2021/05/31 by Johann Ostmeyer, Evan Berkowitz, Stefan Krieg +3 · 3 citations
Physics and Astronomy · #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1103/physrevb.104.155142
published as Phys. Rev. B 104, 155142 (2021)
arxiv created 2021/10/28 · arxiv updated 2021/11/01
We provide a unified, comprehensive treatment of all operators that contribute to the anti-ferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte Carlo algorithm to perform a systematic, carefully controlled analysis in the temporal Trotter error and of the thermodynamic limit. We expect our findings to improve the consistency of Monte Carlo determinations of critical exponents. We perform a data collapse analysis and determine the critical exponent β=0.898(37) for the semimetal-Mott insulator transition in the hexagonal Hubbard Model. Our methods are applicable to a wide range of lattice theories of strongly correlated electrons.