arXiv:2008.12324

Non-Fermi Liquid Behaviour in the Three Dimensional Hubbard Model

Samuel Kellar, Ka-Ming Tam

Published Aug 27, 2020• 0 citations

Abstract

We present a numerical study on non-Fermi liquid behaviour of a three dimensional system. The Hubbard model in a cubic lattice is simulated by the dynamical cluster approximation, in particular the quasi-particle weight is calculated at finite dopings for a range of temperatures. Near the putative quantum critical point, we find evidence of a separatrix at a finite doping which separates the Fermi liquid from non-Fermi liquid as the doping increases. Our results suggest that a marginal Fermi liquid and possibly a quantum critical point should exist in the three dimensions interacting Fermi system.

DOI: 10.48550/arxiv.2008.12324

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