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Related papers: Realistic Spin Model for Multiferroic NiI$_2$

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We lay the foundation for determining the microscopic spin interactions in two-dimensional (2D) ferromagnets by combining angle-dependent ferromagnetic resonance (FMR) experiments on high quality CrI$_3$ single crystals with theoretical…

Recently, realizations of Kitaev physics have been sought in the A2IrO3 family of honeycomb iridates, originating from oxygen-mediated exchange through edge-shared octahedra. However, for the j = 1/2 Mott insulator in these materials…

Strongly Correlated Electrons · Physics 2014-03-18 Jeffrey G. Rau , Eric Kin-Ho Lee , Hae-Young Kee

Motivated by the recently synthesized insulating nickelate Ni$_2$Mo$_3$O$_8$, which has been reported to have an unusual non-collinear magnetic order of Ni$^{2+}$ $S=1$ moments with a nontrivial angle between adjacent spins, we construct an…

Strongly Correlated Electrons · Physics 2021-08-17 Shuyi Li , Manh Duc Le , Vaideesh Loganathan , Andriy H. Nevidomskyy

In recent years, a lot of effort has been devoted to the quest for experimental realizations of Kitaev interactions in spin systems. Recently, many materials have been synthesized which seem to realize extended Kitaev models, where Kitaev…

Strongly Correlated Electrons · Physics 2019-06-05 Maria Laura Baez

Inspired by the Affleck-Kennedy-Lieb-Tasaki (AKLT) model, we present exact solutions for a spin-1 chain with Kitaev-like couplings. We consider an expanded Kitaev model with bilinear and biquadratic terms. At an exactly solvable point, the…

Strongly Correlated Electrons · Physics 2025-10-16 Alwyn Jose Raja , R. Ganesh

The spin dynamics of the geometrically frustrated triangular antiferromagnet multiferroic CuCrO2 have been mapped out using inelastic neutron scattering. The relevant spin Hamiltonian parameters modelling the incommensurate modulated…

Strongly Correlated Electrons · Physics 2015-05-14 M. Poienar , F. Damay , C. Martin , J. Robert , S. Petit

The dynamical behaviour of the quantum state of different quantum spin chains, with designed site dependent interaction strengths, is analyzed when the initial state belongs to the one excitation subspace. It is shown that the inhomogeneous…

Quantum Physics · Physics 2022-10-26 Alejandro Ferrón , Pablo Serra , Omar Osenda

We theoretically study origins of the ferroelectricity in the multiferroic phases of the rare-earth (R) Mn perovskites, RMnO3, by constructing a realistic spin model including the spin-phonon coupling, which reproduces the entire…

Strongly Correlated Electrons · Physics 2011-02-21 Masahito Mochizuki , Nobuo Furukawa , Naoto Nagaosa

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

Strongly Correlated Electrons · Physics 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

The Kitaev honeycomb model plays a pivotal role in the quest for quantum spin liquids, in which fractional quasiparticles would provide applications in decoherence-free topological quantum computing. The key ingredient is the bond-dependent…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

The spin-1/2 Heisenberg model is formulated in terms of a mean-field approximation (MFA) by using the matrix forms of spin operators $\hat{S}_x,\hat{S}_y$ and $\hat{S}_z$ in three-dimensions. The considered Hamiltonian consists of bilinear…

Statistical Mechanics · Physics 2022-10-10 E. Albayrak

Spin-orbit coupling locks spin direction and spatial orientation and generates, in semi-classical magnets, a local spin easy-axis and associated ordering. Quantum spin-1/2's defy this fate: rather than spins becoming locally anisotropic,…

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the…

Strongly Correlated Electrons · Physics 2024-07-12 Qiang Luo , Jize Zhao , Jinbin Li , Xiaoqun Wang

Density-functional calculations are carried out to investigate incommensurate magnetic structures and ferroelectric polarization in newly discovered multiferroic material MnI$_2$. The exchange interactions among local moments on Mn are…

Strongly Correlated Electrons · Physics 2013-05-30 Xianxin Wu , Yingxiang Cai , Qing Xie , Hongming Weng , Heng Fan , Jiangping Hu

We investigate the magnetic-field dependence of the interaction between two Rydberg atoms, $|nS_{1/2}, m_J\rangle$ and $|(n+1)S_{1/2}, m_J\rangle$. In this setting, the effective spin-1/2 Hamiltonian takes the form of an {\it XXZ} model. We…

Quantum Gases · Physics 2025-11-07 Masaya Kunimi , Takafumi Tomita

Recent advances in synthetic quantum matter allow researchers to design quantum models inaccessible in traditional materials. Here, we propose protocols to engineer a new class of quantum spin models, which we call spin Kitaev models. The…

Quantum Gases · Physics 2025-08-26 Chenwei Lv , Thomas Bilitewski , Ana Maria Rey , Qi Zhou

Motivated by the possibility of finding a bosonic quantum spin liquid in the integer spin-$S$ Heisenberg-Kitaev model on the honeycomb lattice, we derive a Schwinger boson mean field theory involving both singlet and triplet pairing…

Strongly Correlated Electrons · Physics 2026-05-19 Arnaud Ralko , Jaime Merino

LiCu2O2 is the first multiferroic cuprate to be reported and its ferroelectricity is induced by complex magnetic ordering in ground state, which is still in controversy today. Herein, we have grown nearly untwinned LiCu2O2 single crystals…

Strongly Correlated Electrons · Physics 2015-05-27 Li Zhao , Kuo-Wei Yeh , Sistla Muralidhara Rao , Tzu-Wen Huang , Phillip Wu , Wei-Hsiang Chao , Chung-Ting Ke , Cheng-En Wu , Maw-Kuen Wu

We investigate magnetic properties in the $S=1$ Kitaev model in the anisotropic limit. Performing the fourth-order perturbation expansion with respect to the $x$-bonds, $y$-bonds, and magnetic field, we derive the effective Hamiltonian,…

Strongly Correlated Electrons · Physics 2020-04-22 Tetsuya Minakawa , Joji Nasu , Akihisa Koga

Multipolar spin systems provide a rich ground for the emergence of unexpected states of matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis on $S=1$ magnets, we explore the interplay between spin…

Strongly Correlated Electrons · Physics 2024-08-06 Rico Pohle , Nic Shannon , Yukitoshi Motome