Non-Fermi Liquids in Conducting 2D Networks

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.

7+10 pages, 2+4 figures, Accepted version to PRL

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Cited by in corpus (12)

• Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
• General scatterings and electronic states in the quantum-wire network of moiré systems
• Kagomé network of chiral miniband-edge states in double-aligned graphene-hexagonal boron nitride structures
• Quantum Valley and Sub-valley Hall Effect in the Large Angle Twisted Bilayer Graphene
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Network construction of non-Abelian chiral spin liquids
• Orbital Edelstein effect of electronic itinerant orbital motion at edges
• Chiral fixed point in a junction of critical spin-1 chains
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Twisted bilayer graphene as a terahertz plasmonic crystal