This title appears in the Scientific Report :
2020
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevB.102.245105 in citations.
Please use the identifier: http://hdl.handle.net/2128/26384 in citations.
Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice
Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice
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...
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Personal Name(s): | Ostmeyer, Johann (Corresponding author) |
---|---|
Berkowitz, Evan / Krieg, Stefan / Lähde, Timo A. / Luu, Thomas / Urbach, Carsten | |
Contributing Institute: |
JARA - HPC; JARA-HPC Theorie der Starken Wechselwirkung; IAS-4 Jülich Supercomputing Center; JSC |
Published in: | Physical Review B Physical review / B, 102 102 (2020 2020) 24 24, S. 245105 245105 |
Imprint: |
Woodbury, NY
Inst.
2020
|
DOI: |
10.1103/PhysRevB.102.245105 |
Document Type: |
Journal Article |
Research Program: |
Carbon Nano-Structures with High-Performance Computing Computational Science and Mathematical Methods |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/26384 in citations.
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. |