Journal
PHYSICAL REVIEW B
Volume 91, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.91.125123
Keywords
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Funding
- NSF [DMR-1005541]
- NSFC [11274192]
- BMO Financial Group
- John Templeton Foundation
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research
- Direct For Mathematical & Physical Scien [1005541] Funding Source: National Science Foundation
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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-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 v = 1/2 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.
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