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Related papers: Models and Materials for Generalized Kitaev Magnet…

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Finding new materials with antiferromagnetic (AFM) Kitaev interaction is an urgent issue to broaden and enrich the quantum magnetism research significantly. By carrying out inelastic neutron scattering experiments and subsequent analysis,…

We present a theoretical study of the static and dynamical properties of the Kitaev magnet $\beta$-Li$_2$IrO$_3$ based on the minimal $J$-$K$-$\Gamma$ model. We argue that the incommensurate magnetic order of $\beta$-Li$_2$IrO$_3$ can be…

Strongly Correlated Electrons · Physics 2018-03-20 Samuel Ducatman , Ioannis Rousochatzakis , Natalia B. Perkins

Spin-orbit coupled honeycomb magnets with the Kitaev interaction have received a lot of attention due to their potential of hosting exotic quantum states including quantum spin liquids. Thus far, the most studied Kitaev systems are…

We consider the exchange couplings present in an effective Hamiltonian of $\alpha$-RuCl$_3$, known as the K-$\Gamma$ model. This material has a honeycomb lattice, and is expected to be a representative of the Kitaev materials (which can…

Strongly Correlated Electrons · Physics 2022-04-19 Ipsita Mandal

The detection of considerable spin frustration in honeycomb cobalt oxide compounds indicates the presence of sizable Kitaev interactions in these systems, enlarging the pool of Kitaev spin liquid candidates. Several key questions remain to…

Strongly Correlated Electrons · Physics 2026-04-07 Pritam Bhattacharyya , Abdul Basit , Thorben Petersen , Stephan Rachel , Satoshi Nishimoto , Liviu Hozoi

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

We review the recent advances and current challenges in the field of strong spin-orbit coupled Kitaev materials, with a particular emphasis on the physics beyond the exactly-solvable Kitaev spin liquid point. To that end, we give a…

Strongly Correlated Electrons · Physics 2024-04-25 Ioannis Rousochatzakis , Natalia B. Perkins , Qiang Luo , Hae-Young Kee

Quantum spin liquids (QSLs) form an extremely unusual magnetic state in which the spins are highly correlated and fluctuate coherently down to the lowest temperatures, but without symmetry breaking and without the formation of any static…

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…

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

The 3$d^7$ Co$^{2+}$-based insulating magnet \NCTO{} has recently been reported to have strong Kitaev interactions on a honeycomb lattice, and is thus being considered as a Kitaev quantum spin liquid candidate. However, due to the existence…

Iridates are characterized by a fascinating interplay of spin-orbit and electron-electron interactions. The honeycomb-lattice materials A2IrO3 (A=Na,Li) have been proposed to realize pseudospin-1/2 Mott insulating states with strongly…

Strongly Correlated Electrons · Physics 2014-11-11 Eric C. Andrade , Matthias Vojta

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…

We study the ordered moment direction in the extended Kitaev-Heisenberg model relevant to honeycomb lattice magnets with strong spin-orbit coupling. We utilize numerical diagonalization and analyze the exact cluster groundstates using a…

Strongly Correlated Electrons · Physics 2016-09-01 Jiří Chaloupka , Giniyat Khaliullin

In the quest for materials hosting Kitaev spin liquids, much of the efforts have been focused on the fourth- and fifth-row transition metal compounds, which are spin-orbit coupling assisted Mott insulators. Here, we study the structural and…

Strongly Correlated Electrons · Physics 2022-12-20 Shishir Kumar Pandey , Ji Feng

The pure Kitaev honeycomb model harbors a quantum spin liquid in zero magnetic fields, while applying finite magnetic fields induces a topological spin liquid with non-Abelian anyonic excitations. This latter phase has been much sought…

Strongly Correlated Electrons · Physics 2020-03-31 Dirk Wulferding , Youngsu Choi , Seung-Hwan Do , Chan Hyeon Lee , Peter Lemmens , Clement Faugeras , Yann Gallais , Kwang-Yong Choi

Quantum spin liquids (QSLs) host a variety of fractionalized particles. In Kitaev's paradigmatic honeycomb model a spin-$\tfrac{1}{2}$ fractionalizes into $Z_2$ flux due to emergent $Z_2$ gauge field and matter Majorana fermions. Although…

Strongly Correlated Electrons · Physics 2026-01-22 Shi Feng , Nandini Trivedi

The honeycomb lattice iridates $A_2$IrO$_3$ ($A =$ Na, Li) are candidates for realization of the Kitaev-Heisenberg model although their proximity to Kitaev's quantum Spin-Liquid (QSL) is still debated. We report on heat capacity $C$ and…

Strongly Correlated Electrons · Physics 2017-04-12 K. Mehlawat , A. Thamizhavel , Yogesh Singh

Highly frustrated spin systems represent a central and challenging problem in condensed mater physics. To this problem, we introduce an algorithm based on mixed projected entangled pair states (m-PEPS), which is a novel type of tensor…

Strongly Correlated Electrons · Physics 2013-05-03 Huan He , Zhen Wang , Chuanfeng Li , YongJian Han , Guangcan Guo

Honeycomb lattice Kitaev magnets exhibit exotic magnetic properties governed by the Kitaev interaction. This study delves into $\alpha$-RuCl$_3$, a prototypical example described by effective Hamiltonians encompassing bond-dependent Kitaev…

Strongly Correlated Electrons · Physics 2025-05-29 Hamid Mosadeq , Mohammad-Hossein Zare