ArXiv · 2026
We show that the non-Hermitian skin effect (NHSE) can enhance pairing correlations in moiré Hubbard systems through a channel-selective mechanism: skin-induced localization amplifies the boundary density of states, strengthening local pairing tendencies within an intermediate ``golden window'' of non-reciprocity γ∈[0.5,1.2] t. Using exact diagonalization of the non-Hermitian Hubbard model on triangular lattices with open boundaries, we map the (U,γ) phase diagram. The double occupancy D(γ) exhibits non-monotonic behavior – rising by up to 21% then declining – reflecting a competition between NHSE-enhanced boundary pairing and over-localization. A decomposition of the pairing susceptibility χ_SC on the 3×3 cluster reveals that the NHSE acts channel-selectively: it enhances on-site pairing (+21%) while simultaneously suppressing competing antiferromagnetic correlations (22% reduction), so that the total pairing susceptibility, dominated by the on-site channel, grows by +98% on that cluster. These trends are corroborated by an independent non-Hermitian DMRG calculation and establish an enhancement of finite-cluster pairing correlations rather than trivial density redistribution. We do not claim long-range superconducting order. A BCS scaling estimate converts the same pairing-response signal into a dome-shaped T_c(γ) fingerprint, suggesting an experimentally distinguishable response in coherent-drive versus reservoir-dominated moiré devices.
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