2003/03/31 by Arun Paramekanti, Mohit Randeria, Nandini Trivedi · 11 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algorithm #Artificial intelligence #Computer science #Mathematics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.71.094421
published in Physical Review B 71(9) (American Physical Society) · 4 pages; 3 figures (one figure modified to show asymptotic exponential decay of overlaps in fractionalized phase)
arxiv created 2003/07/16 · openalex publication_date 2005/03/23 · arxiv updated 2013/05/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We determine the conditions under which a spin-liquid Mott insulator \ensuremath|0⟩ defined by a Gutzwiller projected BCS state at half-filling is Z2 fractionalized. We construct a trial vison (Z2 vortex) state \ensuremath|V⟩ by projecting an hc∕2e vortex threading the hole of a cylinder/torus and examine its overlap with \ensuremath|0⟩ using analytical and numerical calculations. We find that generically the overlap vanishes in the thermodynamic limit, so the spin-liquid is Z2 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 Z2 fractionalization in underdoped high-temperature superconductors.