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Related papers: Classical Kitaev model in a magnetic field

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Temperature evolution of the spin correlation and excitation spectrum is investigated for a Kitaev model defined on a decorated honeycomb lattice by using the quantum Monte Carlo simulation in the Majorana fermion representation. The ground…

Strongly Correlated Electrons · Physics 2016-02-17 Joji Nasu , Yukitoshi Motome

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

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

The relaxation dynamics of the Kitaev honeycomb model under a thermal quench is dominated by the quasi-stochastic diffusion and pair annihilation of visions, which are gapped flux excitations of an emergent $\mathbb{Z}_2$ gauge field of the…

Strongly Correlated Electrons · Physics 2025-07-08 Yang Yang , Gia-Wei Chern

While $U$(1) spin liquids have been extensively studied in both quantum and classical regimes, exact classical $\mathbb{Z}_2$ spin liquids arising from models with nearest-neighbor, bilinear spin interactions are still rare. In this Letter,…

Strongly Correlated Electrons · Physics 2025-03-12 Han Yan , Rico Pohle

The Kitaev honeycomb model (KHM) consists of spin-$1/2$ particles on a honeycomb lattice with direction-dependent Ising-like interactions. It can alternatively be described in terms of non-interacting Majorana fermions, can be solved…

Strongly Correlated Electrons · Physics 2025-07-10 Alexander Sattler , Maria Daghofer

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…

Strongly Correlated Electrons · Physics 2025-08-11 Subhasis Samanta , Fabrizio Cossu , Heung-Sik Kim

We present terahertz spectroscopic measurements of quantum spin dynamics in the honeycomb magnet K$_2$Co$_2$TeO$_6$ as a function of temperature, polarization and in an external magnetic field applied in the honeycomb plane. Magnetic…

Strongly Correlated Electrons · Physics 2025-08-01 Patrick Pilch , Laur Peedu , Urmas Nagel , Toomas Rõõm , Changqing Zhu , Yurii Skourski , Xianghan Xu , Robert J. Cava , Zhe Wang

We study the dynamical thermal conductivity of the two-dimensional Kitaev spin-model on the honeycomb lattice. We find a strongly temperature dependent low-frequency spectral intensity as a direct consequence of fractionalization of spins…

Strongly Correlated Electrons · Physics 2017-11-22 Alexandros Metavitsiadis , Angelo Pidatella , Wolfram Brenig

We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave…

Quantum Gases · Physics 2015-06-12 Alexey V. Gorshkov , Kaden R. A. Hazzard , Ana Maria Rey

Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a…

Strongly Correlated Electrons · Physics 2019-06-11 Jacob S. Gordon , Andrei Catuneanu , Erik S. Sørensen , Hae-Young Kee

The present studies show that long-range magnetic order takes place in RuBr$_3$ at $\approx$ 34 K. The observations of clear oscillations in the muon time spectra demonstrate the presence of well-defined internal fields at the muon sites.…

Strongly Correlated Electrons · Physics 2024-02-27 T. Weinhold , C. Wang , F. Seewald , V. Grinenko , Y. Imai , F. Sato , K. Ohgushi , H. -H. Klauss , R. Sarkar

Multipolar spin systems provide a rich ground for the emergence of unexpected states of matter due to their enlarged spin degree of freedom. In this study, with a specific emphasis on $S=1$ magnets, we explore the interplay between spin…

Strongly Correlated Electrons · Physics 2024-08-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

The exactly solvable spin-1/2 Kitaev model on a honeycomb lattice has drawn significant interest, as it offers a pathway to realizing the long-sought after quantum spin liquid. Building upon the Kitaev model, Yao and Lee introduced another…

Strongly Correlated Electrons · Physics 2025-03-12 Derek Churchill , Emily Z. Zhang , Hae-Young Kee

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

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

Recent studies have brought $\alpha$-RuCl$_3$ to the forefront of experimental searches for materials realizing Kitaev spin-liquid physics. This material exhibits strongly anisotropic exchange interactions afforded by the spin-orbit…

Strongly Correlated Electrons · Physics 2018-02-21 Stephen M. Winter , Kira Riedl , David Kaib , Radu Coldea , Roser Valenti

Building on the recent advancements on moir\'e superlattices, we propose an exactly solvable model with Kitaev-type interactions on a bilayer honeycomb lattice for both AA stacking and moir\'e superlattices. Using Monte Carlo simulations…

Strongly Correlated Electrons · Physics 2025-12-10 Ivan Dutta , Anamitra Mukherjee , Onur Erten , Kush Saha

We study the Kitaev spin-$1/2$ ladder, a model which exhibits self-localization due to fractionalization caused by exchange frustration. When a weak magnetic field is applied, the model is described by an effective fermionic Hamiltonian,…

Strongly Correlated Electrons · Physics 2021-05-12 Alexandros Metavitsiadis , Wolfram Brenig

Recently, Co-based honeycomb magnets have been proposed as promising candidate materials to host the Kitaev spin liquid state. One of the front-runners is BaCo$_2$(AsO$_4$)$_2$ (BCAO), where it was suggested that the exchange processes…