Antiferromagnetic character of the quantum phase transition in the Hubbard model on the honeycomb lattice

Ostmeyer, Johann ORCID: 0000-0001-7641-8030, Berkowitz, Evan, Krieg, Stefan, Laehde, Timo A, Luu, Thomas and Urbach, Carsten (2021) Antiferromagnetic character of the quantum phase transition in the Hubbard model on the honeycomb lattice. PHYSICAL REVIEW B, 104 (15). 155142-.

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Official URL: http://dx.doi.org/10.1103/PhysRevB.104.155142

Abstract

We provide a unified, comprehensive treatment of all operators that contribute to the anti-ferromagnetic, 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 $\beta=0.898(37)$ 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.

Item Type:	Article
Uncontrolled Keywords:	cond-mat.str-el, cond-mat.str-el, hep-lat
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	25 May 2022 14:45
Last Modified:	18 Jan 2023 21:01
DOI:	10.1103/PhysRevB.104.155142
Open Access URL:	https://arxiv.org/pdf/2105.06936.pdf
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3155469