Giant anisotropic band flattening in twisted $Γ$ valley semiconductor bilayers

Kavli Affiliate: Jing Wang

| First 5 Authors: Huan Wang, Zhaochen Liu, Yadong Jiang, Jing Wang,

| Summary:

We propose a theory of anisotropic band flattening in moir’e systems at the
$Gamma$ valley. We find that in twisted anisotropic two-dimensional crystals
with a rectangular unit cell of $C_{2z}$ or mirror symmetries, a larger
effective mass anisotropy $eta=m_y/m_x$ has a stronger tendency to be further
enhanced compared to that of monolayer, which leads to correlated physics in
one dimension effectively. We predict twisted bilayer black phosphorus (tBBP)
has giant anisotropic flattened moir’e bands ($etasim10^4$) from ab initio
calculations and continuum model, where the low energy physics is described by
the weakly coupled array of one-dimensional wires. We further calculate the
phase diagram based on sliding Luttinger liquid by including the screened
Coulomb interactions in tBBP, and find a large parameter space may host the
non-Fermi liquid phase. We thus establish tBBP as a promising and
experimentally accessible platform for exploring correlated physics in low
dimensions.

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