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We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

强关联电子 · 物理学 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

In two-dimensional topological insulators, a disorder induced topological phase transition is typically identified with an Anderson localization transition at the Fermi energy. However, in higher-order, spin-resolved topological insulators…

无序系统与神经网络 · 物理学 2024-03-07 Alexander C. Tyner , Cormac Grindall , J. H. Pixley

We establish the appearance of a qualitatively new type of spin liquid with emergent exceptional points when coupling to the environment. We consider an open system of the Kitaev honeycomb model generically coupled to an external…

强关联电子 · 物理学 2021-02-18 Kang Yang , Siddhardh C. Morampudi , Emil J. Bergholtz

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…

强关联电子 · 物理学 2018-05-21 Yasuyuki Kato , Yoshitomo Kamiya , Joji Nasu , Yukitoshi Motome

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…

强关联电子 · 物理学 2015-07-10 Didier Poilblanc , J. Ignacio Cirac , Norbert Schuch

We theoretically address spin chain analogs of the Kitaev quantum spin model on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson resonating valence bond (RVB) states can be understood, as an effective model, in…

强关联电子 · 物理学 2017-11-15 Karyn Le Hur , Ariane Soret , Fan Yang

We study a model in (2+1)-dimensional spacetime that is realized by an array of chains, each of which realizes relativistic Majorana fields in (1+1)-dimensional spacetime, coupled via current-current interactions. The model is shown to have…

强关联电子 · 物理学 2019-06-05 Jyong-Hao Chen , Christopher Mudry , Claudio Chamon , A. M. Tsvelik

We report the appearance of nontrivial topological phases in a tight-binding model on the stuffed honeycomb lattice. The model contains nearest neighbor and next nearest neighbor hopping terms coupled with an additional phase depending on…

强关联电子 · 物理学 2020-01-06 Arghya Sil , Asim Kumar Ghosh

Motivated by the recent synthesis of two insulating Li$_2$IrO$_3$ polymorphs, where Ir$^{4+}$ $S_{eff}$=1/2 moments form 3D ("harmonic") honeycomb structures with threefold coordination, we study magnetic Hamiltonians on the resulting…

强关联电子 · 物理学 2014-11-26 Itamar Kimchi , James G. Analytis , Ashvin Vishwanath

We theoretically study laser driven nonequilibrium states in the Kitaev honeycomb model with a magnetoelectric cross coupling. We show that a topological spin liquid with a gapless chiral edge mode emerges when we apply an elliptically or…

强关联电子 · 物理学 2014-04-09 Masahiro Sato , Yuki Sasaki , Takashi Oka

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

介观与纳米尺度物理 · 物理学 2009-12-16 Andrew M. Essin , J. E. Moore

In addition to the Kitaev ($K$) interaction, candidate Kitaev materials also possess Heisenberg ($J$) and off-diagonal symmetric ($\Gamma$) couplings. We investigate the quantum ($S = 1/2$) $K$-$J$-$\Gamma$ model on the honeycomb lattice by…

强关联电子 · 物理学 2019-11-14 Jiucai Wang , B. Normand , Zheng-Xin Liu

Using unbiased Monte Carlo simulations and variational analysis, we present the ground state and finite temperature phase diagrams of an exactly solvable spin-orbital model with Kitaev-type interactions on a square lattice. We show that an…

强关联电子 · 物理学 2024-01-29 Ritwika Majumder , Onur Erten , Anamitra Mukherjee

The spectral properties of Kitaev's honeycomb lattice model are investigated both analytically and numerically with the focus on the non-abelian phase of the model. After summarizing the fermionization technique which maps spins into free…

介观与纳米尺度物理 · 物理学 2010-07-02 Ville Lahtinen , Graham Kells , Angelo Carollo , Tim Stitt , Jiri Vala , Jiannis K. Pachos

The microscopic modeling of spin-orbit entangled $j=1/2$ Mott insulators such as the layered hexagonal Iridates Na$_2$IrO$_3$ and Li$_2$IrO$_3$ has spurred an interest in the physics of Heisenberg-Kitaev models. Here we explore the effect…

强关联电子 · 物理学 2014-07-15 Eran Sela , Hong-Chen Jiang , Max H. Gerlach , Simon Trebst

We provide new insights into the Abelian and non-Abelian chiral Kitaev spin liquids on the star lattice using the recently proposed loop gas (LG) and string gas (SG) states [H.-Y. Lee, R. Kaneko, T. Okubo, N. Kawashima, Phys. Rev. Lett.…

强关联电子 · 物理学 2020-01-27 Hyun-Yong Lee , Ryui Kaneko , Tsuyoshi Okubo , Naoki Kawashima

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…

In extended Kitaev models on the honeycomb lattice, off-diagonal interactions (e.g. the $\Gamma, \Gamma^{'}$ terms) give rise to non-Kitaev quantum spin liquid (QSL) and several magnetically ordered phases. In the present work, we dope…

强关联电子 · 物理学 2021-09-14 Su-Ming Zhang , Zheng-Xin Liu

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…

强关联电子 · 物理学 2025-01-30 Ihor Yatsuta , David F. Mross

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…

强关联电子 · 物理学 2024-08-01 Matthias Gohlke , Jose Carlos Pelayo , Takafumi Suzuki