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The honeycomb magnet $\alpha-$RuCl$_3$ is a prime candidate material for realizing the Kitaev quantum spin liquid (QSL), but it shows long-range magnetic order at low temperature. Nevertheless, its broad inelastic neutron scattering (INS)…

强关联电子 · 物理学 2022-11-23 Oliver Franke , Dumitru Călugăru , Andreas Nunnenkamp , Johannes Knolle

The exploration of quantum spin liquids (QSLs) has been guided by different approaches including the resonating valence bond (RVB) picture, deconfined lattice gauge theories and the Kitaev model. More recently, a spin liquid ground state…

强关联电子 · 物理学 2022-12-19 Ruben Verresen , Ashvin Vishwanath

Intensive studies of the interplay between spin-orbit coupling (SOC) and electronic correlations in transition metal compounds have recently been undertaken. In particular, $j_{\rm eff}$ = 1/2 bands on a honeycomb lattice provide a pathway…

强关联电子 · 物理学 2015-06-24 Heung-Sik Kim , V. Vijay Shankar , Andrei Catuneanu , Hae-Young Kee

We demonstrate that $\mathbb{Z}_2$ gauge transformations and lattice deformations in Kitaev's honeycomb lattice model can have the same description in the continuum limit of the model in terms of chiral gauge fields. The chiral gauge fields…

强关联电子 · 物理学 2020-10-07 Matthew D. Horner , Ashk Farjami , Jiannis K. Pachos

Competition and cooperation between electron correlation and relativistic spin-orbit coupling give rise to diverse exotic quantum phenomena in solids. An illustrative example is spin-orbit entangled quantum liquids, which exhibit remarkable…

强关联电子 · 物理学 2024-03-15 Yi-Feng Zhao , Seong-Hoon Jang , Yukitoshi Motome

The honeycomb Kitaev model describes a $Z_2$ spin liquid with topological order and fractionalized excitations consisting of gapped $\pi$-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to…

强关联电子 · 物理学 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

Low-energy states of quantum spin liquids are thought to involve partons living in a gauge-field background. We study the spectrum of Majorana fermions of Kitaev's honeycomb model on spherical clusters. The gauge field endows the partons…

强关联电子 · 物理学 2015-01-14 Paula Mellado , Olga Petrova , Oleg Tchernyshyov

We theoretically study THz-light-driven high-harmonic generation (HHG) in the spin-liquid states of the Kitaev honeycomb model with a magnetostriction coupling between spin and electric polarization. To compute the HHG spectra, we…

强关联电子 · 物理学 2021-08-04 Minoru Kanega , Tatsuhiko N. Ikeda , Masahiro Sato

We present a construction of the Kitaev honeycomb lattice model on an arbitrary higher genus surface. We first generalize the exact solution of the model based on the Jordan-Wigner fermionization to a surface with genus $g = 2$, and then…

量子物理 · 物理学 2022-10-18 John Brennan , Jiří Vala

We study the spin-1/2 Ising-XXZ model on a decorated honeycomb lattice composed of five spins per unit cell, one Ising spin, and four Heisenberg spins. This model involving the Heisenberg exchange interaction is one of the few models that…

统计力学 · 物理学 2022-07-20 Onofre Rojas

We consider the quasi-two-dimensional pseudo-spin-1/2 Kitaev - Heisenberg model proposed for A2IrO3 (A=Li, Na) compounds. The spin-wave excitation spectrum, the sublattice magnetization, and the transition temperatures are calculated in the…

强关联电子 · 物理学 2016-08-24 A. A. Vladimirov , D. Ihle , N. M. Plakida

Although the ground-state energy of the Kitaev spin liquid can be calculated exactly, the associated vison gap energy has to date only been calculated numerically from finite size diagonalization. Here we show that the phase shift for…

强关联电子 · 物理学 2024-07-12 Aaditya Panigrahi , Piers Coleman , Alexei Tsvelik

Quantum spin liquid is a disordered magnetic state with fractional spin excitations. Its clearest example is found in an exactly solved Kitaev honeycomb model where a spin flip fractionalizes into two types of anyons, quasiparticles that…

强关联电子 · 物理学 2018-05-10 N. Janša , A. Zorko , M. Gomilšek , M. Pregelj , K. W. Krämer , D. Biner , A. Biffin , Ch. Rüegg , M. Klanjšek

Phase diagram of a Hubbard model for Majorana fermions on the honeycomb lattice is explored using a combination of field theory, renormalization group and mean-field arguments, as well as exact numerical diagonalization. Unlike the…

强关联电子 · 物理学 2018-09-18 Chengshu Li , Marcel Franz

The Kitaev model, which involves bond-direction-dependent spin interactions on a honeycomb lattice, has attracted significant interest due to its exact solvability and potential uses in quantum computing. A key feature of this model is the…

强关联电子 · 物理学 2025-08-12 Taekoo Oh , Naoto Nagaosa

A central question on Kitaev materials is the effects of additional couplings on the Kitaev model which is proposed to be a candidate for realizing topological quantum computations. However, two spatial dimension typically suffers the…

强关联电子 · 物理学 2020-08-26 Wang Yang , Alberto Nocera , Ian Affleck

Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions that feature in proposals for topological quantum computing.…

介观与纳米尺度物理 · 物理学 2011-09-28 G. Kells , J. Kailasvuori , J. Slingerland , J. Vala

We present a detailed study of quantum simulations of coupled spin systems in surface-electrode ion-trap arrays, and illustrate our findings with a proposed implementation of the hexagonal Kitaev model [A. Kitaev, Annals of Physics 321,2…

量子物理 · 物理学 2011-12-01 Roman Schmied , Janus H. Wesenberg , Dietrich Leibfried

We study the low-temperature phase diagram of quantum Kitaev-Heisenberg spin-orbital models with XXZ anisotropy on the honeycomb lattice. Within a parton mean-field theory, we identify three different quantum phases, distinguished by their…

强关联电子 · 物理学 2025-09-24 Max Fornoville , Lukas Janssen

Motivated by the ongoing effort to search for high-resolution signatures of quantum spin liquids, we investigate the temperature dependence of the indirect resonant inelastic x-ray scattering (RIXS) response for the Kitaev honeycomb model.…

强关联电子 · 物理学 2019-06-28 Gábor B. Halász , Stefanos Kourtis , Johannes Knolle , Natalia B. Perkins
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