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We combine tensor-network approaches and high-order linked-cluster expansions to investigate the quantum phase diagram of the antiferromagnetic Kitaev's honeycomb model in a magnetic field for general spin values. For the pure Kitaev model,…

The Kitaev model on a honeycomb lattice may provide a robust topological quantum memory platform, but finding a material that realizes the unique spin liquid phase remains a considerable challenge. We demonstrate that an effective Kitaev…

介观与纳米尺度物理 · 物理学 2024-06-19 Tessa Cookmeyer , Sankar Das Sarma

The honeycomb lattice Kitaev model H_{K} with two kinds of Wen-Toric-code four-body interactions H_{WT} is investigated exactly using a new fermionization method, and the ground state phase diagram is obtained. Six kinds of three-body…

统计力学 · 物理学 2019-02-20 Kazuhiko Minami

We theoretically study an exactly solvable Gamma matrix generalization of the Kitaev spin model on the ruby lattice, which is a honeycomb lattice with "expanded" vertices and links. We find this model displays an exceptionally rich phase…

强关联电子 · 物理学 2012-12-04 Seth Whitsitt , Victor Chua , Gregory A. Fiete

We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that…

强关联电子 · 物理学 2026-05-05 Arnab Seth , Fay Borhani , Itamar Kimchi

We express Kitaev's exact solution of spin models on the honeycomb lattice as a special case of a higher dimensional duality between staggered Majorana fermions and Pauli spins. General models with bilinear nearest neighbor couplings of…

强关联电子 · 物理学 2025-03-25 T. Banks

We study the dynamical thermal conductivity of the two-dimensional Kitaev spin-model on the honeycomb lattice. We find a strongly temperature dependent low-frequency spectral intensity as a direct consequence of fractionalization of spins…

强关联电子 · 物理学 2017-11-22 Alexandros Metavitsiadis , Angelo Pidatella , Wolfram Brenig

Quantum simulations of many-body systems are among the most promising applications of quantum computers. In particular, models based on strongly-correlated fermions are central to our understanding of quantum chemistry and materials…

We compute the low-energy excitation spectrum and the dynamical spin structure factor of the Kitaev-Heisenberg-Gamma model through a variational approach based on the exact fractionalized excitations of the pure Kitaev honeycomb model. This…

强关联电子 · 物理学 2021-07-21 Shang-Shun Zhang , Gábor B. Halász , Wei Zhu , Cristian D. Batista

We introduce a spin-1/2 model in three dimensions which is a generalization of the well-known Kitaev model on a honeycomb lattice. Following Kitaev, we solve the model exactly by mapping it to a theory of non-interacting fermions in the…

介观与纳米尺度物理 · 物理学 2013-05-29 Saptarshi Mandal , Naveen Surendran

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases…

With the advancement in synthesizing and analyzing Kitaev materials, the Kitaev-Heisenberg model on the honeycomb lattice has attracted a lot of attention in the last few years. Several variations, which include additional anisotropic…

强关联电子 · 物理学 2018-08-15 Darshan G. Joshi

We investigate the generic features of the low energy dynamical spin structure factor of the Kitaev honeycomb quantum spin liquid perturbed away from its exact soluble limit by generic symmetry-allowed exchange couplings. We find that the…

强关联电子 · 物理学 2016-07-20 Xue-Yang Song , Yi-Zhuang You , Leon Balents

We study the Kitaev-Heisenberg model with spin-1 local degree of freedom on a two-dimensional honeycomb lattice numerically by density matrix renormalization group method. By tuning the relative value of the Kitaev and Heisenberg exchange…

强关联电子 · 物理学 2020-09-16 Xiao-Yu Dong , D. N. Sheng

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

强关联电子 · 物理学 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

We propose a theoretical model for a gapless spin liquid phase that may have been observed in a recent experiment on $\mathrm{H_3Li Ir_2 O_6}$. Despite the insulating and non-magnetic nature of the material, the specific heat coefficient…

强关联电子 · 物理学 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

There have been substantial recent efforts, both experimentally and theoretically, to find a material realization of the Kitaev spin-liquid--the ground state of the exactly solvable Kitaev model on the honeycomb lattice. Candidate materials…

强关联电子 · 物理学 2023-07-12 Tessa Cookmeyer , Joel E. Moore

The Kitaev honeycomb model, which is exactly solvable by virtue of an extensive number of conserved quantities, supports a gapless quantum spin liquid phase as well as gapped descendants relevant for fault-tolerant quantum computation. We…

强关联电子 · 物理学 2026-01-28 Yue Liu , Nathanan Tantivasadakarn , Kevin Slagle , David F. Mross , Jason Alicea

We provide analytical and numerical insights into the phase diagram and other properties of the extended Kitaev-Heisenberg model on the honeycomb lattice in the {\it easy-plane} limit, in which interactions are only between spin components…

强关联电子 · 物理学 2023-01-20 P. A. Maksimov , A. L. Chernyshev

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