Exact results for spin dynamics and fractionization in the Kitaev Model

Details Exact results for spin dynamics and fractionization in the Kitaev Model Exact results for spin dynamics and fractionization in the Kitaev Model

2006-11-21

arxiv.org/abs/cond-mat/0611547v2

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures. Typose corrected, figure made better, clarifying statements and references added

Scientific paper

10.1103/PhysRevLett.98.247201

We present certain exact analytical results for dynamical spin correlation functions in the Kitaev Model. It is the first result of its kind in non-trivial quantum spin models. The result is also novel: in spite of presence of gapless propagating Majorana fermion excitations, dynamical two spin correlation functions are identically zero beyond nearest neighbor separation, showing existence of a gapless but short range spin liquid. An unusual, \emph{all energy scale fractionization}of a spin -flip quanta, into two infinitely massive $\pi$-fluxes and a dynamical Majorana fermion, is shown to occur. As the Kitaev Model exemplifies topological quantum computation, our result presents new insights into qubit dynamics and generation of topological excitations.

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