Journal Article FZJ-2021-03994

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The Antiferromagnetic Character of the Quantum Phase Transition in the Hubbard Model on the Honeycomb Lattice

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2021
Inst. Woodbury, NY

Physical review / B 104(15), 155142 () [10.1103/PhysRevB.104.155142]

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Abstract: 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.

Classification:

Contributing Institute(s):
  1. Jülich Supercomputing Center (JSC)
  2. Theorie der Starken Wechselwirkung (IAS-4)
Research Program(s):
  1. 5111 - Domain-Specific Simulation & Data Life Cycle Labs (SDLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2021
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 Record created 2021-10-25, last modified 2022-02-13