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Related papers: Non-Abelian chiral spin liquid on a simple non-Arc…

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Topological chiral phases are ubiquitous in the physics of the Fractional Quantum Hall Effect. Non-chiral topological spin liquids are also well known. Here, using the framework of projected entangled pair states (PEPS), we construct a…

Strongly Correlated Electrons · Physics 2015-07-10 Didier Poilblanc , J. Ignacio Cirac , Norbert Schuch

We propose an exactly solvable quantum spin-1/2 model with time reversal invariance on a two dimensional brick-wall lattice, where each unit cell consists of three sites. We find that the ground states are algebraic quantum spin liquid…

Strongly Correlated Electrons · Physics 2019-04-09 Jian-Jian Miao , Hui-Ke Jin , Fa Wang , Fu-Chun Zhang , Yi Zhou

Nearly two decades ago, Alexei Kitaev proposed a model for spin-$1/2$ particles with bond-directional interactions on a two-dimensional honeycomb lattice which had the potential to host a quantum spin-liquid ground state. This work…

Materials Science · Physics 2022-01-19 Faranak Bahrami , Mykola Abramchuk , Oleg I. Lebedev , Fazel Tafti

Spin-orbital liquids provide an exactly solvable route to three-dimensional Z2 quantum spin liquids beyond the original Kitaev setting. Built from higher-dimensional Clifford-algebra representations, spin-orbital Hamiltonians can be…

Strongly Correlated Electrons · Physics 2026-02-09 Anna Sandberg , Lukas Rødland , Maria Hermanns

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian spin liquid phase in the Kitaev material $\alpha$-$\mathrm{RuCl}_{3}$. Although the platform is a good Mott insulator, we propose experiments that…

Strongly Correlated Electrons · Physics 2020-07-22 David Aasen , Roger S. K. Mong , Benjamin M. Hunt , David Mandrus , Jason Alicea

We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive, in view of realizing and probing non-Abelian chiral spin liquids using quantum simulators. We derive the effective Hamiltonian…

Quantum Gases · Physics 2023-06-29 Bo-Ye Sun , Nathan Goldman , Monika Aidelsburger , Marin Bukov

We study an exactly solvable spin-orbital model that can be regarded as a classical analogue of the celebrated Kitaev honeycomb model and describes interactions between Rydberg atoms on the ruby lattice. We leverage its local and nonlocal…

Strongly Correlated Electrons · Physics 2025-05-09 Weslei B. Fontana , Fabrizio G. Oliviero , Rodrigo G. Pereira , Willian M. H. Natori

The Kitaev model on a honeycomb lattice predicts a paradigmatic quantum spin liquid (QSL) exhibiting Majorana Fermion excitations. The insight that Kitaev physics might be realized in practice has stimulated investigations of candidate…

We show that a classical spin liquid phase can emerge from an ordered magnetic state in the two-dimensional frustrated Shastry-Sutherland Ising lattice due to lateral confinement. Two distinct classical spin liquid states are stabilized (i)…

Statistical Mechanics · Physics 2023-10-11 Pratik Brahma , Sayeef Salahuddin

Despite the presence of the exact solution and well-established recipe for its realization, the quest for the Kitaev spin liquid in real materials remains exceptionally challenging. Among many magnets, $\alpha$-RuCl$_3$ emerges as a prime…

Strongly Correlated Electrons · Physics 2024-12-30 Lingzhi Zhang , Yukitoshi Motome

In this work, we illustrate how a Jordan-Wigner transformation combined with symmetry considerations enables a direct solution of Kitaev's model on the honeycomb lattice. We (i) express the p-wave type fermionic ground states of this system…

Statistical Mechanics · Physics 2009-11-13 Han-Dong Chen , Zohar Nussinov

A quantum spin-liquid might be realized in $\alpha$-RuCl$_{3}$, a honeycomb-lattice magnetic material with substantial spin-orbit coupling. Moreover, $\alpha$-RuCl$_{3}$ is a Mott insulator, which implies the possibility that novel exotic…

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

A formation of tetrahedral spin clusters is discovered by Monte Carlo simulation for a spin-ice type double-exchange model on a pyrochlore lattice. The spin-cluster phase is magnetically disordered, but breaks spatial inversion symmetry…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Yukitoshi Motome

We study spin liquid phases of spin-5/2 alkaline earth atoms on a honeycomb lattice at finite temperatures. Our analysis is based on a Gutzwiller projection variational approach recast to a path-integral formalism. In the framework of a…

Quantum Gases · Physics 2013-10-15 P. Sinkovicz , A. Zamora , E. Szirmai , M. Lewenstein , G. Szirmai

A number of lattices exhibit moat-like band structures, i.e. a band with infinitely degenerate energy minima attained along a closed line in the Brillouin zone. If such a lattice is populated with hard-core bosons, the degeneracy prevents…

Strongly Correlated Electrons · Physics 2015-01-26 Tigran A. Sedrakyan , Leonid I. Glazman , Alex Kamenev

Using quantum chemistry calculations we shed fresh light on the electronic structure and magnetic properties of RuCl3, a proposed realization of the honeycomb Kitaev spin model. It is found that the nearest-neighbor Kitaev exchange K is…

Strongly Correlated Electrons · Physics 2017-01-19 Ravi Yadav , Nikolay A. Bogdanov , Vamshi M. Katukuri , Satoshi Nishimoto , Jeroen van den Brink , Liviu Hozoi

The standard approach to realize a spin liquid state is through magnetically frustrated states, relying on ingredients such as the lattice geometry, dimensionality, and magnetic interaction type of the spins. While Heisenberg spins on a…

Strongly Correlated Electrons · Physics 2025-04-10 Margarita G. Dronova , Vaclav Petricek , Zachary Morgan , Feng Ye , Daniel M. Silevitch , Yejun Feng

Recent experimental work indicates that the Kitaev spin liquid may be realizable close to zero magnetic field in exfoliated $\alpha$-RuCl$_3$ flakes, thus providing a more versatile setting for studying non-Abelian anyons. Here, we propose…

Strongly Correlated Electrons · Physics 2024-10-30 Shang-Shun Zhang , Cristian D. Batista , Gábor B. Halász
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