Twisted coupled wire model for a moiré sliding Luttinger liquid
arXiv:2310.04070 · doi:10.1103/PhysRevB.110.L201106
Abstract
Recent experiments in twisted bilayer WTe revealed the existence of anisotropic Luttinger liquid behavior. To generically characterize such anisotropic twisted bilayer systems, we study a model of a twisted bilayer of two-dimensional (2D) arrays of coupled wires, which effectively form an array of coupled moiré wires. We solve the model by the transfer matrix method, and identify quasi-1D electron bands in the system at small twist angles. With electron interactions added, we show that the moiré wires have an effective Luttinger parameter much lower than that of the microscopic wires. This leads to a sliding Luttinger liquid (SLL) temperature regime, in which power-law current voltage relations arise. For parameters partly estimated from WTe, a microscopic interaction eV yields a temperature regime of SLL similar to that in the WTe experiments.
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