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Spin ice systems display a variety of very nontrivial properties, the most striking being the existence in them of magnetic monopoles. Such monopole states can also have nontrivial electric properties: there exist electric dipoles attached…

Strongly Correlated Electrons · Physics 2021-06-09 D. I. Khomskii

A model of a ferromagnet is considered, in which there arise mesoscopic fluctuations of paramagnetic phase. The presence of these fluctuations diminishes the magnetization of the ferromagnet, softens the spin-wave spectrum, increases the…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

The higher order moments of the fluctuations for the thermodynamical systems in the presence of fields are investigated in the framework of a theoretical method. The metod uses a generalized statistical ensemble consonant with the adequate…

Statistical Mechanics · Physics 2009-11-07 A. Boer , S. Dumitru

Ferromagnetic ordering in a two-level partially excited system is studied in detail. Magnitudes of magnetization (magnetic order parameter) and lattice ordering (excited level occupation number) are calculated self-consistently. The…

Statistical Mechanics · Physics 2015-10-26 M. A. Korynevskii , V. B. Solovyan

The role of dipole-dipole interaction between Josephson diamagnetic moments is considered within a model system of two clusters (each cluster contains three weakly connected superconducting grains). The sign of the resulting critical…

Superconductivity · Physics 2009-10-31 Sergei A. Sergeenkov

Motivated by recent studies of odd-parity multipole order in condensed matter physics, we theoretically study magnetoelectric responses in an electric octupole state. Investigating the Edelstein effect and spin Hall effect in a locally…

Strongly Correlated Electrons · Physics 2019-05-22 Takanori Hitomi , Youichi Yanase

The higher order multipoles above the electric quadrupole are commonly neglected in metamaterial homogenization. We show that they nevertheless can be significant when second order spatial dispersive effects, such as the magnetic response,…

We discuss the second-order magnetoelectric effect, in which a quadratic or bilinear electric field induces a linear magnetization, in terms of the ferroic ordering of magnetic octupoles. We present the decomposition of a general rank-3…

Materials Science · Physics 2022-12-02 Andrea Urru , Nicola A. Spaldin

In order to examine the origin of octupole ordering in NpO2, we propose a microscopic model constituted of neptunium 5f and oxygen 2p orbitals. To study multipole ordering, we derive effective multipole interactions from the f-p model by…

Strongly Correlated Electrons · Physics 2009-08-11 Katsunori Kubo , Takashi Hotta

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…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Takumi Sato , Satoru Hayami

Atomic properties such as field shift constants, magnetic dipole and electric quadrupole hyperfine structure constants, Land\'e $g_J$ factors, and electric quadrupole moments that are described by electronic operators with different ranks…

Atomic Physics · Physics 2018-03-14 Pradeep Kumar , Cheng-Bin Li , B. K. Sahoo

We present ab initio calculations of hidden magnetoelectric multipolar order in Cr$_2$O$_3$ and its iron-based analogue, $\alpha$-Fe$_2$O$_3$. First, we discuss the connection between the order of such hidden multipoles and the linear…

Materials Science · Physics 2023-11-14 Xanthe H. Verbeek , Andrea Urru , Nicola A. Spaldin

We theoretically study electric quadrupole orders in f-electron systems on the fcc lattice. Qudrupole degrees of freedom $O_{20}$ and $O_{22}$ originate in the non-Kramers doublet ground state $\Gamma_3$ of ion with $f^2$ electron…

Strongly Correlated Electrons · Physics 2021-03-15 Hirokazu Tsunetsugu , Takayuki Ishitobi , Kazumasa Hattori

The large number of low-lying states of d- and f-shells supports a variety of order parameters. The effective dimensionality of the local Hilbert space depends on the strength, and kind, of intersite interactions. This gives rise to…

Strongly Correlated Electrons · Physics 2007-05-23 P. Fazekas , A. Kiss

The optical Hall response is theoretically studied for spin-orbit coupled metals with ferroic orders of cluster-type magnetic multipoles. We find that different magnetic multipoles give rise to distinct spectra in the optical Hall…

Strongly Correlated Electrons · Physics 2021-02-16 Tatsuki Sato , Yuma Umimoto , Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

Quantum matter hosts a large variety of phases, some coexisting, some competing; when two or more orders occur together, they are often entangled and cannot be separated. Dynamical multiferroicity, where fluctuations of electric dipoles…

Strongly Correlated Electrons · Physics 2019-02-20 K. Dunnett , J. -X. Zhu , N. A. Spaldin , V. Juricic , A. V. Balatsky

We present a theory for the relaxation time of the octupole order parameter in nanoscale chiral antiferromagnets (AFMs) coupled to thermal baths and spin injection sources. Using stochastic spin dynamics simulations, we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Shiva T. Konakanchi , Sagnik Banerjee , Mohammad M. Rahman , Yuta Yamane , Shun Kanai , Shunsuke Fukami , Pramey Upadhyaya

We study the multipole interactions between $f^2$ ions with the $\Gamma_3$ non-Kramers doublet ground state under a cubic crystalline electric field. We construct the $\Gamma_3$ doublet state of the electrons with the total angular momentum…

Strongly Correlated Electrons · Physics 2017-02-23 Katsunori Kubo , Takashi Hotta

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…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Takumi Sato , Satoru Hayami

In real magnets the tendency towards ferromagnetism, promoted by exchange coupling, is usually frustrated by dipolar interaction. As a result, the uniformly ordered phase is replaced by modulated (multi-domain) phases, characterized by…

Statistical Mechanics · Physics 2018-12-26 Sergio A. Cannas , Alessandro Vindigni