August 30, 2021 to September 3, 2021
University of Innsbruck
Europe/Zurich timezone

【167】Chiral Heisenberg Gross-Neveu-Yukawa criticality: honeycomb vs. single Dirac cone

Sep 3, 2021, 12:45 PM
Room C

Room C

Talk Condensed Matter Physics (KOND) Condensed Matter Physics


Thomas C. Lang (University of Innsbruck)


We perform large scale quantum Monte Carlo simulations of the Hubbard model at half filling with a single eight component Dirac cone close to the relativistic quantum critical point. We discuss the implementation of a single Dirac cone in the SLAC formulation for eight Dirac components and its reliability upon the introduction of interactions. 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 and discuss the origins of the discrepancies of estimates in literature. We find coinciding exponents once honeycomb lattices of linear dimension larger than 15 are considered only.

Primary authors

Prof. Andreas M. Läuchli (University of Innsbruck) Thomas C. Lang (University of Innsbruck)

Presentation materials

There are no materials yet.