%0 Journal Article
%A Ostmeyer, Johann
%A Berkowitz, Evan
%A Krieg, Stefan
%A Lähde, Timo A.
%A Luu, Thomas
%A Urbach, Carsten
%T Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice
%J Physical review / B
%V 102
%N 24
%@ 2469-9950
%C Woodbury, NY
%I Inst.
%M FZJ-2020-04990
%P 245105
%D 2020
%X We take advantage of recent improvements in the grand canonical Hybrid Monte Carlo algorithm, to performa precision study of the single-particle gap in the hexagonal Hubbard model, with on-site electron-electron interactions. Aftercarefully controlled analyses of the Trotter error, the thermodynamic limit, and finite-size scaling with inverse temperature, we find acritical coupling of $U_c/\kappa=3.834(14)$ and the critical exponent $z\nu=1.185(43)$. Under the assumption that this corresponds to the expected anti-ferromagnetic Mott transition, weare also able to provide a preliminary estimate $\beta=1.095(37)$ for the critical exponent of the order parameter. We consider our findings in viewof the $SU(2)$ Gross-Neveu, or chiral Heisenberg, universality class. We also discuss the computational scaling of the Hybrid Monte Carlo algorithm, and possible extensions of our work to carbon nanotubes, fullerenes, and topological insulators.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000595856200003
%R 10.1103/PhysRevB.102.245105
%U https://juser.fz-juelich.de/record/888526