Kitaev model

The second term is —3JN/16, when Tj is a two-dimensional classical spin, and is —3JN/% in the quantum-spin case. A total number of sites is N. This model is proposed as a orbital state for the layered iron oxide, [5, 6, 26], and is also recently proposed in study of the optical lattice [27-29]. A similar orbital model in a honeycomb lattice termed the Kitaev model is recently well examined. [30,31] Let us introduce the Fourier transformation for the orbital pseudo-spin operator. The Hamiltonian (15) is represented in the momentum space, [5,27]... 

Abramova, A. V., Slivinsky, Ye. V., Goldfarb, Y.Y., Kitaev, L. Ye., Kubasov A. A., Modeling of Nature and Strength of Acid Centres in Ultrastable Zeolites as a Component of Hydrocracker Catalysts, in Hydrotreatment and Hydrocracking of Oil Fractions. 1999, Elsevier Science B. V New York. pp. 377-380. 

Dougot, B., Feigel man, M.V., Ioffe, L.B., and loselevich, A.S., Protected qubits and Chem-Simons theories in Josephson junction arrays, Phys. Rev. B, 71, 024505, 2005. Kitaev, A. Yu., Anyons in an exactly solved model and beyond. Annals of Physics, 321, 2, 2006. 

Table 83) comprises the experimental values of lE(RF) for mosf compounds of this series (except LaF, CeF, PrF, PmF, and LuF). These values were obtained when studying the ionization processes of RF (Kitaev et al., 1988a,b,c) and from analysis of specfroscopic dafa aimed at the determination of lE(RF) (Belyaev et al., 1996). The accuracy specified in these works is better ( 0.07 eV). Missing data (parenthesized in the third column of Table 83) were estimafed by Kifaev (1988) and Gotkis (1988, 1991) who relied on fhe data reported by Kitaev et al. (1988a,b,c) and Belyaev et al. (1996) and who made use of fhe model of 4f elecfron fransfer induced by the ligand field. 

Now in [10], Freedman, Kitaev, Larsen and Wang give us a new model of quantum computation, which is named topological quantum computation and given that this model is presented as realized using anyons systems, the new model is renamed as anyonic topological quantum computation [11], Two important consequences from the model of Freedman et al are that many TQFT s can be... 

Kauffinan, L.H. State models and the Jones polynomial. Topology 26, 395-407 (1987) Freedman, M., Kitaev, A., Larsen, M., Wang, Z. Topological quantum computation. Mathematical challenges of the 21st century (Los Angeles, CA, 2000). Bull. Amer. Math. Soc (N.S.) 40(1), 31-38 (2003)... 

Kitaev, A. Anyons in an exactly solved model and beyond, arXiv.cond-mat/0506438 vl 17 (June 2005)... 

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