Honeycomb Hubbard Model at van Hove Filling II: Lower Bounds of the Self-Energy

Abstract

In this paper we complete the proof that the honeycomb Hubbard model with renormalized chemical potential $\mu =1$ is {\it not} a Fermi liquid in the mathematically precise sense of Salmhofer, by establishing the necessary lower bounds for second derivatives of the self-energy w.r.t. the external momentum.

arXiv commentThis paper and 2108.10852 are merged into a single paper: arXiv:2108.10852. Accepted for publication by Communications in Mathematical Physics