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| Hauptseite > Publikationsdatenbank > Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice > print |
| Hauptseite > Publikationsdatenbank > Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice > print |
| 001 | 888526 | ||
| 005 | 20230426083224.0 | ||
| 024 | 7 | _ | |a 10.1103/PhysRevB.102.245105 |2 doi |
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| 024 | 7 | _ | |a 2469-9950 |2 ISSN |
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| 024 | 7 | _ | |a 2469-9977 |2 ISSN |
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| 100 | 1 | _ | |a Ostmeyer, Johann |0 0000-0001-7641-8030 |b 0 |e Corresponding author |
| 245 | _ | _ | |a Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice |
| 260 | _ | _ | |a Woodbury, NY |c 2020 |b Inst. |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 520 | _ | _ | |a 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. |
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| 773 | 1 | 8 | |a 10.1103/physrevb.102.245105 |b American Physical Society (APS) |d 2020-12-04 |n 24 |p 245105 |3 journal-article |2 Crossref |t Physical Review B |v 102 |y 2020 |x 2469-9950 |
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| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/888526/files/PhysRevB.102.245105.pdf |y OpenAccess |
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