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Related papers: Crystalline Kitaev spin liquids

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Pyrochlore magnets have proven to provide an excellent arena for the realization of a variety of many-body phenomena such as classical and quantum order-by-disorder, as well as spin liquid phases described by emergent gauge field theories.…

Strongly Correlated Electrons · Physics 2025-02-21 Niccolò Francini , Lukas Janssen , Daniel Lozano-Gómez

The existence of a quantum spin liquid (QSL) in which quantum fluctuations of spins are sufficiently strong to preclude spin ordering down to zero temperature was originally proposed theoretically more than 40 years ago, but its…

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations,…

Strongly Correlated Electrons · Physics 2025-08-25 Patrick M. Lenggenhager , Santanu Dey , Tomáš Bzdušek , Joseph Maciejko

Anderson proposed structural topology in frustrated magnets hosting novel quantum spin liquids (QSLs). The QSL state is indeed exactly derived by fractionalizing the spin excitation into spinless Majorana fermions in a perfect two…

The breaking of chiral and time-reversal symmetries provides a pathway to exotic quantum phenomena and topological phases. In particular, the breaking of chiral (mirror) symmetry in quantum materials has been shown to have important…

Strongly Correlated Electrons · Physics 2023-02-13 Anjishnu Bose , Arijit Haldar , Erik S. Sørensen , Arun Paramekanti

Most materials freeze when cooled to sufficiently low temperature. We find that magnetic dipoles randomly distributed in a solid matrix condense into a spin liquid with spectral properties on cooling that are the diametric opposite of those…

Condensed Matter · Physics 2009-11-10 S. Ghosh , R. Parthasarathy , T. F. Rosenbaum , G. Aeppli

Honeycomb iridates are thought to have strongly spin-anisotropic exchange interactions that could lead to an extraordinary state of matter known as the Kitaev quantum spin liquid. The realization of this state requires almost perfectly…

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

Recent numerical studies indicate that the antiferromagnetic Kitaev honeycomb lattice model undergoes a magnetic-field-induced quantum phase transition into a new spin-liquid phase. This intermediate-field phase has been previously…

Strongly Correlated Electrons · Physics 2022-03-02 Shang-Shun Zhang , Gábor B. Halász , Cristian D. Batista

Kitaev quantum spin liquid is a topological magnetic quantum state characterized by Majorana fermions of fractionalized spin excitations, which are identical to their own antiparticles. Here, we demonstrate emergence of Majorana fermions…

The search for a Kitaev quantum spin liquid in crystalline magnetic materials has fueled intense interest in the two-dimensional honeycomb systems. Many promising candidate Kitaev systems are characterized by a long range ordered magnetic…

Strongly Correlated Electrons · Physics 2024-10-16 V. Ovidiu Garlea , Colin L. Sarkis

Despite rapid progress in understanding gapped topological states, much less is known about gapless topological phases of matter, especially in strongly correlated electrons. In this work we discuss a large class of robust gapless quantum…

Strongly Correlated Electrons · Physics 2018-03-23 Yuan-Ming Lu

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Spiral spin liquids are unique classical spin liquids that occur in many frustrated spin systems, but do not comprise a new phase of matter. Owing to extensive classical ground-state degeneracy, the spins in a spiral spin liquid thermally…

Strongly Correlated Electrons · Physics 2021-06-01 Xu-Ping Yao , Jian Qiao Liu , Chun-Jiong Huang , Xiaoqun Wang , Gang Chen

The Kitaev model belongs to an unconventional class of two-dimensional spin systems characterized by anisotropic, bond-dependent interactions that give rise to Quantum Spin Liquid (QSL) states. These exotic phases, marked by the absence of…

Strongly Correlated Electrons · Physics 2026-01-29 A. R. Moura , L. V. Santos

A geometrically frustrated (GF) magnet consists of localised magnetic moments, spins, whose orientation cannot be arranged to simultaneously minimise their interaction energies. Such materials may host novel fascinating phases of matter,…

Strongly Correlated Electrons · Physics 2022-06-08 S. V. Syzranov , A. P. Ramirez

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising…

Strongly Correlated Electrons · Physics 2020-07-23 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

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

Building on recent advancements in altermagnetism, we develop a highly-frustrated magnetic model with Kitaev-like interactions that integrates key aspects of both quantum spin liquids and altermagnets. While the ground state is a gapless…

Strongly Correlated Electrons · Physics 2025-03-14 Aayush Vijayvargia , Ezra Day-Roberts , Antia S. Botana , Onur Erten

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…

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