Topological Order in Projected Wave Functions and Effective Theories of Quantum Antiferromagnets

Abstract

We study the topological order in RVB state derived from Gutzwiller projection of BCS-like mean field state. We propose to construct the topological excitation on the projected RVB state through Gutzwiller projection of mean field state with inserted $Z_2$ flux tube. We prove that all projected RVB states derived from bipartite effective theories, no matter the gauge structure in the mean field ansatz, are positive definite in the sense of the Marshall sign rule, which provides a universal origin for the absence of topological order in such RVB state.

5 pages, 1 figures

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• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• An efficient Monte Carlo algorithm for the evaluation of Renyi entanglement entropy of a general quantum dimer model at the R-K point
• Absence of topological degeneracy in the Hubbard model on honeycomb lattice
• Topological entanglement entropy in Gutzwiller projected spin liquids
• Antiferromagnetic long range order in the uniform resonating valence bond state on square lattice
• Partons from stabilizer codes