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We study the effects of doping the Kitaev model on the honeycomb lattice where the spins interact via the bond-directional interaction $J_K$, which is known to have a quantum spin liquid as its exact ground state. The effect of hole doping…

Strongly Correlated Electrons · Physics 2021-07-08 Cheng Peng , Yi-Fan Jiang , Thomas P. Devereaux , Hong-Chen Jiang

Metastable states with surprising properties abound in Hilbert space. We study unfrustrated isotropic spin-\half Heisenberg models in honeycomb lattice and find emergence of \textit{metastable Kitaev spin liquids having a 2-spin nematic…

Strongly Correlated Electrons · Physics 2023-09-14 Ganapathy Baskaran

The 3$d^7$ Co$^{2+}$-based insulating magnet \NCTO{} has recently been reported to have strong Kitaev interactions on a honeycomb lattice, and is thus being considered as a Kitaev quantum spin liquid candidate. However, due to the existence…

The electronic ground state in many iridate materials is described by a complex wave-function in which spin and orbital angular momenta are entangled due to relativistic spin-orbit coupling (SOC). Such a localized electronic state carries…

For 25 years condensed matter physicists have searched for a material that realizes a macroscopic quantum state of matter, the quantum spin liquid. Recent experiments show that the necessary interaction may be found in a family of hexagonal…

Strongly Correlated Electrons · Physics 2016-12-07 N. P. Armitage

In recent years, there has been an intense search for materials realizing the Kitaev quantum spin liquid model. A number of edge-shared compounds with strong spin-orbit coupling, such as RuCl$_3$ and iridates, have been proposed to realize…

Strongly Correlated Electrons · Physics 2022-06-28 Umesh Kumar , Saikat Banerjee , Shi-Zeng Lin

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 show that a chiral spin liquid spontaneously emerges in partially amorphous, polycrystalline, or ion-irradiated Kitaev materials. In these systems, time-reversal symmetry is broken spontaneously due to a non-zero density of plaquettes…

Strongly Correlated Electrons · Physics 2023-05-05 Adolfo G. Grushin , Cécile Repellin

A codimension-two spiral spin-liquid is a correlated paramagnetic state with one-dimensional ground state degeneracy hosted within a three-dimensional lattice. Here, via neutron scattering experiments and numerical simulations, we establish…

The Kitaev model exhibits a Quantum Spin Liquid hosting emergent fractionalized excitations. We study the Kitaev model on the honeycomb lattice coupled to a magnetic field along the [111] axis. Utilizing large scale matrix product based…

Strongly Correlated Electrons · Physics 2018-12-06 Matthias Gohlke , Roderich Moessner , Frank Pollmann

Recent experiments reveal that the honeycomb ruthenium trichloride {\alpha}-RuCl3 is a prime candidate of the Kitaev quantum spin liquid (QSL). However, there is no theoretical model which can properly describe its experimental dynamical…

Strongly Correlated Electrons · Physics 2017-08-16 Y. S. Hou , H. J. Xiang , X. G. Gong

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

Recently, Co-based honeycomb magnets have been proposed as promising candidate materials to host the Kitaev spin liquid state. One of the front-runners is BaCo$_2$(AsO$_4$)$_2$ (BCAO), where it was suggested that the exchange processes…

Spin liquid is a state of electron spins in which quantum fluctuation breaks magnetic ordering while maintaining spin correlation. It has been a central topic in magnetism because of its relevance to high-Tc superconductivity and…

Strongly Correlated Electrons · Physics 2016-09-28 Daichi Hirobe , Masahiro Sato , Takayuki Kawamata , Yuki Shiomi , Ken-ichi Uchida , Ryo Iguchi , Yoji Koike , Sadamichi Maekawa , Eiji Saitoh

We discuss phenomena arising from the combined influence of electron correlation and spin-orbit coupling, with an emphasis on emergent quantum phases and transitions in heavy transition metal compounds with 4d and 5d elements. A common…

Strongly Correlated Electrons · Physics 2014-03-14 William Witczak-Krempa , Gang Chen , Yong Baek Kim , Leon Balents

We study quantum disordered ground states of the two dimensional Heisenberg-Kitaev model on the triangular lattice using a Schwinger boson approach. Our aim is to identify and characterize potential gapped quantum spin liquid phases that…

Strongly Correlated Electrons · Physics 2017-01-25 Pavel Kos , Matthias Punk

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…

Strongly Correlated Electrons · Physics 2026-01-22 Shi Feng , Nandini Trivedi

We show that the topological Kitaev spin liquid on the honeycomb lattice is extremely fragile against the second-neighbor Kitaev coupling $K_2$, which has recently been shown to be the dominant perturbation away from the nearest-neighbor…

Strongly Correlated Electrons · Physics 2015-12-08 Ioannis Rousochatzakis , Johannes Reuther , Ronny Thomale , Stephan Rachel , N. B. Perkins

We develop an exactly solvable model with Kitaev-type interactions and study its phase diagram on the dual lattice of the quasicrystalline Ammann-Beenker lattice. Our construction is based on the $\Gamma$-matrix generalization of the Kitaev…

Strongly Correlated Electrons · Physics 2024-11-05 M. A. Keskiner , O. Erten , M. Ö. Oktel

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