Non-Fermi Liquids in Conducting 2D Networks

TL;DR

This paper investigates the emergence of novel non-Fermi liquid states in 2D conducting networks formed by 1D wires, with implications for materials like twisted bilayer graphene and charge-density wave systems.

Contribution

It introduces a classification scheme for non-Fermi liquids based on network junction characteristics and calculates their temperature-dependent conductivity.

Findings

Discovery of diverse non-Fermi liquids in 2D networks

Distinct temperature scaling of conductivity from Fermi liquids

Applicability to materials like moire heterostructures

Abstract

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 in some charge-density wave materials. For these network systems, we theoretically show that a remarkably wide variety of new non-Fermi liquids emerge and that these non-Fermi liquids can be classified by the characteristics of the junctions in networks. Using this, we calculate the electric conductivity of the non-Fermi liquids as a function of temperature, which show markedly different scaling behaviors than a regular 2D Fermi liquid.