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Related papers: Engineering the Kitaev spin liquid in a quantum do…

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We present a modification of exactly solvable spin-(1/2) Kitaev model on the decorated honeycomb lattice, with a ground state of "spin metal" type. The model is diagonalized in terms of Majorana fermions; the latter form a 2D gapless state…

Strongly Correlated Electrons · Physics 2013-05-29 K. S. Tikhonov , M. V. Feigel'man

Quantum spin liquids have been at the forefront of correlated electron research ever since their original proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders, along with the fractional…

Strongly Correlated Electrons · Physics 2018-04-26 Ioannis Rousochatzakis , Yuriy Sizyuk , Natalia B. Perkins

Motivated by the possibility of finding a bosonic quantum spin liquid in the integer spin-$S$ Heisenberg-Kitaev model on the honeycomb lattice, we derive a Schwinger boson mean field theory involving both singlet and triplet pairing…

Strongly Correlated Electrons · Physics 2026-05-19 Arnaud Ralko , Jaime Merino

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

Topological insulator phases of non-interacting particles have been generalized from periodic crystals to amorphous lattices, which raises the question whether topologically ordered quantum many-body phases may similarly exist in amorphous…

Strongly Correlated Electrons · Physics 2023-11-01 Gino Cassella , Peru D'Ornellas , Thomas Hodson , Willian M. H. Natori , Johannes Knolle

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

Strongly Correlated Electrons · Physics 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

Strongly Correlated Electrons · Physics 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

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

Kitaev's honeycomb lattice spin model is a remarkable exactly solvable model, which has a particular type of spin liquid (Kitaev spin liquid) as the ground state. Although its possible realization in iridates and $\alpha$-RuCl$_3$ has been…

Strongly Correlated Electrons · Physics 2017-08-07 Masahiko G. Yamada , Hiroyuki Fujita , Masaki Oshikawa

In the search for quantum spin liquids, candidate materials for the Kitaev model and its extensions have been intensively explored during the past decade, as the models realize the exact quantum spin liquids in the ground state. Thus far,…

Strongly Correlated Electrons · Physics 2018-01-22 Ryoya Sano , Yasuyuki Kato , Yukitoshi Motome

One of the most important issues in modern condensed matter physics is the realization of fractionalized excitations, such as the Majorana excitations in the Kitaev quantum spin liquid. To this aim, the 3d-based Kitaev material Na2Co2TeO6…

The Kitaev honeycomb model supports gapless and gapped quantum spin liquid phases. Its exact solvability relies on extensively many locally conserved quantities. Any real-world manifestation of these phases would include imperfections in…

Strongly Correlated Electrons · Physics 2025-01-30 Ihor Yatsuta , David F. Mross

We construct an exactly solvable model of a four-dimensional Kitaev spin liquid. The lattice structure is orthorhombic and each unit-cell contains six sublattice degrees of freedom. We demonstrate that the Fermi surface of the model is made…

Strongly Correlated Electrons · Physics 2026-03-30 Po-Jui Chen , Piers Coleman

The Kitaev spin liquid model on honeycomb lattice offers an intriguing feature that encapsulates both Abelian and non-Abelian anyons. Recent studies suggest that the comprehensive phase diagram of possible generalized Kitaev model largely…

Strongly Correlated Electrons · Physics 2024-02-26 Bowen Yan , Penghua Chen , Shawn X. Cui

The Kitaev spin liquid, stabilized as the ground state of the Kitaev honeycomb model, is a paradigmatic example of a topological $\mathbb{Z}_2$ quantum spin liquid. The fate of the Kitaev spin liquid in presence of an external magnetic…

Strongly Correlated Electrons · Physics 2026-05-04 Will Holdhusen , Daniel Huerga , Gerardo Ortiz

We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method. By tuning the relative value of the Kitaev and Heisenberg exchange…

Strongly Correlated Electrons · Physics 2020-09-16 Xiao-Yu Dong , D. N. Sheng

Spin liquid crystals are magnetic analogs of liquid crystals, possessing properties of both liquids and solids, a typical example of which are spin nematics. Spin nematics share many features with spin liquids, and the interplay between…

Strongly Correlated Electrons · Physics 2023-04-06 Rico Pohle , Nic Shannon , Yukitoshi Motome

Na$_2$IrO$_3$, a honeycomb 5$d^5$ oxide, has been recently identified as a potential realization of the Kitaev spin lattice. The basic feature of this spin model is that for each of the three metal-metal links emerging out of a metal site,…

Co$^{2+}$ ions in an octahedral crystal field, stabilise a j$_{eff}$ = 1/2 ground state with an orbital degree of freedom and have been recently put forward for realising Kitaev interactions, a prediction we have tested by investigating…

Kitaev model has both Abelian and non-Abelian anyonic excitations. It can act as a starting point for topological quantum computation. However, this model Hamiltonian is difficult to implement in natural condensed matter systems. Here we…

Quantum Physics · Physics 2012-09-10 Ze-Liang Xiang , Ting Yu , Wenxian Zhang , Xuedong Hu , J. Q. You