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Related papers: Spin-orbit physics of j=1/2 Mott insulators on the…

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The Kitaev honeycomb model plays a pivotal role in the quest for quantum spin liquids, in which fractional quasiparticles would provide applications in decoherence-free topological quantum computing. The key ingredient is the bond-dependent…

Strongly Correlated Electrons · Physics 2024-10-11 Seong-Hoon Jang , Yukitoshi Motome

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome

A neutron scattering study of the Mott-Hubbard insulator LaTiO$_{3}$ (T$_{{\rm N}}=132$ K) reveals a spin wave spectrum that is well described by a nearest-neighbor superexchange constant $J=15.5$ meV and a small Dzyaloshinskii-Moriya…

Strongly Correlated Electrons · Physics 2009-10-31 B. Keimer , D. Casa , A. Ivanov , J. W. Lynn , M. v. Zimmermann , J. P. Hill , D. Gibbs , Y. Taguchi , Y. Tokura

Motivated by the recent discovery of a low temperature spin liquid phase in layered organic compound $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ which becomes a superconductor under pressure, we examine the phase transition of Mott insulating and…

Superconductivity · Physics 2007-05-23 J. Y. Gan , Yan Chen , F. C. Zhang

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…

Strongly Correlated Electrons · Physics 2020-08-26 Wang Yang , Alberto Nocera , Ian Affleck

We present a thorough experimental study of the three-dimensional hyperhoneycomb Kitaev magnet $\beta$-Li$_2$IrO$_3$, using a combination of inelastic neutron scattering (INS), time-domain THz spectroscopy, and heat capacity measurements.…

We derive the microscopic spin Hamiltonian for rhombohedral CrI$_3$ using extensive first-principles density functional theory (DFT) calculations which incorporate spin-orbit coupling and Hubbard U. Our calculations indicate a dominant…

The Kitaev spin liquid, a ground state of the bond-dependent Kitaev model in a honeycomb lattice has been a centre of attraction, since a microscopic theory to realize such an interaction in solid-state materials was discovered. A challenge…

Strongly Correlated Electrons · Physics 2022-05-20 Jiefu Cen , Hae-Young Kee

Highly frustrated spin systems represent a central and challenging problem in condensed mater physics. To this problem, we introduce an algorithm based on mixed projected entangled pair states (m-PEPS), which is a novel type of tensor…

Strongly Correlated Electrons · Physics 2013-05-03 Huan He , Zhen Wang , Chuanfeng Li , YongJian Han , Guangcan Guo

The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada

We review the consequences of intrinsic frustration of the orbital superexchange and of spin-orbital entanglement. While Heisenberg perturbing interactions remove frustration in the compass model, the lowest columnar excitations are robust…

Strongly Correlated Electrons · Physics 2015-03-30 Andrzej M. Oleś

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…

Strongly Correlated Electrons · Physics 2018-03-29 Kevin Slagle , Wonjune Choi , Li Ern Chern , Yong Baek Kim

Dynamical correlations of Jeff = 1/2 isospins in the paramagnetic state of spin-orbital Mott insu- lator Sr2IrO4 was revealed by resonant magnetic x-ray diffuse scattering. We found two-dimensional antiferromagnetic fluctuation with a large…

Strongly Correlated Electrons · Physics 2015-06-04 S. Fujiyama , H. Ohsumi , T. Komesu , J. Matsuno , B. J. Kim , M. Takata , T. Arima , H. Takagi

We discuss magnetically ordered states, arising in Heisenberg-Kitaev and related spin models, on three-dimensional (3D) harmonic honeycomb lattices. For large classes of ordered states, we show that they can be mapped onto two-dimensional…

Strongly Correlated Electrons · Physics 2020-01-29 Wilhelm G. F. Krüger , Matthias Vojta , Lukas Janssen

Motivated by the magnetic phase transition of a proximate Kitaev system $\alpha$-RuCl$_3$ in the presence of a magnetic field, we study the simplest but essential quantum spin model with the ferromagnetic nearest neighboring (NN) Kitaev…

Strongly Correlated Electrons · Physics 2020-10-14 Beom Hyun Kim , Shigetoshi Sota , Tomonori Shirakawa , Seiji Yunoki , Young-Woo Son

We present the linear spin wave theory calculation of the superfluid phase of a hard-core boson $J$-$K$ model with nearest neighbour exchange $J$ and four-particle ring-exchange $K$ at half filling on the triangular lattice, as well as the…

Strongly Correlated Electrons · Physics 2013-06-25 Solomon A. Owerre

We study the exchange interactions and resulting magnetic phases in the honeycomb cobaltates. For a broad range of trigonal crystal fields acting on Co2+ ions, the low-energy pseudospin-1/2 Hamiltonian is dominated by bond-dependent Ising…

Strongly Correlated Electrons · Physics 2020-07-23 Huimei Liu , Jiri Chaloupka , Giniyat Khaliullin

Using tensor network states to unravel the physics of quantum spin liquids in minimal, yet generic microscopic spin or electronic models remains notoriously challenging. A prominent open question concerns the nature of the insulating ground…

Strongly Correlated Electrons · Physics 2020-10-22 Amir M Aghaei , Bela Bauer , Kirill Shtengel , Ryan V. Mishmash

Antiferromagnetic Heisenberg model on the triangular lattice is perhaps the best known example of frustrated magnets, but it orders at low temperatures. Recent density matrix renormalization group (DMRG) calculations find that next nearest…

Quantum Gases · Physics 2018-05-08 Ahmet Keles , Erhai Zhao

The bond-dependent Kitaev interaction $K$ is familiar in the effective spin model of transition metal compounds with octahedral ligands. In this work, we find a peculiar non-coplanar magnetic order can be formed with the help of $K$ and…

Strongly Correlated Electrons · Physics 2024-06-04 Linli Bai , Ken Chen