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Related papers: Disentangling Kitaev Quantum Spin Liquid

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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…

We present a general computational framework to investigate ground state properties of quantum spin models on infinite two-dimensional lattices using automatic differentiation-based gradient optimization of infinite projected entangled-pair…

Computational Physics · Physics 2023-08-08 Xing-Yu Zhang , Shuang Liang , Hai-Jun Liao , Wei Li , Lei Wang

Quantum spin liquids have fascinated condensed matter physicists for decades because of their unusual properties such as spin fractionalization and long-range entanglement. Unlike conventional symmetry breaking the topological order…

Strongly Correlated Electrons · Physics 2018-03-22 Maria Hermanns , Itamar Kimchi , Johannes Knolle

In the study of quantum spin liquids, the Kitaev model plays a pivotal role due to the fact that its ground state is exactly known as well as the fact that it may be realized in strongly frustrated materials such as ${\alpha}$-RuCl${}_3$.…

Strongly Correlated Electrons · Physics 2025-05-13 Axel Fünfhaus , Mikel García-Díez , M. G. Vergniory , Thilo Kopp , Stephen M. Winter , Roser Valentí

We investigate the non-Abelian topological chiral spin liquid phase in the two-dimensional (2D) Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group (DMRG) and exact diagonalization (ED) we…

Strongly Correlated Electrons · Physics 2018-06-27 Zheng Zhu , Itamar Kimchi , D. N. Sheng , Liang Fu

Chiral spin liquids (CSLs) in three dimensions and thermal phase transitions to paramagnet are studied by unbiased Monte Carlo simulations. For an extension of the Kitaev model to a three-dimensional tricoordinate network dubbed the…

Strongly Correlated Electrons · Physics 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

Using superconducting quantum circuit elements, we propose an approach to experimentally construct a Kitaev lattice, which is an anisotropic spin model on a honeycomb lattice with three types of nearest-neighbor interactions and having…

Superconductivity · Physics 2010-07-21 J. Q. You , Xiao-Feng Shi , Xuedong Hu , Franco Nori

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

We investigate topological gauge-theory terms and quantum criticality in a spin-1 Kitaev chain with general single-ion anisotropies (SIAs). The ground-state phase diagram, including the Kitaev spin liquid (KSL) and gapless dimer phases, is…

Strongly Correlated Electrons · Physics 2024-10-28 Wen-Yi Zhang , Qing-Min Hu , Jie Ren , Liangsheng Li , Wen-Long You

Quantum circuits provide an emerging controllable platform to realize novel dynamical non-equilibrium phases including topologically ordered states. The Kitaev model has become a cornerstone of quantum magnetism due to its quantum spin…

Strongly Correlated Electrons · Physics 2025-11-26 Tushya Kalpada , Aayush Vijayvargia , Ezra Day-Roberts , Onur Erten

We study the extent of the spin liquid phases in the Kitaev-Heisenberg model using infinite Projected Entangled-Pair States tensor network ansatz wave functions directly in the thermodynamic limit. To assess the accuracy of the ansatz wave…

Strongly Correlated Electrons · Physics 2014-12-01 Juan Osorio Iregui , Philippe Corboz , Matthias Troyer

Spin systems with honeycomb structures have recently attracted a great deal of attention in connection with the Kitaev quantum spin liquid state (QSL) predicted theoretically. One possible Kitaev QSL candidate is Na$_2$Co$_2$TeO$_6$…

Strongly Correlated Electrons · Physics 2023-12-11 A. K. Bera , S. M. Yusuf , F. Orlandi , P. Manuel , L. Bhaskaran , S. A. Zvyagin

The ground state of the Kitaev quantum spin liquid on a honeycomb lattice is an intriguing many-body state characterized by its topological order and massive entanglement. One of the significant issues is to prepare and manipulate the…

Strongly Correlated Electrons · Physics 2025-12-05 Seongjun Park , Eun-Gook Moon

The bond-dependent Kitaev model on the honeycomb lattice with anyonic excitations has recently attracted considerable attention. However, in solid state materials other spin interactions are present, and among such additional interactions,…

Strongly Correlated Electrons · Physics 2021-01-27 Erik S. Sørensen , Andrei Catuneanu , Jacob Gordon , Hae-Young Kee

We present numerical evidence for the presence of a finite-temperature ($T$) phase transition separating paramagnet and quantum spin liquid in a three-dimensional variant of the Kitaev model defined on a hyperhoneycomb lattice in the limit…

Strongly Correlated Electrons · Physics 2015-06-17 J. Nasu , T. Kaji , K. Matsuura , M. Udagawa , Y. Motome

We study the Kitaev-Heisenberg-$\Gamma$ model with antiferromagnetic Kitaev exchanges in the strong anisotropic (toric code) limit to understand the phases and the intervening phase transitions between the gapped $Z_2$ quantum spin liquid…

Strongly Correlated Electrons · Physics 2021-11-24 Animesh Nanda , Adhip Agarwala , Subhro Bhattacharjee

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases…

Strongly Correlated Electrons · Physics 2018-08-15 Masanori Kishimoto , Katsuhiro Morita , Yukihiro Matsubayashi , Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

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…

Strongly Correlated Electrons · Physics 2022-05-20 Jiefu Cen , Hae-Young Kee

We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin…

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