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Kitaev honeycomb lattice

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 can support a rich variety of topological behaviours. For certain values of its couplings, Abelian anyons emerge that behave like the toric code anyons. 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.

Haldane model, Berry curvature, and Chern number

Web7 feb. 2024 · Here, we demonstrate that the low-energy properties of the Kitaev honeycomb lattice model, a topological superconductor that supports localised … Web1 apr. 2024 · Download Citation On topology of the moduli space of gapped Hamiltonians for topological phases The moduli space of gapped Hamiltonians that are in the same topological phase is an intrinsic ... taoism elements https://gw-architects.com

Kitaev honeycomb lattice model: from A to B and beyond

WebTo implement the honeycomb lattice, then, all you have to do is come up with such a 2D to 1D mapping. I would recommend reshaping the honeycomb lattice first to a square lattice but with some bonds missing and perhaps some bonds added if necessary. Then on paper enumerate the sites from 1,2,...,N where N=Nx*Ny. Web6. KITAEV SPIN LIQUID Quantum Physics 2024 1 Ferromagnets and nonlinear sigma model 1.1 Exchange Interaction 1.2 Nonlinear sigma model from lattice model 2 Domain Wall 2.1 One-dimensional soliton equation 2.2 Kinks and anti-kinks 2.3 Sine-Gordon Solitons and Jacobian Elliptic Functions 3 Topological charge Web2 jul. 2024 · Principal results. In the present paper, we study the lightly doped Kitaev model in Eq. on the honeycomb lattice using DMRG 46Based on DMRG calculations on three … taormina meteo

Kitaev’s Honeycomb Lattice Model SpringerLink

Category:On topology of the moduli space of gapped Hamiltonians

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Kitaev honeycomb lattice

Further insights into the thermodynamics of the Kitaev honeycomb …

Web1 mei 2024 · The Kitaev and Heisenberg exchange couplings are denoted as K and J, respectively. The system has two kinds of neighboring links and they appear alternately along the chain. Thus, the structural unit cell contains two lattice sites. Hereafter, we call the links ( 2 i − 1, 2 i) and ( i, 2 i + 1) as “ x -link” and “ y -link”, respectively. WebM. Elliot Clarendon Laboratory, University of Oxford, Parks Road, Oxford, OX1 3PU, UK P. A. McClarty Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38,

Kitaev honeycomb lattice

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Web10 apr. 2024 · The authors thank M. Cheng, C.-M. Jian, A. Kapustin, A. Kitaev, D. Ranard, and X.-G. Wen for their discussions. The authors thank M. Cheng and C. Córdova for comments on a draft. The second author thanks A. Kitaev for his discussion on potential issues in a mathematically rigorous definition of the space M B and physical … http://www.thphys.nuim.ie/daqist/Workshop_2009-09/Slides/Vala.pdf

WebFIG. 3. (a) Brillouin zone definition. (b) Summary of low-energy contributions to Sµν from different zigzag domains at B = 0. (c-g) T = 0 inelastic neutron scattering intensity I(k, ω) ∝ f(k)2 ∑µν(δµ,ν − k̂µk̂ν)Sµν(k, ω) under applied field, computed with ED; f(k) is the magnetic form factor for Ru3+ [55]. (c) B = 0, (d,e) B b, (f,g) B a. (h,i) Summary of low-energy ... 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 …

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 ... WebFIG. 2. Evolution of the T = 0 static correlations under magnetic field computed via ED. (a) Magnetization M(B). Experimental data at T = 2 K from [23]. (b) Static structure factor for k = Γ, M, and Y. (c) Ground state fidelity susceptibility χF and second derivative of the ground state energy. The peak in both indicates a single phase transition at Bc ∼ 6 T. (d) Z2 flux …

WebPHYSICAL REVIEW RESEARCH1, 013014 (2024) Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials Yong Hao Gao, 1Ciarán Hickey,2 Tao Xiang,3,4 Simon Trebst,2 and Gang Chen ,5 1State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200433, China 2Institute for …

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. taos 1.5t s suvhttp://www.itensor.org/support/2532/how-itensor-simulate-kitaev-honeycomb-model taolu meaninghttp://www.thphys.nuim.ie/daqist/Workshop_2009-09/Slides/Vala.pdf taos airlinesWebIn addition to sublattice and inversion symmetry, the honeycomb lattice also has a three-fold rotation symmetry around the center of the unit cell. This symmetry is important to make the Dirac cones appear in the first place, but it will not play a role in all that follows. taormina peekskill lunch menuWeb14 feb. 2024 · Realizing a Kitaev model in the laboratory, however, remains a challenge in materials science. Mott insulators with a honeycomb lattice of spin-orbital-entangled pseudospin-1/2 moments have been proposed, including the 5d-electron systems α-Na 2 IrO 3 (ref. 5) and α-Li 2 IrO 3 (ref. 6) and the 4d-electron system α-RuCl 3 (ref. 7). taos ale houseWebWe examine the star lattice Kitaev model whose ground state is a chiral spin liquid. We fermionize the model such that the fermionic vacua are toric-code states on an effective Kagome lattice. This implies that the Abelian phase of the system is inherited from the fermionic vacua and that time-reversal symmetry is spontaneously broken at the level of … taos boots on saleWeb28 feb. 2024 · celebrated models is the honeycomb model in a hexagonal lattice as proposed by Kitaev in the year 2006. In this paper, we aim to simulate the Kitaev … taos events june