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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…

介观与纳米尺度物理 · 物理学 2023-09-07 Jannis Lehmann , Naëmi Leo , Laura Jane Heyderman , Manfred Fiebig

In vortex-like spin arrangements, multiple spins can combine into emergent multipole moments. Such multipole moments have broken space-inversion and time-reversal symmetries, and can therefore exhibit linear magnetoelectric (ME) activity.…

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…

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…

强关联电子 · 物理学 2026-04-02 Shungo Aoyagi , Shunsuke Kitou , Taka-hisa Arima , Yusuke Tokunaga

The nature of an electric ferro-axial moment characterizing a time-reversal-even axial-vector quantity is theoretically investigated under magnetic orderings. We clarify that a vortex spin texture results in the emergence of the ferro-axial…

强关联电子 · 物理学 2022-10-12 Satoru Hayami

In this paper we present an analysis of the magnetic toroidal moment and its relation to the various structural modes in R3c-distorted perovskites with magnetic cations on either the perovskite A or B site. We evaluate the toroidal moment…

材料科学 · 物理学 2015-05-13 Claude Ederer

Magnetic-ferroic ordering and magnetic-toroidal moments are essential concepts in molecular electronics and magnetics. The magnetic toroidal moment is critical in understanding new electronic states and their possible uses. This paper…

介观与纳米尺度物理 · 物理学 2025-05-14 Maximiliano Bernal , Guidobeth Saez , Tomás P. Espinoza , Roberto E. Troncoso , Alvaro S. Nunez

Beyond conventional electric and magnetic monopoles, electric and magnetic toroidal monopoles, which are rank-0 multipoles distinguished by opposite parities under spatial inversion and time reversal, can exist in nature. The recent…

强关联电子 · 物理学 2026-03-11 Yasuyuki Kato , Takeshi Hayashida , Koei Matsumoto , Tsuyoshi Kimura , Yukitoshi Motome

Toroidal order, given by a composite of electric and magnetic orders, manifests itself not only in the peculiar magnetism but also in anomalous transport and magnetoelectric effect. We report our theoretical results on the influence and…

强关联电子 · 物理学 2014-08-05 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Magnetic monopoles and toroidal order are compelling features that have long been theorized but remain elusive in real materials. Multiferroic hexagonal ferrites are an interesting realization of frustrated triangular lattice, where…

强关联电子 · 物理学 2020-01-08 Francesco Foggetti , Sang-Wook Cheong , Sergey Artyukhin

Molecules with an odd number of electrons typically display paramagnetic behaviour in a uniform magnetic field. Single-molecule toroics -- a family of open shell lanthanide complexes -- instead display an unprecedented vanishing…

介观与纳米尺度物理 · 物理学 2025-09-09 Kieran Hymas , Alessandro Soncini

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.…

材料科学 · 物理学 2024-07-12 Sayantika Bhowal , Nicola A. Spaldin

Monoaxial chiral magnets can form a peculiar noncollinear spin structure called the chiral soliton lattice in an applied magnetic field perpendicular to the helical axis. We study magnetic properties and electrical transport in the chiral…

强关联电子 · 物理学 2017-07-12 Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

The unusual magnetoelectric effects observed in the multiferroic phase arising below TN=6.7K in Ba2CoGe2O7 (BCG) are related to the spontaneous toroidal moment existing in this compound. The transition to the multiferroic state, which…

材料科学 · 物理学 2010-12-06 Pierre Toledano , Dmitry D. Khalyavin , Laurent C. Chapon

We theoretically investigate an antiferromagnetic structure in a hexagonal zigzag-chain compound Ce$_3$TiBi$_5$, which shows a linear magnetoelectric effect in metals and an unfamiliar temperature dependence of magnetic susceptibility. We…

强关联电子 · 物理学 2023-01-19 Satoru Hayami , Hiroaki Kusunose

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…

材料科学 · 物理学 2013-05-29 A. B. Harris

We present a first principles study of the ferrochiral phase transition in chiral BaTiOCu$_4$(PO$_4$)$_4$, which has been shown using X-ray diffraction to proceed via the antiferroaxial rotation of antipolar structural units. We analyze the…

材料科学 · 物理学 2026-05-05 Alex Hallett , Nicola A. Spaldin

An effective Hamiltonian technique is used to investigate the effect of applying curled electric fields on physical properties of stress-free BiFeO3 dots being under open-circuit electrical boundary conditions. It is discovered that such…

介观与纳米尺度物理 · 物理学 2011-09-15 Wei Ren , L. Bellaiche

Multipoles are paramount for describing electromagnetic fields in many areas of nanoscale optics, playing an essential role for the design of devices in plasmonics and all-dielectric nanophotonics. Challenging the traditional division into…

The magnetic toroidal monopole, a time-reversal-odd scalar, has attracted attention through its characteristic responses, such as electric-field-induced nonreciprocal directional dichroism observed in Co$_2$SiO$_4$. However, its evaluation…

强关联电子 · 物理学 2026-04-08 Taisei Yamanaka , Takumi Sato , Satoru Hayami
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