Non-Fermi Liquids in Conducting Two-Dimensional Networks

We explore the physics of novel fermion liquids emerging from conducting networks, where 1D metallic wires form a periodic 2D superstructure. Such structure naturally appears in marginally twisted bilayer graphenes, moire transition metal dichalcogenides, and also some charge-density wave materials. For these network systems, we theoretically show that remarkably wide variety new non-Fermi emerge can be classified by characteristics junctions networks. Using this, calculate electric conductivity as function temperature, which markedly different scaling behaviors than regular Fermi liquid.