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Layered honeycomb magnets are of interest as potential realizations of the Kitaev quantum spin liquid (KQSL), a quantum state with long-range spin entanglement and an exactly solvable Hamiltonian. Conventional magnetically ordered states…

Strongly Correlated Electrons · Physics 2020-01-28 Ruidan Zhong , Tong Gao , Nai Phuan Ong , Robert J. Cava

The family of "Kitaev materials" provides an ideal platform to study quantum spin liquids and their neighboring magnetic orders. Motivated by the possibility of a quantum spin liquid ground state in pressurized hyperhoneycomb iridate…

Strongly Correlated Electrons · Physics 2018-05-30 Biao Huang , Wonjune Choi , Yong Baek Kim , Yuan-Ming Lu

Recently it was realized that the zigzag magnetic order in Kitaev materials can be stabilized by small negative off-diagonal interactions called the $\Gamma'$ terms. To fully understand the effect of the $\Gamma'$ interactions, we…

Strongly Correlated Electrons · Physics 2020-10-21 Jiucai Wang , Qirong Zhao , Xiaoqun Wang , Zheng-Xin Liu

We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and characterize potential gapped quantum spin liquid phases that…

Strongly Correlated Electrons · Physics 2017-01-25 Pavel Kos , Matthias Punk

Fifteen years since its inception, the Kitaev model still boasts only a narrow group of material realizations. We review the progress in studying and understanding one of them, lithium iridate Li$_2$IrO$_3$ available in three polymorphs…

Strongly Correlated Electrons · Physics 2022-05-16 Alexander A. Tsirlin , Philipp Gegenwart

In this computational study, we explore a viable route to access the Kitaev-Quantum Spin Liquid (QSL) state in recently synthesized monolayer of a so-called spin-orbit assisted Mott insulator OsCl$_3$. In addition to other magnetic ground…

Strongly Correlated Electrons · Physics 2025-01-14 Qiangqiang Gu , Shishir Kumar Pandey , Yihao Lin

The quantum spin liquid is an enigmatic quantum state in insulating magnets, in which conventional long-range order is suppressed by strong quantum fluctuations. Recently, an unconventional phase transition was reported between the…

Strongly Correlated Electrons · Physics 2018-02-27 Petr A. Mishchenko , Yasuyuki Kato , Yukitoshi Motome

We study the stability of Kitaev quasiparticles in the presence of a perturbing Heisenberg interaction as a Fock space localization phenomenon. We identify parameter regimes where Kitaev states are localized, fractal or delocalized in the…

Strongly Correlated Electrons · Physics 2020-09-08 Aman Kumar , Vikram Tripathi

In the field of quantum magnetism, the exactly solvable Kitaev honeycomb model serves as a paradigm for the fractionalization of spin degrees of freedom and the formation of $\mathbb{Z}_2$ quantum spin liquids. An intense experimental…

Strongly Correlated Electrons · Physics 2019-02-07 Ciarán Hickey , Simon Trebst

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

We point out that the Kitaev materials may not necessarily support Kitaev spin liquid. It is well-known that having a Kitaev term in the spin interaction is not the sufficient condition for the Kitaev spin liquid ground state. Many other…

Strongly Correlated Electrons · Physics 2019-05-22 Yao Dong Li , Xu Yang , Yi Zhou , Gang Chen

Many-body entanglement properties of quantum spin liquids (QSLs), persisting at arbitrarily long distances, have been intensely explored over the past two decades, but mostly for QSLs viewed as {\em closed} quantum systems. However, in…

Strongly Correlated Electrons · Physics 2026-04-23 Federico Garcia-Gaitan , Branislav K. Nikolic

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

The Kitaev-Heisenberg model on the honeycomb lattice has been studied for the purpose of finding exotic states such as quantum spin liquid and topological orders. On the kagome lattice, in spite of a spin-liquid ground state in the…

Strongly Correlated Electrons · Physics 2018-10-31 Katsuhiro Morita , Masanori Kishimoto , Takami Tohyama

The search for a Kitaev quantum spin liquid in crystalline magnetic materials has fueled intense interest in the two-dimensional honeycomb systems. Many promising candidate Kitaev systems are characterized by a long range ordered magnetic…

Strongly Correlated Electrons · Physics 2024-10-16 V. Ovidiu Garlea , Colin L. Sarkis

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

Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the…

Strongly Correlated Electrons · Physics 2016-12-05 M. R. Norman

Materials that realize Kitaev spin models with bond-dependent anisotropic interactions have long been searched for, as the resulting frustration effects are predicted to stabilize novel forms of magnetic order or quantum spin liquids. Here…

Strongly Correlated Electrons · Physics 2014-11-11 A. Biffin , R. D. Johnson , I. Kimchi , R. Morris , A. Bombardi , J. G. Analytis , A. Vishwanath , R. Coldea

Using the approach to quantum entanglement based on the quantum fluctuations of observables, we show the existence of perfect entangled states of a single "spin-1" particle. We give physical examples related to the photons, condensed matter…

Quantum Physics · Physics 2007-05-23 M. Ali Can , Alexander Klyachko , Alexander Shumovsky

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

Strongly Correlated Electrons · Physics 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome
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