Regensburg 2025 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 41: Quantum-Critical Phenomena (joint session TT/DY)
TT 41.5: Talk
Thursday, March 20, 2025, 10:30–10:45, H31
Chiral Heisenberg Gross-Neveu-Yukawa criticality: Honeycomb vs. SLAC fermions — •Thomas C. Lang1 and Andreas M. Läuchli2,3 — 1Institute for Theoretical Physics, University of Innsbruck, Austria — 2Laboratory for Theoretical and Computational Physics, Paul Scherrer Institute, Switzerland — 3Institute of Physics, École Polytechnique Féedérale de Lausanne, Switzerland
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 exponents believed to belong to the chiral Heisenberg Gross-Neveu-Yukawa universality class which coincide for the two lattice types once honeycomb lattices of sufficient linear dimension are considered.
Keywords: SLAC; Hubbard model; long-range; universality