- Letter
- Open Access
Optimal superconductivity in twisted bilayer where the Van Hove singularity crosses half-filling
Phys. Rev. Research 8, L012070 – Published 25 March, 2026
DOI: https://doi.org/10.1103/pkf3-fkv4
Abstract
The recent discovery of unconventional superconductivity has pointed to twisted bilayer as a versatile platform for studying the correlated and topological phases of matter. Here, we analyze the effect of the displacement field and electron interactions on the formation of a topological paired state in twisted . Our approach is based on the effective single band model supplemented with intersite Coulomb interaction term and treated within the Gutzwiller approximation. We show that the superconducting phase is stabilized in a small range of displacement fields where the Van Hove singularity crosses half-filling, which is in qualitative agreement with recent experimental data. According to our analysis, such a circumstance comes as a result of a subtle interplay between the large density of states of the Van Hove singularity, in combination with the renormalization effects that appear in the weak-to-moderate correlation regime. The two factors create favorable conditions for the superconducting pairing only in a small area of the phase diagram.
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