Testing for topological order in variational wavefunctions for Z(2) spin liquids

Details Testing for topological order in variational wavefunctions for Z(2) spin liquids Testing for topological order in variational wavefunctions for Z(2) spin liquids

2004-05-17

arxiv.org/abs/cond-mat/0405353v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 4 eps figures, detailed version of cond-mat/0303360 with additional material

Scientific paper

10.1103/PhysRevB.71.094421

We determine the conditions under which a spin-liquid Mott insulator |0> defined by a Gutzwiller projected BCS state at half-filling is Z(2) fractionalized. We construct a trial vison [Z(2) vortex] state |V> by projecting an (hc/2e) vortex threading the hole of a cylinder/torus and examine its overlap with |0> using analytical and numerical calculations. We find that generically the overlap vanishes in the thermodynamic limit, so the spin-liquid is Z(2) fractionalized. We point out the relevance of these results to numerical studies of Hubbard-like models and spin models which have been recently reported to possess spin liquid phases. We also consider possible implications for flux-trapping experiments that have tested for Z(2) fractionalization in underdoped high temperature superconductors.

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