2006/11/30 by G. Baskaran, Saptarshi Mandal, R. Shankar · 3 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.stat-mech #physics.comp-ph #quant-ph
paper · pdf · doi:10.1103/physrevlett.98.247201
4 pages, 2 figures. Typose corrected, figure made better, clarifying statements and references added
arxiv created 2007/01/05 · arxiv updated 2009/12/01
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, all energy scale fractionizationof a spin -flip quanta, into two infinitely massive π-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.