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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…

Strongly Correlated Electrons · Physics 2012-12-04 Seth Whitsitt , Victor Chua , Gregory A. Fiete

We derive a theory for the generation of arbitrary spin-spin interactions in superconducting circuits via periodic time modulation of the individual qubits or the qubit-qubit interactions. The modulation frequencies in our approach are in…

Quantum Physics · Physics 2019-01-23 Mahdi Sameti , Michael J. Hartmann

We predict that twisted bilayers of 1T-ZrS$_2$ realize a novel and tunable platform to engineer two-dimensional topological quantum phases dominated by strong spin-orbit interactions. At small twist angles, ZrS$_2$ heterostructures give…

Strongly Correlated Electrons · Physics 2022-08-30 Martin Claassen , Lede Xian , Dante M. Kennes , Angel Rubio

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…

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

The expected phenomenology of non-interacting topological band insulators (TBI) is now largely theoretically understood. However, the fate of TBIs in the presence of interactions remains an active area of research with novel,…

Strongly Correlated Electrons · Physics 2013-05-30 Mehdi Kargarian , Abdollah Langari , Gregory A. Fiete

The study of ultracold atomic spin systems with long-range interaction provides the possibility of searching for magnetic supersolid phases in quantum many-body scenarios. In this paper, we consider two-species Bose gases with spin-orbit…

Quantum Gases · Physics 2023-08-01 Dong-Dong Pu , Ji-Guo Wang , Ya-Fei Song , Xiao-Dong Bai

Using the density-matrix renormalization-group algorithm (DMRG) and a finite-size scaling analysis, we study the properties of the one-dimensional completely-anisotropic spin-1/2 XYZ model with Dzyaloshinsky-Moriya (DM) interactions. The…

Statistical Mechanics · Physics 2014-09-11 Sebastiano Peotta , Leonardo Mazza , Ettore Vicari , Marco Polini , Rosario Fazio , Davide Rossini

Kitaev interactions, arising from the interplay of frustration and bond anisotropy, can lead to strong quantum fluctuations and, in an ideal case, to a quantum-spin-liquid state. However, in many nonideal materials, spurious non-Kitaev…

The layered honeycomb lattice iridate Cu$_2$IrO$_3$ is the closest realization of the Kitaev quantum spin liquid, primarily due to the enhanced interlayer separation and nearly ideal honeycomb lattice. We report pressure-induced structural…

We analyze the Kitaev model on the triangle-honeycomb lattice whose ground state has recently been shown to be a chiral spin liquid. We consider two perturbative expansions: the isolated-dimer limit containing Abelian anyons and the…

Other Condensed Matter · Physics 2008-09-08 S. Dusuel , K. P. Schmidt , J. Vidal , R. L. Zaffino

We show that ultracold polar molecules pinned in an optical lattice can be used to access a variety of exotic spin models, including the Kitaev honeycomb model. Treating each molecule as a rigid rotor, we use DC electric and microwave…

Quantum Gases · Physics 2015-06-12 Alexey V. Gorshkov , Kaden R. A. Hazzard , Ana Maria Rey

The layered honeycomb magnet $\alpha$-Li$_2$IrO$_3$ has been theoretically proposed as a candidate to display novel magnetic behaviour associated with Kitaev interactions between spin-orbit entangled $j_{\rm eff}=1/2$ magnetic moments on a…

Strongly Correlated Electrons · Physics 2017-02-17 S. C. Williams , R. D. Johnson , F. Freund , Sungkyun Choi , A. Jesche , I. Kimchi , S. Manni , A. Bombardi , P. Manuel , P. Gegenwart , R. Coldea

We report inelastic neutron scattering measurements on Na2IrO3, a candidate for the Kitaev spin model on the honeycomb lattice. We observe spin-wave excitations below 5 meV with a dispersion that can be accounted for by including…

Dynamical Jahn-Teller (DJT) effect in a spin-orbital coupled system on a honeycomb lattice is examined, motivated from recently observed spin-liquid behavior in Ba$_3$CuSb$_2$O$_9$. An effective vibronic Hamiltonian, where the superexchange…

Strongly Correlated Electrons · Physics 2015-06-11 Joji Nasu , Sumio Ishihara

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

As one of the most intriguing states of matter, the chiral spin liquid (CSL) has attracted much scientific interest while its existence and mechanism in crystalline strongly correlated systems remain hotly debated. On the other hand, strong…

Strongly Correlated Electrons · Physics 2024-04-09 Yixuan Huang , D. N. Sheng , Jian-Xin Zhu

The Kitaev model of spin-1/2 on a honeycomb lattice supports degenerate topological ground states and may be useful in topological quantum computation. Na$_{2}$IrO$_{3}$ with honeycomb lattice of Ir ions have been extensively studied as…

Materials Science · Physics 2018-10-03 Kaige Hu , Zhimou Zhou , Yi-Wen Wei , Chao-Kai Li , Ji Feng

We investigate the properties of the Kitaev-Kondo lattice model defined on a bilayer honeycomb lattice by means of the SO(3) Majorana representation for spin-$1/2$ moments. We first consider the pairing of neighboring sites for the parent…

Strongly Correlated Electrons · Physics 2021-05-20 Vanuildo S. de Carvalho , Rafael M. P. Teixeira , Hermann Freire , Eduardo Miranda

We use density matrix renormalization group (DMRG) algorithm to study the phase diagram of the spin-1/2 Heisenberg model on honeycomb lattice with first (J1) and second (J2) neighbor antiferromagnetic interactions, where a Z2 spin liquid…

Strongly Correlated Electrons · Physics 2013-11-13 Shou-Shu Gong , D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher
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