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

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We address the following important question: how to distinguish Kitaev models experimentally realized on small lattices from other non-topological interacting spin models. Based on symmetry arguments and exact diagonalization, we show that…

Strongly Correlated Electrons · Physics 2010-07-20 Han-Dong Chen , B. Wang , S. Das Sarma

We consider the general spin-1 SU(2) invariant Heisenberg model with a two-body interaction. A random loop model is introduced and relations to quantum spin systems is proved. Using this relation it is shown that for dimensions 3 and above…

Mathematical Physics · Physics 2016-09-15 Benjamin Lees

The new integrable quantum spin model is proposed. The model has a biaxial magnetic anisotropy of alternating coupling between spins together with multiple spin interactions. Our model gives the possibility to exactly find thermodynamic…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

To understand the collinear-magnetism-driven ferroelectricity in multiferroic Ca3CoMnO6 compound, we have established an elastic diatomic Ising spin-chain model with axial-next-nearest-neighbor interaction to describe its magnetoelectric…

Statistical Mechanics · Physics 2016-03-23 Yan Qi , Qi Yang , Nai-sen Yu , An Du

The discovery of atomically thin van der Waals ferroelectric and magnetic materials encourages the exploration of 2D multiferroics, which holds the promise to understand fascinating magnetoelectric interactions and fabricate advanced…

Materials Science · Physics 2023-07-21 Shuang Wu , Xinyu Chen , Canyu Hong , Xiaofei Hou , Zhanshan Wang , Zhiyuan Sheng , Zeyuan Sun , Yanfeng Guo , Shiwei Wu

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\rm eff}$ = 1/2 bands on a honeycomb lattice provide a pathway…

Strongly Correlated Electrons · Physics 2015-06-24 Heung-Sik Kim , V. Vijay Shankar , Andrei Catuneanu , Hae-Young Kee

Kitaev exchange, a new paradigm in quantum magnetism research, occurs for 90$^{\circ}$ metal-ligand-metal links, $t_{2g}^5$ transition ions, and sizable spin-orbit coupling. It is being studied in honeycomb compounds but also on triangular…

Strongly Correlated Electrons · Physics 2023-10-11 Pritam Bhattacharyya , Nikolay A. Bogdanov , Satoshi Nishimoto , Stephen D. Wilson , Liviu Hozoi

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev…

Strongly Correlated Electrons · Physics 2018-04-04 Akihisa Koga , Shiryu Nakauchi , Joji Nasu

This work shows that any $k$-local Hamiltonian of qubits can be obtained from a 4-state 'Ising' model with $k$-local diagonal interactions and a single-site transverse field -- giving a new theoretical and experimental handle on quantum…

Quantum Physics · Physics 2023-01-30 Ruben Verresen

Entanglement, magnetization and magnetic susceptibility for 1D antiferromagnetic spin 1 and spin 3/2 Heisenberg XXX model with Dzyaloshinskii-Moriya interaction, single-ion anisotropy and external magnetic field on the finite chain are…

Statistical Mechanics · Physics 2022-12-22 Nerses Ananikian , Vladimir V. Papoyan

We derive a spin-orbital Hamiltonian for a triangular lattice of e_g orbital degenerate (Ni^{3+}) transition metal ions interacting via 90 degree superexchange involving (O^{2-}) anions, taking into account the on-site Coulomb interactions…

Strongly Correlated Electrons · Physics 2009-11-11 Albert J. W. Reitsma , Louis F. Feiner , Andrzej M. Oles'

We perform a theoretical study of a non-collinear Ising ferrimagnetic spin chain inspired by the compound Co(hfac)2NITPhOMe. The basic building block of its structure contains one Cobalt ion and one organic radical each with a spin 1/2. The…

Materials Science · Physics 2009-11-10 A Vindigni , N Regnault , Th Jolicoeur

We provide analytical and numerical insights into the phase diagram and other properties of the extended Kitaev-Heisenberg model on the honeycomb lattice in the {\it easy-plane} limit, in which interactions are only between spin components…

Strongly Correlated Electrons · Physics 2023-01-20 P. A. Maksimov , A. L. Chernyshev

The ferroelectricity of multiferroics induced by spin order is commonly explained by considering either purely electronic or ion-displacement contribution. However, there is no general model which includes both effects simultaneously. Here,…

Strongly Correlated Electrons · Physics 2014-10-01 H. J. Xiang , P. S. Wang , M. -H. Whangbo , X. G. Gong

Achieving long-range ferrimagnetic order in purely organic systems remains a major challenge in molecular magnetism. Here we report the synthesis and characterization of heterospin-coupling motifs, formed by covalently linking spin-1/2 and…

Mesoscale and Nanoscale Physics · Physics 2026-04-10 Elia Turco , Fupeng Wu , Annika Bernhardt , Nils Krane , Ji Ma , Roman Fasel , Michal Juriček , Xinliang Feng , Pascal Ruffieux

The Heisenberg-Kitaev model is a paradigmatic model to describe the magnetism in honeycomb-lattice Mott insulators with strong spin-orbit coupling, such as A$_2$IrO$_3$ (A = Na, Li) and $\alpha$-RuCl$_3$. Here we study in detail the physics…

Strongly Correlated Electrons · Physics 2017-01-05 Lukas Janssen , Eric C. Andrade , Matthias Vojta

Single crystal inelastic neutron scattering data contain rich information about the structure and dynamics of a material. Yet the challenge of matching sophisticated theoretical models with large data volumes is compounded by computational…

The physics of interacting integer-spin chains has been a topic of intense theoretical interest, particularly in the context of symmetry-protected topological phases. However, there has not been a controllable model system to study this…

Quantum Physics · Physics 2015-06-24 C. Senko , P. Richerme , J. Smith , A. Lee , I. Cohen , A. Retzker , C. Monroe

The spin-wave excitation spectrum, the magnetization, and the N\'{e}el temperature for the quasi-two-dimensional spin-1/2 antiferromagnetic Heisenberg model with compass-model interaction in the plane proposed for iridates are calculated in…

Strongly Correlated Electrons · Physics 2015-06-23 A. A. Vladimirov , D. Ihle , N. M. Plakida

The Kitaev model is an exactly solvable quantum spin model within the language of the constrained real fermions. In spite of numerous studies along special magnetic-field orientations, there is a limited amount of knowledge on the complete…

Strongly Correlated Electrons · Physics 2022-02-15 F. Yılmaz , A. P. Kampf , S. K. Yip