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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…

强关联电子 · 物理学 2019-02-07 Ciarán Hickey , Simon Trebst

The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge…

强关联电子 · 物理学 2022-05-20 Jiefu Cen , Hae-Young Kee

Magnetic insulators in the regime of strong spin-orbit coupling exhibit intriguing behaviors in external magnetic fields, reflecting the frustrated nature of their effective interactions. We review the recent advances in understanding the…

强关联电子 · 物理学 2019-07-30 Lukas Janssen , Matthias Vojta

A bond-directional anisotropic exchange interaction, called the Kitaev interaction, is a promising route to realize quantum spin liquids. The Kitaev interactions were found in Mott insulators with the strong spin-orbit coupling, in the…

强关联电子 · 物理学 2020-04-08 Yusuke Sugita , Yasuyuki Kato , Yukitoshi Motome

In transition-metal compounds with partially filled $4d$ and $5d$ shells spin-orbit entanglement, electronic correlations, and crystal-field effects conspire to give rise to a variety of novel forms of topological quantum matter. This…

强关联电子 · 物理学 2017-01-26 Simon Trebst

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…

强关联电子 · 物理学 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

强关联电子 · 物理学 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

Honeycomb iridates are thought to have strongly spin-anisotropic exchange interactions that could lead to an extraordinary state of matter known as the Kitaev quantum spin liquid. The realization of this state requires almost perfectly…

One of the most important issues in modern condensed matter physics is the realization of fractionalized excitations, such as the Majorana excitations in the Kitaev quantum spin liquid. To this aim, the 3d-based Kitaev material Na2Co2TeO6…

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…

强关联电子 · 物理学 2022-03-02 Shang-Shun Zhang , Gábor B. Halász , Cristian D. Batista

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…

强关联电子 · 物理学 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

In the quest for realizations of quantum spin liquids, the exploration of Kitaev materials - spin-orbit entangled Mott insulators with strong bond-directional exchanges - has taken center stage. However, in these materials the local…

Motivated by experiments on spin-orbit coupled magnets with Kitaev exchange in magnetic fields, we present an analysis of the classical Kitaev honeycomb model in the presence of a magnetic field. We show that there is a spin liquid regime…

强关联电子 · 物理学 2026-03-12 Paul A. McClarty , Roderich Moessner , Karlo Penc , Jeffrey G. Rau

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

强关联电子 · 物理学 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

Co-based honeycomb magnets have been actively studied recently for the potential realization of emergent quantum magnetism therein such as the Kitaev spin liquid. Here we employ density functional and dynamical mean-field theory methods to…

强关联电子 · 物理学 2025-08-11 Subhasis Samanta , Fabrizio Cossu , Heung-Sik Kim

Magnetic anisotropies often originate from the spin-orbit coupling and determine magnetic ordering patterns. We develop a microscopic theory for DC electric-field controls of magnetic anisotropies in magnetic Mott insulators and discuss its…

强关联电子 · 物理学 2024-03-15 Shunsuke C. Furuya , Masahiro Sato

We present a theoretical study of field-induced magnetic phases in the honeycomb Kitaev-Heisenberg model, which is believed to describe the essential physics of Mott insulators with strong spin-orbit coupling such as $A_2$IrO$_3$ and…

强关联电子 · 物理学 2017-04-26 Gia-Wei Chern , Yuriy Sizyuk , Craig Price , Natalia B. Perkins

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising…

强关联电子 · 物理学 2020-07-23 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

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…

强关联电子 · 物理学 2017-01-05 Lukas Janssen , Eric C. Andrade , Matthias Vojta

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

强关联电子 · 物理学 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim
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