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We construct a topological spin liquid (TSL) model on the kagome lattice, with SU(3) symmetry with the fundamental representation at each lattice site, based on Projected Entangled Pair States (PEPS). Using the PEPS framework, we can…

Strongly Correlated Electrons · Physics 2019-01-14 Ivana Kurecic , Laurens Vanderstraeten , Norbert Schuch

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

While the existence of a chiral spin liquid (CSL) on a class of spin-1/2 kagome antiferromagnets is by now well-established numerically, a controlled theoretical path from the lattice model leading to a low energy topological field theory…

Strongly Correlated Electrons · Physics 2016-01-06 Yin-Chen He , Subhro Bhattacharjee , Frank Pollmann , R. Moessner

The fate of exotic spin liquid states with fractionalized excitations at finite temperature ($T$) is of great interest, since signatures of fractionalization manifest in finite-temperature ($T$) dynamics in real systems, above the tiny…

Strongly Correlated Electrons · Physics 2017-04-20 Subhasree Pradhan , M. S. Laad , Avijeet Ray , T. Maitra , A. Taraphder

It is now well established that the Kitaev honeycomb model in a magnetic field along the $[111]$-direction harbors an intermediate gapless quantum spin liquid (QSL) phase sandwiched between a gapped non-abelian QSL at low fields $H< H_{c1}$…

Strongly Correlated Electrons · Physics 2020-05-13 Subhasree Pradhan , Niravkumar D. Patel , Nandini Trivedi

Transitions between quantum spin liquids (QSLs) are fundamental problems lying beyond the Landau paradigm and requiring a deep understanding of the entanglement structures of QSLs called topological orders. The novel concept of anyon…

Strongly Correlated Electrons · Physics 2024-04-10 Kyusung Hwang

The Kitaev spin liquid provides a rare example of well-established quantum spin liquids in more than one dimension. It is obtained as the exact ground state of the Kitaev spin model with bond-dependent anisotropic interactions. The peculiar…

Strongly Correlated Electrons · Physics 2020-07-14 Y. Motome , R. Sano , S. -H. Jang , Y. Sugita , Y. Kato

Motivated by the three-dimensional structure of Kitaev materials we explore multilayer Kitaev models. The magnetic properties of a multilayer of an arbitrary number of Kitaev honeycomb layers stacked on top of each other coupled through a…

Strongly Correlated Electrons · Physics 2025-03-05 Jaime Merino , Arnaud Ralko

The topological quantum spin liquids (SL) and the nature of quantum phase transitions between them have attracted intensive attentions for the past twenty years. The extended kagome spin-1/2 antiferromagnet emerges as the primary candidate…

Strongly Correlated Electrons · Physics 2015-08-05 W. Zhu , S. S. Gong , D. N. Sheng

Besides the exactly solvable spin-1/2 Kitaev model, higher spin-$S$ ones, not exactly solvable, are promising playgrounds for researches on the quantum spin liquid as well. One of the main interests in higher spin-S cases is the interplay…

Statistical Mechanics · Physics 2024-07-30 Tohru Mashiko , Tsuyoshi Okubo

Recent experimental evidence for a field-induced quantum spin liquid (QSL) in $\alpha$-RuCl$_3$ calls for an understanding for the ground state of honeycomb Kitaev model under a magnetic field. In this work we address the nature of an…

Strongly Correlated Electrons · Physics 2018-10-04 Hong-Chen Jiang , Chang-Yan Wang , Biao Huang , Yuan-Ming Lu

We analyze the Kitaev model on the $\{9,3\}$ hyperbolic lattice. The $\{9,3\}$ is formed by a regular tricoordinated tiling of nonagons, where the 3-color coding of bonds according to the inequivalent Kitaev Ising spin couplings yields the…

Strongly Correlated Electrons · Physics 2025-07-01 Felix Dusel , Tobias Hofmann , Atanu Maity , Rémy Mosseri , Julien Vidal , Yasir Iqbal , Martin Greiter , Ronny Thomale

We study the spin transport through the quantum spin liquid (QSL) by investigating the real-time and real-space dynamics of the Kitaev spin system with a zigzag structure in terms of the time-dependent Majorana mean-field theory. After the…

Strongly Correlated Electrons · Physics 2020-07-27 Tetsuya Minakawa , Yuta Murakami , Akihisa Koga , Joji Nasu

We point out that the Kitaev materials may not necessarily support Kitaev spin liquid. It is well-known that having a Kitaev term in the spin interaction is not the sufficient condition for the Kitaev spin liquid ground state. Many other…

Strongly Correlated Electrons · Physics 2019-05-22 Yao Dong Li , Xu Yang , Yi Zhou , Gang Chen

Motivated by the observation of a gapless spin liquid state in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, we analyze the anisotropic triangular lattice $S=1/2$ Heisenberg model with the resonating valence bond mean-field approximation. Paying…

Strongly Correlated Electrons · Physics 2007-06-13 Yuta Hayashi , Masao Ogata

Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) $\gamma$. We show that for gapped quantum spin liquids (QSL) it is possible to extract $\gamma$ using two-spin…

Strongly Correlated Electrons · Physics 2022-10-17 Shi Feng , Yanjun He , Nandini Trivedi

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…

Strongly Correlated Electrons · Physics 2019-02-07 Ciarán Hickey , Simon Trebst

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

Frustrated quantum magnets can harbor unconventional spin liquid ground states in which the elementary magnetic moments fractionalize into new emergent degrees of freedom. While the fractionalization of quantum numbers is one of the…

Strongly Correlated Electrons · Physics 2016-07-12 Kevin O'Brien , Maria Hermanns , Simon Trebst