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The honeycomb $K-\Gamma$ model is known to have both deconfined spin liquid and confined phases. We study here a confinement transition between the Kitaev spin liquid and a dimerized phase in the limit of strong bond anisotropy. By…

Strongly Correlated Electrons · Physics 2019-03-13 Gideon Wachtel , Dror Orgad

Detecting Majorana fermions in experimental realizations of the Kitaev honeycomb model is often complicated by non-trivial interactions inherent to potential spin liquid candidates. In this work, we identify several distinct thermodynamic…

Strongly Correlated Electrons · Physics 2023-12-08 Joshuah T. Heath , Faranak Bahrami , Sangyun Lee , Roman Movshovich , Xiao Chen , Fazel Tafti , Kevin S. Bedell

Searching for Kitaev quantum spin liquid (QSL) is a fascinating and challenging problem. Much effort has been devoted to honeycomb lattice candidates with strong spin-orbit coupling in 5d-electron iridates and 4delectron RuCl3. Recently,…

Strongly Correlated Electrons · Physics 2021-10-20 L. Y. Shi , X. M. Wang , R. D. Zhong , Z. X. Wang , T. C. Hu , S. J. Zhang , Q. M. Liu , T. Dong , F. Wang , N. L. Wang

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…

Strongly Correlated Electrons · Physics 2018-08-15 Darshan G. Joshi

Cobaltates with 3$d$ based layered honeycomb structure were recently proposed as Kitaev magnets and putative candidates to host the long-sought Kitaev spin liquid. Here we present inelastic neutron scattering results down to 50 mK for…

Strongly Correlated Electrons · Physics 2023-01-18 Alaric L. Sanders , Richard A. Mole , Jiatu Liu , Alex J. Brown , Dehong Yu , Chris D. Ling , Stephan Rachel

The Kitaev quantum spin liquid (QSL) on the two-dimensional honeycomb lattice epitomizes an entangled topological state, where the spins fractionalize into Majorana fermions. This state has aroused tremendous interest because it harbors…

Strongly Correlated Electrons · Physics 2022-12-12 S. Suetsugu , Y. Ukai , M. Shimomura , M. Kamimura , T. Asaba , Y. Kasahara , N. Kurita , H. Tanaka , T. Shibauchi , J. Nasu , Y. Motome , Y. Matsuda

We study the Kitaev-Heisenberg-$\Gamma$-$\Gamma'$ model that describes the magnetism in strong spin-orbit coupled honeycomb lattice Mott insulators. In strong $[111]$ magnetic fields that bring the system into the fully polarized…

Strongly Correlated Electrons · Physics 2018-08-15 P. A. McClarty , X. -Y. Dong , M. Gohlke , J. G. Rau , F. Pollmann , R. Moessner , K. Penc

There has been a great interest in magnetic field induced quantum spin liquids in Kitaev magnets after the discovery of neutron scattering continuum and half quantized thermal Hall conductivity in the material $\alpha$-RuCl$_3$. In this…

Strongly Correlated Electrons · Physics 2020-01-10 Li Ern Chern , Ryui Kaneko , Hyun-Yong Lee , Yong Baek Kim

We derive and study a spin one-half Hamiltonian on a honeycomb lattice describing the exchange interactions between Ir$^{4+}$ ions in a family of layered iridates $A_2$IrO$_3$ ($A$=Li,Na). Depending on the microscopic parameters, the…

Strongly Correlated Electrons · Physics 2014-11-20 Jiri Chaloupka , George Jackeli , Giniyat Khaliullin

There have been constant efforts to find exotic quantum spin-liquid (QSL) materials. Some of the transition metal insulators dominated by the direction dependent anisotropic exchange interaction (Kitaev model for honeycomb network of…

Strongly Correlated Electrons · Physics 2023-05-17 S. Rayaprol , K. K. Iyer , A. Hoser , M. Reehuis , A. V. Morozkin , V. Siruguri , K. Maiti , E. V. Sampathkumaran

Motivated by intense research on two-dimensional spin-1/2 Kitaev materials, Kitaev spin chains and ladders, though geometrically limited, have been studied for their numerical simplicity and insights into extended Kitaev models. The phase…

Strongly Correlated Electrons · Physics 2026-04-21 Mandev Bhullar , Haoting Xu , Hae-Young Kee

We present numerical evidence for the presence of a finite-temperature ($T$) phase transition separating paramagnet and quantum spin liquid in a three-dimensional variant of the Kitaev model defined on a hyperhoneycomb lattice in the limit…

Strongly Correlated Electrons · Physics 2015-06-17 J. Nasu , T. Kaji , K. Matsuura , M. Udagawa , Y. Motome

Magnetic insulators in the regime of strong spin-orbit coupling exhibit intriguing behaviors in external magnetic fields, reflecting the frustrated nature of their effective interactions. We review the recent advances in understanding the…

Strongly Correlated Electrons · Physics 2019-07-30 Lukas Janssen , Matthias Vojta

By using the variational Monte Carlo method, we study the magnetization process of the Kitaev honeycomb model in a magnetic field. Our trial wavefunction is a generalized Bardeen-Cooper-Schrieffer wave function with the Jastrow correlation…

Strongly Correlated Electrons · Physics 2020-01-31 Kota Ido , Takahiro Misawa

We study the 3D Kitaev and Kitaev-Heisenberg models respectively on the hyperhoneycomb and hyperoctagon lattices, both at zero and finite-temperature, in the thermodynamic limit. Our analysis relies on advanced tensor network (TN)…

Strongly Correlated Electrons · Physics 2021-09-08 Saeed S. Jahromi , Hadi Yarloo , Roman Orus

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…

Strongly Correlated Electrons · Physics 2016-07-20 Xue-Yang Song , Yi-Zhuang You , Leon Balents

Candidate materials for Kitaev spin liquid phase have been intensively studied recently because of their potential applications in fault-tolerant quantum computing. Although most of the studies on Kitaev spin liquid have been done in 4$d$…

Strongly Correlated Electrons · Physics 2022-12-02 Subhasis Samanta , Panyalak Detrattanawichai , Sutassana Na-Phattalung , Heung-Sik Kim

We discuss the discovery by variational Monte Carlo (VMC) methods of a series of multinode quantum spin liquids (QSLs) in extended Kitaev models on the honeycomb lattice. Like the gapless Kitaev spin liquid with its two nodes at K and…

Strongly Correlated Electrons · Physics 2024-12-03 Jiucai Wang , B. Normand , Zheng-Xin Liu

We study the quantum spin liquid phase in a variant of the Kitaev model where the bonds of the honeycomb lattice are distributed in a Kekul\'e pattern. The system supports gapped and gapless Z_2 quantum spin liquids with interesting…

Strongly Correlated Electrons · Physics 2015-04-22 Eoin Quinn , Subhro Bhattacharjee , Roderich Moessner

Anyonic excitations emerging from a Kitaev spin liquid can form a basis for quantum computers. Searching for such excitations motivated intense research on the honeycomb iridate materials. However, access to a spin liquid ground state has…

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