Buividovich, Pavel and Smith, Dominik and Ulybyshev, Maksim and von Smekal, Lorenz (2019) Numerical evidence of conformal phase transition in graphene with long-range interactions. PHYSICAL REVIEW B, 99 (20): 205434. ISSN 2469-9950, 2469-9969
Full text not available from this repository. (Request a copy)Abstract
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 interelectron 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 step size while achieving comparable Metropolis acceptance rates and leads to a sizable performance improvement.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HUBBARD-MODEL; SIMULATION; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Apr 2020 09:47 |
| Last Modified: | 14 Apr 2020 09:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26979 |
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