TY  - JOUR
AU  - Ostmeyer, Johann
AU  - Berkowitz, Evan
AU  - Krieg, Stefan
AU  - Lähde, Timo A.
AU  - Luu, Thomas
AU  - Urbach, Carsten
TI  - Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice
JO  - Physical review / B
VL  - 102
IS  - 24
SN  - 2469-9950
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2020-04990
SP  - 245105
PY  - 2020
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000595856200003
DO  - DOI:10.1103/PhysRevB.102.245105
UR  - https://juser.fz-juelich.de/record/888526
ER  -