Modular matrices from universal wave-function overlaps in Gutzwiller-projected parton wave functions
Name
PhysRevB.91.125123.pdf
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194.42 KB
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Author(s)
Mei, Jia-Wei
Wen, Xiao-Gang
Date Issued
March 2015
Journal
Physical Review B
Publisher
American Physical Society
Citation
Mei, Jia-Wei, and Xiao-Gang Wen. “Modular Matrices from Universal Wave-Function Overlaps in Gutzwiller-Projected Parton Wave Functions.” Phys. Rev. B 91, no. 12 (March 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We implement the universal wave-function overlap (UWFO) method to extract modular S and T matrices for topological orders in Gutzwiller-projected parton wave functions (GPWFs). The modular S and T matrices generate a projective representation of SL(2,Z) on the degenerate-ground-state Hilbert space on a torus and may fully characterize the 2+1D topological orders, i.e., the quasiparticle statistics and chiral central charge (up to E[subscript 8] bosonic quantum Hall states). We use the variational Monte Carlo method to computed the S and T matrices of the chiral spin liquid (CSL) constructed by the GPWF on the square lattice, and we confirm that the CSL carries the same topological order as the ν=[1 over 2] bosonic Laughlin state. We find that the nonuniversal exponents in the UWFO can be small, and direct numerical computation can be applied on relatively large systems. The UWFO may be a powerful method to calculate the topological order in GPWFs.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.91.125123
