichroism and linear magnetoelectric effects. Here, we demonstrate the control of magnetic toroidal orientation in…

Strongly Correlated Electrons · Physics 2026-04-02 Shungo Aoyagi , Shunsuke Kitou , Taka-hisa Arima , Yusuke Tokunaga

We propose the second-order response of metals in an electric field induced by magnetic impurities which locally break inversion symmetry. The impurities with toroidal moments scatter conduction electrons in the presence of the spin-orbit…

Disordered Systems and Neural Networks · Physics 2022-10-04 Hiroki Isobe , Naoto Nagaosa

Noncollinear antiferromagnets can generate a transverse electrical response known as the anomalous Hall effect, even though they possess almost no net magnetization. The microscopic origin of this behaviour, however, has remained unclear…

We theoretically propose the emergence of nonlinear nonreciprocal conductivity in centrosymmetric paramagnetic systems when a spatially gradient magnetic field is externally applied. The key essence lies in the appearance of magnetic…

Strongly Correlated Electrons · Physics 2024-12-25 Taisei Yamanaka , Yoshihiko Ihara , Satoru Hayami