6533b832fe1ef96bd129ad67

RESEARCH PRODUCT

Fate of the false Mott-Hubbard transition in two dimensions

N. BlümerG. RohringerMarkus AichhornKarsten HeldEnrico ArrigoniFaruk GelesAlessandro ToschiDaniel RostThomas Schäfer

subject

PhysicsCondensed Matter::Quantum GasesHubbard modelMagnetic momentCondensed matter physicsStrongly Correlated Electrons (cond-mat.str-el)ScatteringQuantum Monte CarloFOS: Physical sciencesCondensed Matter Physics01 natural sciences010305 fluids & plasmasElectronic Optical and Magnetic MaterialsParamagnetismCondensed Matter - Strongly Correlated ElectronsLattice (order)Quantum mechanics0103 physical sciencesStrongly correlated materialSpectral gapCondensed Matter::Strongly Correlated Electrons010306 general physics

description

We have studied the impact of non-local electronic correlations at all length scales on the Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model. Combining dynamical vertex approximation, lattice quantum Monte-Carlo and variational cluster approximation, we demonstrate that scattering at long-range fluctuations, i.e., Slater-like paramagnons, opens a spectral gap at weak-to-intermediate coupling -- irrespectively of the preformation of localized or short-ranged magnetic moments. This is the reason, why the two-dimensional Hubbard model is insulating at low enough temperatures for any (finite) interaction and no Mott-Hubbard transition is observed.

https://dx.doi.org/10.48550/arxiv.1405.7250