Journal Article

FZJ-2020-04990

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Semimetal–Mott insulator quantum phase transition of the Hubbard model on the honeycomb lattice

Ostmeyer, J. (Corresponding author) ; Berkowitz, E. ; Krieg, S.FZJ* ; Lähde, T. A.FZJ* ; Luu, T.FZJ* ; Urbach, C.

2020
Inst. Woodbury, NY

This record in other databases:    

Please use a persistent id in citations: http://hdl.handle.net/2128/26384  doi:10.1103/PhysRevB.102.245105

Abstract: 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.

---

Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)
2. Theorie der Starken Wechselwirkung (IAS-4)
3. JARA - HPC (JARA-HPC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)
2. Carbon Nano-Structures with High-Performance Computing (jjsc37_20190501) (jjsc37_20190501)

Appears in the scientific report 2020

---

Database coverage:
; ; ; Clarivate Analytics Master Journal List ; Current Contents - Electronics and Telecommunications Collection ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; Essential Science Indicators ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

---