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Condensed Matter > Strongly Correlated Electrons

arXiv:2412.03794 (cond-mat)
[Submitted on 5 Dec 2024]

Title:Hubbard Model on the Honeycomb Lattice with an Indefinite Long-Range Interaction

Authors:Mohammad-Sadegh Vaezi, Davoud Nasr Esfahani
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Abstract:Several studies have emphasized the impact of long-range Coulomb interactions in lattice fermions, yet conventional Auxiliary Field Quantum Monte Carlo (QMC) methods face limitations due to their reliance on positive definite interaction matrices. We address this by decomposing the interaction matrix into positive- and negative-definite components, allowing for QMC calculations with manageable sign properties. This technique enables effective simulations on large lattices. Applying it to a honeycomb lattice with an indefinite interaction matrix, we identify a semi-metal to charge density wave phase transition within the Gross-Neveu criticality class. Notably, the phase transition boundary aligns with regions where the average sign sharply decreases, providing new evidence to the increasingly compelling research on the relationship between phase transitions and the sign problem.
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech); Computational Physics (physics.comp-ph); Quantum Physics (quant-ph)
Cite as: arXiv:2412.03794 [cond-mat.str-el]
  (or arXiv:2412.03794v1 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2412.03794
Journal reference: Phys. Rev. B 110, 241103 (2024)
Related DOI: https://doi.org/10.1103/PhysRevB.110.L241103

Submission history

From: Seyyed Mohammad Sadegh Vaezi [view email]
[v1] Thu, 5 Dec 2024 01:15:25 UTC (1,555 KB)
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