Parallel adaptive integration in high-performance functional Renormalization Group computations

Lichtenstein, Julian; Winkelmann, Jan; Peña, David Sánchez de la; Vidović, Toni; Napoli, Edoardo Di

doi:10.48550/arxiv.1610.09991

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“…Previous results within the widely used Fermi surface patching fRG scheme [20][21][22] were computationally limited in their resolution of wavevector dependences of the arising effective interactions. The TUfRG scheme has enabled us to increase the wavevector resolution in a highly scalable [17,23] and numerically efficient way. The main motivation behind a finer momentum resolution of effective interactions in graphene is twofold.…”

Section: Introductionmentioning

confidence: 99%

Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional renormalization group calculation with high-wave-vector resolution

2017

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We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. We employ a recently developed fermionic functional Renormalization Group scheme which allows for highly resolved calculations of wavevector dependences in the low-energy effective interactions. We encounter the expected anti-ferromagnetic spin density wave for a dominant on-site repulsion between electrons, and charge order with different modulations for dominant pure n-th nearest neighbor repulsive interactions. Novel instabilities towards incommensurate charge density waves take place when non-local density interactions among several bond distances are included simultaneously. Moreover, for more realistic Coulomb potentials in graphene including enough non-local terms there is a suppression of charge order due to competition effects between the different charge ordering tendencies, and if the on-site term fails to dominate, the semi-metallic state is rendered stable. The possibility of a topological Mott insulator being the favored tendency for dominating second nearest neighbor interactions is not realized in our results with high momentum resolution.

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