This title appears in the Scientific Report :
2021
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevB.104.155142 in citations.
Please use the identifier: http://hdl.handle.net/2128/28844 in citations.
The Antiferromagnetic Character of the Quantum Phase Transition in the Hubbard Model on the Honeycomb Lattice
The Antiferromagnetic Character of the Quantum Phase Transition in the Hubbard Model on the Honeycomb Lattice
We provide a unified, comprehensive treatment of all operators that contribute to the antiferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte Carlo algorithm to perform a systematic, carefully controlled...
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Personal Name(s): | Ostmeyer, Johann (Corresponding author) |
---|---|
Berkowitz, Evan / Krieg, Stefan / Lähde, Timo A. / Luu, Thomas / Urbach, Carsten | |
Contributing Institute: |
Theorie der Starken Wechselwirkung; IAS-4 Jülich Supercomputing Center; JSC |
Published in: | Physical review / B, 104 (2021) 15, S. 155142 |
Imprint: |
Woodbury, NY
Inst.
2021
|
DOI: |
10.1103/PhysRevB.104.155142 |
Document Type: |
Journal Article |
Research Program: |
Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups |
Link: |
OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/28844 in citations.
We provide a unified, comprehensive treatment of all operators that contribute to the antiferromagnetic, ferromagnetic, and charge-density-wave structure factors and order parameters of the hexagonal Hubbard Model. We use the Hybrid Monte Carlo algorithm to perform a systematic, carefully controlled analysis in the temporal Trotter error and of the thermodynamic limit. We expect our findings to improve the consistency of Monte Carlo determinations of critical exponents. We perform a data collapse analysis and determine the critical exponent β=0.898(37) for the semimetal-Mott insulator transition in the hexagonal Hubbard Model. Our methods are applicable to a wide range of lattice theories of strongly correlated electrons. |