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Related papers: Insights into the Anisotropic Spin-$S$ Kitaev Chai…

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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

The Kitaev model is an exactly-soluble quantum spin model, whose ground state provides a canonical example of a quantum spin liquid. Spin excitations from the ground state are fractionalized into emergent matter fermions and $Z_2$ fluxes.…

Strongly Correlated Electrons · Physics 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

Anderson proposed structural topology in frustrated magnets hosting novel quantum spin liquids (QSLs). The QSL state is indeed exactly derived by fractionalizing the spin excitation into spinless Majorana fermions in a perfect two…

Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

Strongly Correlated Electrons · Physics 2023-09-14 Ganapathy Baskaran

The $S=3/2$ Kitaev honeycomb model (KHM) is unique among the spin-$S$ Kitaev models due to a massive ground state quasi-degeneracy that hampered previous numerical and analytical studies. In a recent work~\cite{jin2022unveiling}, we showed…

Strongly Correlated Electrons · Physics 2023-08-15 Willian M. H. Natori , Hui-Ke Jin , Johannes Knolle

Spin-noise measurements can serve as direct probe for the microscopic decoherence mechanism of an electronic spin in semiconductor quantum dots (QD).We have calculated the spin-noise spectrum in the anisotropic central spin model using a…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Johannes Hackmann , Frithjof B. Anders

Exploration of topology protected by a certain symmetry is central in condensed matter physics. A recent idea of sub-symmetry-protected (SSP) topology--remains of a broken symmetry can still protect specific topological boundary states--has…

Mesoscale and Nanoscale Physics · Physics 2025-03-19 Myungjun Kang , Mingyu Lee , Sangmo Cheon

We introduce a new representation of an integer spin $S$ via bosonic operators which is useful in describing the paramagnetic phase and transitions to magnetically ordered phases in magnetic systems with large single-ion easy-plane…

Strongly Correlated Electrons · Physics 2012-06-01 Alexey V Sizanov , Arseny V Syromyatnikov

Quantum spin liquids, a highly topologically entangled, dynamically correlated state where quantum fluctuations preclude any long-range ordering down to absolute zero. In the search for a topologically robust qubit, the scientific community…

Strongly Correlated Electrons · Physics 2026-02-11 Vivek Kumar , Pradeep Kumar

Kitaev materials are of great interest due to their potential in realizing quantum spin liquid (QSL) states and applications in topological quantum computing. In the pursuit of realizing Kitaev QSL, a Mott insulator with strong…

Materials Science · Physics 2025-12-30 Yaozhenghang Ma , Ke Yang , Yuxuan Zhou , Hua Wu

Kitaev's honeycomb model is a paradigmatic exactly solvable system hosting a quantum spin liquid with non-Abelian anyons and topologically protected edge modes, offering a platform for fault-tolerant quantum computation. However, real…

Higher-spin quantum magnets with competing interactions offer a rich platform for exploring quantum phases that transcend the paradigms of spin-1/2 systems, owing to their enlarged local Hilbert spaces and the emergence of multipolar…

Strongly Correlated Electrons · Physics 2025-12-23 Zhiling Wei , Zhengzhong Du , Xiaodong Cao , Wen-Long You , Yi Lu

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

The magnetic insulator $\alpha$-RuCl$_{3}$ is a promising candidate to realize Kitaev interactions on a quasi-2D honeycomb lattice. We perform extensive susceptibility measurements on single crystals of $\alpha$-RuCl$_{3}$, including…

Starting from a modified version of the the S=1/2 Kagome antiferromagnet to emphasize the role of elementary triangles, an effective Hamiltonian involving spin and chirality variables is derived. A mean-field decoupling that retains the…

Strongly Correlated Electrons · Physics 2009-10-31 Frederic Mila

Recently, the family of rare-earth chalcohalides were proposed as candidate compounds to realize the Kitaev spin liquid (KSL). In the present work, we firstly propose an effective spin Hamiltonian consistents with the symmetry group of the…

Strongly Correlated Electrons · Physics 2021-09-01 Mengjie Sun , Huihang Lin , Zheng Zhang , Yanzhen Cai , Wei Ren , Jing Kang , Jianting Ji , Feng Jin , Xiaoqun Wang , Rong Yu , Qingming Zhang , Zhengxin Liu

Besides the exactly solvable spin-1/2 Kitaev model, higher spin-$S$ ones, not exactly solvable, are promising playgrounds for researches on the quantum spin liquid as well. One of the main interests in higher spin-S cases is the interplay…

Statistical Mechanics · Physics 2024-07-30 Tohru Mashiko , Tsuyoshi Okubo

We consider an S=1 Heisenberg chain with strong exchange (Delta) and single--ion uniaxial anisotropy (D) in a magnetic field (B) along the symmetry axis. The low energy spectrum is described by an effective S=1/2 XXZ model that acts on two…

Strongly Correlated Electrons · Physics 2009-11-13 Pinaki Sengupta , Cristian D. Batista

A brief survey of some random quantum models with infinite-range couplings is presented, ranging from the quantum Ising model to the Sachdev-Ye-Kitaev model. The Sachdev-Ye-Kitaev model was the first to realize an extensive zero temperature…

High Energy Physics - Theory · Physics 2024-12-24 Subir Sachdev

Many low dimensional spin systems with a dimerized or ladder-like antiferromagnetic exchange coupling have a gapped excitation spectrum with magnetic bound states within the spin gap. For spin ladders with an even number of legs the…

Strongly Correlated Electrons · Physics 2009-10-31 P. Lemmens , M. Fischer , M. Grove , P. H. M. v. Loosdrecht , G. Els , E. Sherman , C. Pinettes , G. Güntherodt
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