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Electronic transport in nano-structures, such as long molecules or 2Dexfoliated flakes, often goes through a nearly degenerate set ofsingle-particle orbitals. Here we show that in such cases a conspiracy of thenarrow band and strong e-e interactions may stabilize a non Fermi liquid phasein the universality class of the complex Sachdev-Ye-Kitaev (SYK) model.Focusing on signatures in quantum transport, we demonstrate the existence ofanomalous power laws in the temperature dependent conductance, includingalgebraic scaling $T^{3/2}$ in the inelastic cotunneling channel, separatedfrom the conventional Fermi liquid $T^2$ scaling via a quantum phasetransition. The relatively robust conditions under which these results areobtained indicate that the SYK non Fermi liquid universality class might be notas exotic as previously thought.

SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport