Kitaev honeycomb lattice

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Web24 dec. 2024 · The Kitaev honeycomb model is an exactly solvable model, which demonstrates the properties of a spin liquid state, specifically the topological nature and the presence of anyonic excitations. It also has been proposed as a possible platform for fault-tolerant quantum computation, due to its topological nature and the presence of anyonic … Web30 dec. 2016 · The Heisenberg-Kitaev model is a paradigmatic model to describe the magnetism in honeycomb-lattice Mott insulators with strong spin-orbit coupling, such as …

Kitaev

http://park.itc.u-tokyo.ac.jp/motohiko-ezawa/ezawa/lecture.html Web7 apr. 2024 · The Kitaev model is an exactly solvable S = 1/2 spin model on a 2D honeycomb lattice, in which the spins fractionalize into Majorana fermions and form a topological quantum spin liquid (QSL) in ... scottish green freeports prospectus

Lab Course on Kitaev’s Honeycomb Lattice Model: An Exactly …

WebSixth, the spin- Kitaev model on a honeycomb lattice is discussed, with a detailed analysis of fidelity mechanical-state functions being carried out. The topological nature of the gapped and gapless spin liquid phases is reflected in the fact that fidelity entropy takes multiple values at the characteristic points. WebWe discuss phenomena arising from the combined influence of electron correlation and spin-orbit coupling (SOC), with an emphasis on emergent quantum phases and transitions in heavy transition metal compounds with 4d and 5d elements. A common theme is the influence of spin-orbital entanglement produced by SOC, which influences the electronic … http://www.thphys.nuim.ie/daqist/Workshop_2009-09/Slides/Vala.pdf preschool activities about homes

[2304.03521] Nonlinear response of the Kitaev honeycomb lattice …

Kitaev interactions in the Co honeycomb antiferromagnets …

Web34. Fabien Trousselet, Peter Horsch, Andrzej M. Oles, and Wen-Long You, " Hole propagation in the Kitaev-Heisenberg model: From quasiparticles in quantum Néel states to non-Fermi liquid in the Kitaev phase", Phys. Rev. B 90, 024404 (2014). 35. Wen-Long You, "The scaling of entanglement entropy in a honeycomb lattice on a torus", J. Phys. A: Math. Web17 jun. 2005 · Alexei Kitaev A spin 1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the … scottish green party membershipWebA.Y.Kitaev, Fault-tolerant quantum computation by anyons, Ann. Phys. 303, 2 (2003). Toric code - spin 1/2 particles on the edges of a square lattice (green) Unitarily equivalent toric code - spin 1/2 particles on the vertices of a square lattice (blue) - connects naturally with the Kitaev honeycomb model Q q = !y left(q)! y right(q)! z up(q)! z ... preschool activities about plants

"WebThe Kitaev Honeycomb lattice and some numerical observations Graham Kells, Niall Moran, Timothy Stitt (ICHEC) , Jiri Vala All-Island Conference on Quantum Information … " - Kitaev honeycomb lattice

Kitaev honeycomb lattice

WebSpin nematic, dimensional reduction, and chiral spin liquid in the S=1 Kitaev-Heisenberg model with biquadratic interactions. Rico Pohle, Nic Shannon, Yukitoshi Motome. APS March Meeting, Las Vegas, USA 2024年3月9日. Possible chiral spin liquid on the spin-1 Kitaev-honeycomb model with bilinear- biquadratic interactions. Web31 mei 2024 · The Kitaev model with anisotropic interactions on the bonds of a honeycomb lattice is a paradigmatic model for a quantum spin liquid. We explore the effects of a …

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WebWe show that a magnetic field in the high-symmetry direction lifts the macroscopic classical ground-state degeneracy of the honeycomb Γ model and induces a long-range magnetic order. While a simple spin-polarized state is stabilized for the Web5 aug. 2012 · The honeycomb lattice model comprises interacting spin-½ particles arranged on the sites of a honeycomb lattice. It is remarkable that such a simple model …

WebAs explained by Kitaev, the original spins 1=2 de ned on the vertices of the honeycomb lattice can be re- placed by Majorana operators. This transformation leads to an e ective quadratic fermionic Hamiltonian given by H= i 4 X j;k A jkc jc k; (1) where the sum is performed over all sites of the honey- comb lattice. http://www.thphys.nuim.ie/daqist/Workshop_2009-09/Slides/Vala.pdf

WebKitaev honeycomb model 是Kitaev提出的众多模型之一，是一个严格可解的 \mathbb{Z}_2 自旋液体。为什么叫 \mathbb{Z}_2 自旋液体？为了知道这个答案我们就需要去关注模 … Web6 apr. 2016 · The honeycomb lattice is shown with its three inequivalent bond directions x, y, z. The flux operator W p , a product of spin operators around a plaquette, is highlighted …

WebThe honeycomb-lattice cobaltate has recently been proposed to be a proximate Kitaev quantum spin liquid~(QSL) candidate. However, non-Kitaev terms in the Hamiltonian lead to a zigzag-type antiferromagnetic~(AFM) order at low temperatures.

Web4 jun. 2024 · Nearly two decades ago, Alexei Kitaev proposed a model for spin-1/2 particles with bond-directional interactions on a two-dimensional honeycomb lattice which had the potential to host a quantum spin-liquid ground state. scottish greenhouse gas emissions 2021WebKitaev Model and Majoranas Som Phene(15D110001) Adway Gupta(175120034) Overview •Majoranas as a transformation •1-D Kitaev Hamiltonian •Kitaev Energies and Topology •Applications •2-D Kitaev on a Honeycomb Lattice. Majoranas. Kitaev Hamiltonian The most general Hamiltonian is: Onsite Potential Intersite Hopping Superconducting Pairing ... scottish great kilts for menWeb5 aug. 2012 · The honeycomb lattice model comprises interacting spin-½ particles arranged on the sites of a honeycomb lattice. It is remarkable that such a simple model can support a rich variety of topological behaviours. For certain values of its couplings, Abelian anyons emerge that behave like the toric code anyons. scottish green party agreementWeb9 apr. 2024 · PDF In this computational study, we explore a viable route to access the Kitaev-Quantum Spin Liquid (QSL) state in a so-called spin-orbit assisted... Find, read and cite all the research you ... scottish greens election manifestoWeb4 apr. 2024 · Microscopic modeling of the Kitaev spin liquid candidates Na 3 Co 2 SbO 6 and Li 3 Co 2 SbO 6 under uniaxial strain: 14:10: Ellen Häußler: Diluting a triangular-lattice spin liquid: Synthesis and characterization of NaYb 1−x Lu x S 2 single crystals: 14:30: Sreejith Chulliparambil: Spin-orbital liquids: Anyons, flux crystals and emergent ... preschool activities circle timeWeb7 apr. 2024 · M. Kazem Negahdari, Abdollah Langari. We investigate the nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field using the theory of two-dimensional coherent spectroscopy. We observe that at the isotropic point in the non-Abelian phase of this model, the nonlinear spectrum in the 2D frequency domain consists … scottish green party twitterWebThe Kitaev honeycomb model, first introduced in , is a system of spin-1/2 particles placed on the vertices of a hexagonal lattice. The system is known to exist in both Abelian and … preschool activities for mother\u0027s day