  Electronic transport in nano-structures, such as long molecules or 2D
exfoliated flakes, often goes through a nearly degenerate set of
single-particle orbitals. Here we show that in such cases a conspiracy of the
narrow band and strong e-e interactions may stabilize a non Fermi liquid phase
in the universality class of the complex Sachdev-Ye-Kitaev (SYK) model.
Focusing on signatures in quantum transport, we demonstrate the existence of
anomalous power laws in the temperature dependent conductance, including
algebraic scaling $T^{3/2}$ in the inelastic cotunneling channel, separated
from the conventional Fermi liquid $T^2$ scaling via a quantum phase
transition. The relatively robust conditions under which these results are
obtained indicate that the SYK non Fermi liquid universality class might be not
as exotic as previously thought.
