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26 April 2024
 
  » arxiv » cond-mat/0405353

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Testing for topological order in variational wavefunctions for Z(2) spin liquids
Arun Paramekanti ; Mohit Randeria ; Nandini Trivedi ;
Date 17 May 2004
Subject Strongly Correlated Electrons | cond-mat.str-el
AffiliationKITP, UC Santa Barbara), Mohit Randeria (TIFR, UIUC) and Nandini Trivedi (TIFR, UIUC
AbstractWe 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.
Source arXiv, cond-mat/0405353
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