2025/03/19 by Lang, Thomas C., Läuchli, Andreas M. · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2503.15000
We perform large scale quantum Monte Carlo simulations of the Hubbard model at half filling with a single Dirac cone close to the critical point, which separates a Dirac semi-metal from an antiferromagnetically ordered phase where SU(2) spin rotational symmetry is spontaneously broken. We discuss the implementation of a single Dirac cone in the SLAC formulation for eight Dirac components and the influence of dynamically induced long-range super-exchange interactions. The finite size behavior of dimensionless ratios and the finite size scaling properties of the Hubbard model with a single Dirac cone are shown to be superior compared to the honeycomb lattice. We extract the critical exponent believed to belong to the chiral Heisenberg Gross-Neveu-Yukawa universality class: The critical exponent ν= 1.02(3) coincides for the two lattice types once honeycomb lattices of linear dimension L≥ 15 are considered. In contrast to the SLAC formulation, where the anomalous dimensions are estimated to be ηϕ=0.73(1) and ηψ=0.09(1), they remain less stable on honeycomb lattices, but tend towards the estimates from the SLAC formulation.