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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…

强关联电子 · 物理学 2016-07-12 Kevin O'Brien , Maria Hermanns , Simon Trebst

The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

强关联电子 · 物理学 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

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,…

强关联电子 · 物理学 2026-01-13 Shuai Liu , Hao Wu , Jinbin Li , Xiaoqun Wang , Qiang Luo

Magnetic fields can give rise to a plethora of phenomena in Kitaev spin systems, such as the formation of non-trivial spin liquids in two and three spatial dimensions. For the original honeycomb Kitaev model, it has recently been observed…

强关联电子 · 物理学 2020-07-01 Christoph Berke , Simon Trebst , Ciarán Hickey

The excitation spectrum of Kitaev quantum spin liquids consists of itinerant Majorana fermions, which can be gapless or gapped, and vortices of a $\mathbb{Z}_2$ gauge field, known as visons, which are always gapped. In this work, we…

强关联电子 · 物理学 2026-04-28 Caio V. S. Soares , Rodrigo G. Pereira

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

强关联电子 · 物理学 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

We investigate the nature of the topological quantum phase transition between the gapless and gapped Kitaev quantum spin liquid phases away from the exactly solvable point. The transition is driven by anisotropy of the Kitaev couplings. At…

强关联电子 · 物理学 2024-10-03 Huanzhi Hu , Frank Krüger

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

强关联电子 · 物理学 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

强关联电子 · 物理学 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

Kitaev quantum spin liquids host Majorana fermions via the fractionalization of spins. In a magnetic field, the Majorana fermions were predicted to comprise a topological state, which has attracted great attention by the discovery of the…

强关联电子 · 物理学 2020-04-01 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases of the Kitaev honeycomb model in the presence of an out-of-plane magnetic field through which the model becomes non-integrable. Using…

强关联电子 · 物理学 2025-03-13 Kang Wang , Shi Feng , Penghao Zhu , Runze Chi , Hai-Jun Liao , Nandini Trivedi , Tao Xiang

The destruction of the Kondo effect in a local-moment metal can lead to a topological non-Fermi-liquid phase, dubbed fractionalized Fermi liquid, with spinon-type excitations and an emergent gauge field. We demonstrate that, if the latter…

强关联电子 · 物理学 2025-03-18 Tom Drechsler , Matthias Vojta

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

强关联电子 · 物理学 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

Mechanical strain can generate a pseudo-magnetic field, and hence Landau levels (LL), for low energy excitations of quantum matter in two dimensions. We study the collective state of the fractionalised Majorana fermions arising from…

强关联电子 · 物理学 2021-04-28 Adhip Agarwala , Subhro Bhattacharjee , Johannes Knolle , Roderich Moessner

The honeycomb Kitaev spin model provides a quantum spin liquid in the ground state, where the spin excitations are fractionalized into itinerant and localized Majorana fermions; the former spectrum has a broad continuum ranging up to a high…

强关联电子 · 物理学 2019-10-09 Joji Nasu , Yukitoshi Motome

Mott insulators under sufficiently strong spin-orbit coupling can display quantum spin liquid phases with topological order and fractional excitations. Quantum magnets with pure Kitaev spin exchange interactions can host a gapped quantum…

强关联电子 · 物理学 2020-06-03 Arnaud Ralko , Jaime Merino

We propose Majorana-assisted nonlocal spin correlation as a manifestation of Majorana nonlocality in quasi-one-dimensional (1D) Kitaev spin liquids. Focusing on the flux-free sector of the Kitaev honeycomb model in a quasi-1D geometry, we…

强关联电子 · 物理学 2026-03-27 Yuki Yamazaki , Shingo Kobayashi , Akira Furusaki

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…

强关联电子 · 物理学 2020-07-22 David Aasen , Roger S. K. Mong , Benjamin M. Hunt , David Mandrus , Jason Alicea

Majorana fermions were originally proposed as elementary particles acting as their own antiparticles. In recent years, it has become clear that Majorana fermions can instead be realized in condensed-matter systems as emergent…

强关联电子 · 物理学 2016-04-27 Stephan Rachel , Lars Fritz , Matthias Vojta

Quantum spin liquids (QSLs) host a variety of fractionalized particles. In Kitaev's paradigmatic honeycomb model a spin-$\tfrac{1}{2}$ fractionalizes into $Z_2$ flux due to emergent $Z_2$ gauge field and matter Majorana fermions. Although…

强关联电子 · 物理学 2026-01-22 Shi Feng , Nandini Trivedi
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