2018/12/31 by Pavel Buividovich, Dominik Smith, Maksim Ulybyshev +1 · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-lat
paper · pdf · doi:10.1103/physrevb.99.205434
published as Phys. Rev. B 99, 205434 (2019) · revised version, accepted for publication in Phys. Rev. B
arxiv created 2019/05/17 · arxiv updated 2019/06/05
Using state of the art Hybrid-Monte-Carlo (HMC) simulations we carry out an unbiased study of the competition between spin-density wave (SDW) and charge-density wave (CDW) order in suspended graphene. We determine that the realistic inter-electron potential of graphene must be scaled up by a factor of roughly 1.6 to induce a semimetal-SDW phase transition and find no evidence for CDW order. A study of critical properties suggests that the universality class of the three-dimensional chiral Heisenberg Gross-Neveu model with two fermion flavors, predicted by renormalization group studies and strong-coupling expansion, is unlikely to apply to this transition. We propose that our results instead favor an interpretation in terms of a conformal phase transition. In addition, we describe a variant of the HMC algorithm which uses exact fermionic forces during molecular dynamics trajectories and avoids the use of pseudofermions. Compared to standard HMC this allows for a substantial increase of the integrator stepsize while achieving comparable Metropolis acceptance rates and leads to a sizable performance improvement.