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arXiv · 2310.04070

Twisted coupled wire model for a moir\'e sliding Luttinger liquid

Yichen Hu·Yuanfeng Xu·Biao Lian
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Abstract

Recent experiments in twisted bilayer WTe$_2$ 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 moir\'e 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 moir\'e wires have an effective Luttinger parameter $g_\text{eff}$ 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$_2$, a microscopic interaction $U\sim0.7$eV yields a temperature regime of SLL similar to that in the WTe$_2$ experiments.

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Yichen Hu, Yuanfeng Xu, Biao Lian. 2023-10-06. Twisted coupled wire model for a moir\'e sliding Luttinger liquid. https://doi.org/10.1103/physrevb.110.l201106

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