Charge density wave and finite-temperature transport in minimally twisted bilayer graphene

Abstract

We study phenomena driven by electron-electron interactions in the minimally twisted bilayer graphene (mTBLG) with a perpendicular electric field. The low-energy degrees of freedom in mTBLG are governed by a network of one-dimensional domain-wall states, described by two channels of one-dimensional linearly dispersing spin-1/2 fermions. We show that the interaction can realize a spin-gapped inter-channel charge density wave (CDW) state at low temperatures, forming a "Coulomb drag" between the channels and leaving only one charge conducting mode. For sufficiently high temperatures, power-law-in-temperature resistivity emerges from the charge umklapp scatterings within a domain wall. Remarkably, the presence of the CDW states can strengthen the charge umklapp scattering and induce a resistivity minimum at an intermediate temperature corresponding to the CDW correlation energy. We further discuss the conditions that resistivity of the network is dominated by the domain walls. In particular, the power-law-in-temperature resistivity results can apply to other systems that manifest topological domain-wall structures.

10+4 pages, 5 figures, published version

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• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene
• Network construction of non-Abelian chiral spin liquids
• Chiral fixed point in a junction of critical spin-1 chains
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Local optical conductivity of strain solitons in bilayer graphene with arbitrary soliton angle
• Effects of spin-orbit coupling in a valley chiral kagomé network
• Twisted bilayer graphene as a terahertz plasmonic crystal