Abstract
We perform large-scale quantum Monte Carlo simulations of SLAC fermions on a two-dimensional square lattice at half filling with a single Dirac cone with spinor components and repulsive on-site interactions. Despite the presence of a sign problem, we accurately identify the critical interaction strength in units of the hopping amplitude, for a continuous quantum phase transition between a paramagnetic Dirac semimetal and a ferromagnetic insulator. Using finite-size scaling, we extract the critical exponents for the corresponding chiral Ising Gross-Neveu universality class: the inverse correlation length exponent , the order parameter anomalous dimension , and the fermion anomalous dimension .
- Received 22 December 2021
- Accepted 4 May 2022
DOI:https://doi.org/10.1103/PhysRevLett.128.225701
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