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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…

介观与纳米尺度物理 · 物理学 2026-01-14 Chang Niu , Lulu Li , Yiqing Wang , Lei Wang , Ke Xia

The multipole concept, which characterizes the spacial distribution of scalar and vector objects by their angular dependence, has already become widely used in various areas of physics. In recent years it has become employed to…

强关联电子 · 物理学 2018-04-04 Michi-To Suzuki , Hiroaki Ikeda , Peter M. Oppeneer

Emergent quasiparticles that arise from the fractionalization of the microscopic degrees of freedom have been one of the central themes in modern condensed matter physics. The notion of magnetic monopoles, freely moving quasiparticles…

强关联电子 · 物理学 2016-06-10 Gia-Wei Chern , Paula Mellado

A method is presented which allows the exact construction of conserved (i.e. divergence-free) current vectors from appropriate sets of multipole moments. Physically, such objects may be taken to represent the flux of particles or electric…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Abraham I. Harte

We investigate effects of multipole moments in f-electron systems both from phenomenological and microscopic viewpoints. First, we discuss significant effects of octupole moment on the magnetic susceptibility in a paramagnetic phase. It is…

强关联电子 · 物理学 2015-06-25 Katsunori Kubo , Takashi Hotta

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

经典物理 · 物理学 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

We consider the magnetostatic response to an external magnetic field of a crystal containing off-center ions, such as Li^+ in KCl and KBr or the apical oxygens O(A) in the LaSCO family of layered perovskites. Magnetic dipoles are deduced…

材料科学 · 物理学 2007-05-23 Mladen Georgiev

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

材料科学 · 物理学 2023-05-31 Óscar Pozo , Ivo Souza

Multipolar degrees of freedom and their hidden orders have been widely discussed in the context of heavy fermions, frustrated magnets and exotic Kondo effects. Although there has been extensive search for multipolar degrees of freedom in…

强关联电子 · 物理学 2023-09-15 Junmo Jeon , SungBin Lee

Multiferroics are materials with coexisting electric and magnetic orders that are of central importance for fundamental research and technological applications. Unfortunately, intrinsic multiferroics that operate at room temperature remain…

材料科学 · 物理学 2025-11-06 Ping Tang , Gerrit E. W. Bauer

We theoretically investigate the effect of external fields and currents on electronic nematic orderings based on the concept of augmented multipoles consisting of electric, magnetic, magnetic toroidal, and electric toroidal multipoles. We…

强关联电子 · 物理学 2023-11-29 Satoru Hayami

We study integral expressions of electromagnetic multipole moments of arbitrary order in Cartesian coordinates. The volume and surface integrals of charge-induced and current-induced multipole moment tensors are formulated and the…

经典物理 · 物理学 2013-07-30 J. Niitsuma

Background: The coupling of the last nucleon with configurations in the ground state of the even-even core is known to augment the single quasiparticle fragmentation pattern. In a recent experimental study by Yordanov \emph{et al.} the…

核理论 · 物理学 2015-11-11 S. Mishev , V. V. Voronov

Magnetic multipoles have been recognized as order parameters characterizing magnetic structure in solids. Recently, magnetic octupoles have been proposed as the order parameters of time-reversal-symmetry breaking centrosymmetric…

介观与纳米尺度物理 · 物理学 2026-02-06 Takumi Sato , Satoru Hayami

Electrically charged particles, such as the electron, are ubiquitous. By contrast, no elementary particles with a net magnetic charge have ever been observed, despite intensive and prolonged searches. We pursue an alternative strategy,…

强关联电子 · 物理学 2011-11-08 Claudio Castelnovo , Roderich Moessner , Shivaji L. Sondhi

Magnetic multipole moments beyond dipoles have emerged as key descriptors of unconventional electromagnetic responses in crystalline solids. However, a gauge-invariant bulk expression for orbital magnetic multipole moments has remained…

介观与纳米尺度物理 · 物理学 2026-01-01 Takumi Sato , Satoru Hayami

In this short article, we overview a concept of electronic toroidal multipoles, and their ordering with associated physical properties in non-magnetic and magnetic materials. The toroidal multipoles are introduced as microscopic electronic…

材料科学 · 物理学 2024-09-12 Hiroaki Kusunose , Satoru Hayami

The charged wave packets with non-Gaussian spatial profiles are shown to possess intrinsic multipole moments. The magnetic dipole moment and the electric quadrupole moment are found for a wide class of the packets, including the vortex…

量子物理 · 物理学 2019-02-05 Dmitry Karlovets , Alexey Zhevlakov

We introduce a mechanism in which coupling between fluctuating spin magnetic dipole moments and polar optical phonons leads to a non-zero ferroic ordering of quasi-static magnetoelectric multipoles. Using first-principles calculations…

超导电性 · 物理学 2016-05-25 M. Fechner , M. J. A. Fierz , F. Thöle , U. Staub , N. A. Spaldin

Electrons navigate more easily in a background of ordered magnetic moments than around randomly oriented ones. This fundamental quantum mechanical principle is due to their Bloch wave nature and also underlies ballistic electronic motion in…

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