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Related papers: A primer on Kitaev Model: Basic aspects, material …

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A realistic first-principle-based spin Hamiltonian is constructed for the type-II multiferroic NiI$_2$, using a symmetry-adapted cluster expansion method. Besides single ion anisotropy and isotropic Heisenberg terms, this model further…

Strongly Correlated Electrons · Physics 2023-07-24 Xuanyi Li , Changsong Xu , Boyu Liu , Xueyang Li , L. Bellaiche , Hongjun Xiang

Magnetic materials are composed of the simple building blocks of magnetic moments on a crystal lattice that interact via magnetic exchange. Yet from this simplicity emerges a remarkable diversity of magnetic states. Some reveal the deep…

While the existence of a magnetic field induced quantum spin liquid in Kitaev magnets remains under debate, its topological properties often extend to proximal phases where they can lead to unusual behaviors of both fundamental and applied…

Strongly Correlated Electrons · Physics 2024-05-21 Li Ern Chern , Claudio Castelnovo

In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as ${\alpha}$-RuCl${}_3$.…

Strongly Correlated Electrons · Physics 2025-05-13 Axel Fünfhaus , Mikel García-Díez , M. G. Vergniory , Thilo Kopp , Stephen M. Winter , Roser Valentí

We study the excitation spectrum of the spin-1 Kitaev model using the symmetric tensor network. By evaluating the virtual order parameters defined on the virtual Hilbert space in the tensor network formalism, we confirm the ground state is…

Strongly Correlated Electrons · Physics 2023-04-07 Yu-Hsueh Chen , Jozef Genzor , Yong Baek Kim , Ying-Jer Kao

An introductory review, suitable for the beginning student of high-energy physics or professionals from other fields who may desire familiarity with subatomic-particle detection techniques. Subatomic-particle fundamentals and the basics of…

Instrumentation and Detectors · Physics 2015-07-20 Daniel M. Kaplan , Charles. E. Lane , Kenneth S. Nelson

The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a finite thermal Hall effect, a feature commonly…

Strongly Correlated Electrons · Physics 2018-05-30 Y. Kasahara , K. Sugii , T. Ohnishi , M. Shimozawa , M. Yamashita , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

Strongly Correlated Electrons · Physics 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

The Kitaev interaction in a honeycomb lattice with higher-spin $S$ has been one of the central attractions, as it may offer quantum spin liquids. A microscopic theory showed that when the Hund's coupling at the transition metal generates…

Strongly Correlated Electrons · Physics 2024-01-23 Jiefu Cen , Hae-Young Kee

Kitaev iridates have been proposed as candidates for realizing an elusive quantum spin liquid (QSL) state, in which strong spin-orbit coupling and bond-directional exchange generate a highly frustrated and entangled ground state. However,…

A vison is an excitation of the Kitaev spin liquid which carries a $\mathbb Z_2$ gauge flux. While immobile in the pure Kitaev model, it becomes a dynamical degree of freedom in the presence of perturbations. We study an isolated vison in…

Strongly Correlated Electrons · Physics 2023-01-11 Aprem P. Joy , Achim Rosch

Recent discovery of the half quantized thermal Hall conductivity in $\alpha$-RuCl$_3$, a candidate material for the Kitaev spin liquid, suggests the presence of a highly entangled quantum state in external magnetic fields. This field…

Strongly Correlated Electrons · Physics 2020-04-06 Hyun-Yong Lee , Ryui Kaneko , Li Ern Chern , Tsuyoshi Okubo , Youhei Yamaji , Naoki Kawashima , Yong Baek Kim

Prospect of building spintronic devices in which electron spins store and transport information has attracted strong attention in recent years. Here we present some of our representative theoretical results on three fundamental aspects of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. Das Sarma , Jaroslav Fabian , Xuedong Hu , Igor Zutic

Recent numerical studies indicate that the antiferromagnetic Kitaev honeycomb lattice model undergoes a magnetic-field-induced quantum phase transition into a new spin-liquid phase. This intermediate-field phase has been previously…

Strongly Correlated Electrons · Physics 2022-03-02 Shang-Shun Zhang , Gábor B. Halász , Cristian D. Batista

Quantum spin liquids are highly fascinating quantum liquids in which the spin degrees of freedom fractionalize. An interesting class of spin liquids are the exactly solvable, three-dimensional Kitaev spin liquids. Their fractionalized…

Strongly Correlated Electrons · Physics 2018-06-22 Stephanie Matern , Maria Hermanns

The combination of strong spin-orbit coupling and correlations, e.g. in ruthenates and iridates, has been proposed as a means to realize quantum materials with nontrivial topological properties. We discuss here Mott insulators where onsite…

Strongly Correlated Electrons · Physics 2019-05-01 Pavel S. Anisimov , Friedemann Aust , Giniyat Khaliullin , Maria Daghofer

The exactly solvable Kitaev honeycomb lattice model is realized as the low energy effect Hamiltonian of a spin-1/2 model with spin rotation and time-reversal symmetry. The mapping to low energy effective Hamiltonian is exact, without…

Strongly Correlated Electrons · Physics 2010-05-20 Fa Wang

We study the ground state and low-lying excited states of the Kitaev-Heisenberg model on a ladder geometry using the density matrix renormalization group and Lanczos exact diagonalization methods. The Kitaev and Heisenberg interactions are…

Strongly Correlated Electrons · Physics 2019-06-19 Cliò Efthimia Agrapidis , Jeroen van den Brink , Satoshi Nishimoto

Atomistic spin models have found enormous success in addressing the properties of magnetic materials, grounded on the identification of the relevant underlying magnetic interactions. The huge development in the field of magnetic skyrmions…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Sascha Brinker , Manuel dos Santos Dias , Samir Lounis

Recent advances in the study of cobaltites have unveiled their potential as a promising platform for realizing Kitaev physics in honeycomb systems and the Ising model in weakly coupled chain materials. In this manuscript, we explore the…