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Related papers: Electric probe for the toric code phase in Kitaev …

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We propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana…

Strongly Correlated Electrons · Physics 2021-06-16 Masahiro O. Takahashi , Masahiko G. Yamada , Daichi Takikawa , Takeshi Mizushima , Satoshi Fujimoto

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…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

We investigate the nature of the topological quantum phase transition between the gapless and gapped Kitaev quantum spin liquid phases away from the exactly solvable point. The transition is driven by anisotropy of the Kitaev couplings. At…

Strongly Correlated Electrons · Physics 2024-10-03 Huanzhi Hu , Frank Krüger

Kitaev magnets have emerged as pivotal systems for investigating frustrated magnetism, providing a unique platform to explore quantum phases governed by the interplay between bond-dependent anisotropy and external magnetic fields. However,…

Strongly Correlated Electrons · Physics 2026-01-13 Shuai Liu , Hao Wu , Jinbin Li , Xiaoqun Wang , Qiang Luo

It is well-known that the partition function of a classical spin model can be mapped to a quantum entangled state where some properties on one side can be used to find new properties on the other side. However, the consequences of the…

Quantum Physics · Physics 2019-05-13 Mohammad Hossein Zarei , Afshin Montakhab

Motivated by the magnetic phase transition of a proximate Kitaev system $\alpha$-RuCl$_3$ in the presence of a magnetic field, we study the simplest but essential quantum spin model with the ferromagnetic nearest neighboring (NN) Kitaev…

Strongly Correlated Electrons · Physics 2020-10-14 Beom Hyun Kim , Shigetoshi Sota , Tomonori Shirakawa , Seiji Yunoki , Young-Woo Son

We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in the presence of local perturbations. For N=2, this model reduces to the conventional toric code in a uniform magnetic field. A quantitative analysis…

Statistical Mechanics · Physics 2012-03-07 M. D. Schulz , S. Dusuel , R. Orus , J. Vidal , K. P. Schmidt

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

Strongly Correlated Electrons · Physics 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

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…

The Kitaev honeycomb model is an approximate topological quantum error correcting code in the same phase as the toric code, but requiring only a 2-body Hamiltonian. As a frustrated spin model, it is well outside the commuting models of…

Quantum Physics · Physics 2017-09-01 Yi-Chan Lee , Courtney Brell , Steven T. Flammia

Quantum spin liquids can arise from Kitaev magnetic interactions, and exhibit fractionalized excitations with the potential for a topological form of quantum computation. This review surveys recent experimental and theoretical progress on…

The higher-spin Kitaev magnets, in which the Kitaev interaction and off-diagonal exchange couplings are overwhelmingly large, have emerged as a fertile avenue to explore exotic phases and unusual excitations. In this work, we study the…

Strongly Correlated Electrons · Physics 2024-07-12 Qiang Luo , Jize Zhao , Jinbin Li , Xiaoqun Wang

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

The Kitaev surface-code model is the most studied example of a topologically ordered phase and typically involves four-spin interactions on a two-dimensional surface. A universal signature of this phase is topological entanglement entropy…

Quantum Physics · Physics 2014-08-29 Tommaso F. Demarie , Trond Linjordet , Nicolas C. Menicucci , Gavin K. Brennen

The frustrated magnet $\alpha$-RuCl$_3$ constitutes a fascinating quantum material platform that harbors the intriguing Kitaev physics. However, a consensus on its intricate spin interactions and field-induced quantum phases has not been…

Strongly Correlated Electrons · Physics 2021-07-16 Han Li , Hao-Kai Zhang , Jiucai Wang , Han-Qing Wu , Yuan Gao , Dai-Wei Qu , Zheng-Xin Liu , Shou-Shu Gong , Wei Li

Thermalisation is a probabilistic process. As such, it is generally expected that when we increase the temperature of a system its classical behaviour dominates its quantum coherences. By employing the Gibbs state of a translationally…

Strongly Correlated Electrons · Physics 2019-01-29 Chris N. Self , Johannes Knolle , Sofyan Iblisdir , Jiannis K. Pachos

Quantum spin liquids, exotic phases of matter with topological order, have been a major focus of explorations in physical science for the past several decades. Such phases feature long-range quantum entanglement that can potentially be…

Kitaev materials are promising materials for hosting quantum spin liquids and investigating the interplay of topological and symmetry-breaking phases. We use an unsupervised and interpretable machine-learning method, the tensorial-kernel…

Strongly Correlated Electrons · Physics 2021-04-06 Ke Liu , Nicolas Sadoune , Nihal Rao , Jonas Greitemann , Lode Pollet

While phase transitions between magnetic analogs of three states of matter --- a long-range ordered state, paramagnet, and spin liquid --- have been extensively studied, the possibility of "liquid-liquid" transitions, namely, between…

Strongly Correlated Electrons · Physics 2017-04-05 Joji Nasu , Yasuyuki Kato , Junki Yoshitake , Yoshitomo Kamiya , 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…

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