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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

The S=3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state coupled to a static Z$_2$ gauge field. Employing an SO(6) Majorana representation of spin 3/2's, we find an exact representation of the conserved plaquette fluxes…

Strongly Correlated Electrons · Physics 2022-07-07 Hui-Ke Jin , W. M. H. Natori , F. Pollmann , J. Knolle

In addition to the Kitaev ($K$) interaction, candidate Kitaev materials also possess Heisenberg ($J$) and off-diagonal symmetric ($\Gamma$) couplings. We investigate the quantum ($S = 1/2$) $K$-$J$-$\Gamma$ model on the honeycomb lattice by…

Strongly Correlated Electrons · Physics 2019-11-14 Jiucai Wang , B. Normand , Zheng-Xin Liu

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

Contrary to the original expectation, Na$_2$IrO$_3$ is not a Kitaev's quantum spin liquid (QSL) but shows a zig-zag-type antiferromagnetic order in experiments. Here we propose experimental clues and criteria to measure how a material in…

Strongly Correlated Electrons · Physics 2016-06-01 Youhei Yamaji , Takafumi Suzuki , Takuto Yamada , Sei-ichiro Suga , Naoki Kawashima , Masatoshi Imada

The Kitaev chiral spin liquid has captured widespread interest in recent decades because of its intrinsic non-Abelian excitations, yet the experimental realization is challenging. Here we propose to realize and detect Kitaev chiral spin…

Strongly Correlated Electrons · Physics 2024-12-09 Yi-Hong Chen , Bao-Zong Wang , Ting-Fung Jeffrey Poon , Xin-Chi Zhou , Zheng-Xin Liu , Xiong-Jun Liu

After decades of progress and effort, obtaining a phase diagram for a strongly-correlated topological system still remains a challenge. Although in principle one could turn to Wilson loops and long-range entanglement, evaluating these…

Strongly Correlated Electrons · Physics 2017-12-14 Yi Zhang , Roger G. Melko , Eun-Ah Kim

Unambiguous identification of fractionalized excitations in quantum spin liquids has been a long-standing issue in correlated topological phases. Conventional spectroscopic probes, such as the dynamical spin structure factor, can only…

Strongly Correlated Electrons · Physics 2021-10-11 Wonjune Choi , Ki Hoon Lee , Yong Baek Kim

The quasi two-dimensional Mott insulator $\alpha$-RuCl$_3$ is proximate to the sought-after Kitaev quantum spin liquid (QSL). In a layer of $\alpha$-RuCl$_3$ on graphene the dominant Kitaev exchange is further enhanced by strain. Recently,…

Strongly Correlated Electrons · Physics 2021-03-24 V. Leeb , K. Polyudov , S. Mashhadi , S. Biswas , Roser Valenti , M. Burghard , J. Knolle

Chiral spin liquids (CSLs) are time-reversal symmetry breaking ground states of frustrated quantum magnets that show no long-range magnetic ordering, but instead exhibit topological order and fractional excitations. Their realization in…

A prominent feature of quantum spin liquids is fractionalization of the spin degree of freedom. Fractionalized excitations have their own dynamics in different energy scales, and hence, affect finite-temperature ($T$) properties in a…

Strongly Correlated Electrons · Physics 2017-08-04 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

Quantum spin liquids (QSL) are exotic phases of matter that host fractionalized excitations. It is difficult for local probes to characterize QSL, whereas quantum entanglement can serve as a powerful diagnostic tool due to its non-locality.…

Strongly Correlated Electrons · Physics 2018-11-30 Wei Zhu , Xiao Chen , Yin-Chen He , William Witczak-Krempa

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

The quest for quantum spin liquids has garnered significant attention due to their rich physics and disruptive prospects in quantum communication and computation. Spin-orbit coupling, electron correlation, and structural distortion play…

Strongly Correlated Electrons · Physics 2024-12-24 Deepak K Roy , Mukul Kabir

The Kitaev model, which hosts a quantum spin liquid (QSL) in the ground state, was originally defined on a two-dimensional honeycomb lattice, but can be straightforwardly extended to any tricoordinate lattices in any spatial dimensions. In…

Strongly Correlated Electrons · Physics 2023-05-29 Kiyu Fukui , Yasuyuki Kato , Yukitoshi Motome

The characterization of quantum spin liquid phases in Kitaev materials has been a subject of intensive studies over the recent years, both theoretically and experimentally. Most theoretical studies have focused on an isotropically…

Strongly Correlated Electrons · Physics 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki

The possibility to engineer a Kitaev chain in quantum dots coupled via superconductors has recently emerged as a promising path toward topological superconductivity and possibly nonabelian physics. Here, we show that it is possible to avoid…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 William Samuelson , Viktor Svensson , Martin Leijnse

The Kitaev model is a remarkable spin model with gapped and gapless spin liquid phases, which are potentially realized in iridates and $\alpha$-RuCl$_3$. In the recent experiment of $\alpha$-RuCl$_3$, the signature of a nematic transition…

Strongly Correlated Electrons · Physics 2021-07-21 Masahiko G. Yamada , 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 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
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