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In this paper, we explore magneteoelectricity of rare earth orthochromites from the symmetry point of view. We determine the principal structural order parameters and find their couplings with ferroelectric and magnetic orderings. Our…

Materials Science · Physics 2021-08-11 A. K. Zvezdin , Z. V. Gareeva , X. M. Chen

Multipole moments serve as order parameters for characterizing higher-order magnetic effects in momentum space, providing a framework to describe diverse magnetic responses by extending the concept of magnetism. In this letter, we introduce…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Chang Niu , Lulu Li , Yiqing Wang , Lei Wang , Ke Xia

We show that the surface of a centrosymmetric, collinear, compensated antiferromagnet, which hosts bulk ferroically ordered magnetic octupoles, exhibits a linear magnetoelectric effect, a net magnetization, and a net electric dipole moment.…

Materials Science · Physics 2025-06-10 Sayantika Bhowal , Andrea Urru , Sophie F. Weber , Nicola A. Spaldin

d-wave altermagnets have magnetic octupoles as their order parameters [Phys. Rev. X 14, 011019 (2024)]. We theoretically show that magnetic octupoles injected from outside generate torque on the d-wave altermagnets. The injection can be…

Mesoscale and Nanoscale Physics · Physics 2024-09-24 Seungyun Han , Daegeun Jo , Insu Baek , Peter M. Oppeneer , Hyun-Woo Lee

Recent experiments on URu2Si2 show that the low-pressure hidden order is non-magnetic but it breaks time reversal invariance. Restricting our attention to local order parameters of 5f2 shells, we find that the best candidate for hidden…

Strongly Correlated Electrons · Physics 2009-11-10 Annamaria Kiss , Patrik Fazekas

Motivated by the recent discovery of anomalously large magnetic response of chiral phonons in dipolar magnets, we explore an extension to study Einstein quantum phonon modes coupled to multipolar moments. We consider the case of non-Kramers…

Strongly Correlated Electrons · Physics 2025-06-25 Ruairidh Sutcliffe , Kathleen Hart , Swati Chaudhary , Arun Paramekanti

We present a thorough density functional theory study of the magneto-electric (ME) effect in Cr$_{2}$O$_{3}$. The spin-lattice ME tensor $\alpha$ was determined in the low-field and spin flop (SF) phases, using the method of dynamical…

Materials Science · Physics 2016-10-05 Natalie Tillack , Jonathan R Yates , Paolo G Radaelli

We study the multiferroic properties in the distorted tetrahedral quasi-one dimensional spin system Cu$_3$Mo$_2$O$_9$, in which the effects of the low dimensionality and the magnetic frustration are expected to appear simultaneously. We…

Strongly Correlated Electrons · Physics 2015-06-03 T. Hosaka , S. Hachiuma , H. Kuroe , T. Sekine , M. Hase , K. Oka , T. Ito , H. Eisaki , M. Fujisawa , S. Okubo , H. Ohta

Using first principles calculations, we study the microscopic origin of ferroelectricity (FE) induced by magnetic order in the orthorhombic HoMnO3. We obtain the largest ferroelectric polarization observed in the whole class of improper…

Materials Science · Physics 2009-11-13 Silvia Picozzi , Kunihiko Yamauchi , Biplab Sanyal , Ivan A. Sergienko , Elbio Dagotto

Magnetoelectrics often possess ions located in noncentrosymmetric surroundings. Based on this fact we suggest a microscopic model of magnetoelectric interaction and show that the spin-orbit coupling leads to spin-dependent electric dipole…

Strongly Correlated Electrons · Physics 2012-06-27 V. P. Sakhnenko , N. V. Ter-Oganessian

We combine the anisotropy of magnetic interactions and the point symmetry of finite solids in the study of dipolar clusters as new basic units for multiferroics metamaterials. The hamiltonian of magnetic dipoles with an easy axis at the…

Materials Science · Physics 2020-12-03 Paula Mellado , Andres Concha , Sergio Rica

In the electromagnetic multipole expansion, magnetic octupoles are the subsequent order of magnetic multipoles allowed in centrosymmetric systems, following the more commonly observed magnetic dipoles. As order parameters in condensed…

Strongly Correlated Electrons · Physics 2023-09-12 Linda Ye , Matthew E. Sorensen , Maja D. Bachmann , Ian R. Fisher

We have investigated the dielectric anomalies associated with spin ordering transitions in the tetragonal spinel Mn$_3$O$_4$, using thermodynamic, magnetic, and dielectric measurements. We find that two of the three magnetic ordering…

Materials Science · Physics 2007-10-16 R. Tackett , G. Lawes , B. C. Melot , M. Grossman , E. S. Toberer , R. Seshadri

We clarify that the antiferromagnetic order in the distorted tetrahedral quasi-one dimensional spin system induces electric polarizations. In this system, the effects of the low dimensionality and the magnetic frustration are expected to…

Detecting symmetry-breaking hidden orders with conventional probes has been a long-standing challenge in the field of magnetism. Higher-rank multipolar ordering $-$ anisotropic charge and magnetization distributions arising from a…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Sopheak Sorn , Adarsh S. Patri

Two-dimensional (2D) multiferroic materials are ideal systems for exploring new coupling mechanisms between different ferroic orders and producing novel quantum phenomena with potential applications. We employed first-principles density…

Materials Science · Physics 2022-09-20 Weiwei Gao , Jijun Zhao , James R. Chelikowsky

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

Chiral magnets, which break both spatial inversion and time reversal symmetries, carry a potential for quadratic optical responses. Despite the possibility of enhanced and controlled responses through the magnetic degree of freedom, the…

Strongly Correlated Electrons · Physics 2021-12-01 Shun Okumura , Takahiro Morimoto , Yasuyuki Kato , Yukitoshi Motome

Quantum magnets with spin $J=2$, which arise in spin-orbit coupled Mott insulators, can potentially display multipolar orders. We carry out an exact diagonalization study of a simple octahedral crystal field Hamiltonian for two electrons,…

Strongly Correlated Electrons · Physics 2020-04-17 Sreekar Voleti , Dalini D. Maharaj , Bruce D. Gaulin , Graeme Luke , Arun Paramekanti

A ferroaxial ordering, which appears without mirror symmetry parallel to an electric axial moment, is described by a ferroic alignment of the electric toroidal (ET) dipole rather than the conventional electric and magnetic dipoles. Although…

Strongly Correlated Electrons · Physics 2023-11-23 Akimitsu Kirikoshi , Satoru Hayami