Theory of topological superconductivity and antiferromagnetic correlated insulators in twisted bilayer WSe<sub>2</sub>.

Tuo, Chuyi; Li, Ming-Rui; Wu, Zhengzhi; Sun, Wen; Yao, Hong · Nat Commun · 2025

basic_science · Level V

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Abstract

Since the very recent discovery of unconventional superconductivity in twisted WSe<sub>2</sub> homobilayers at filling ν = - 1, considerable interest has arisen in revealing its mechanism. In this paper, we developed a three-band tight-binding model with non-trivial band topology by direct Wannierization of the low-energy continuum model. Incorporating both onsite Hubbard repulsion and next-nearest-neighbor attraction, we then performed a mean-field analysis of the microscopic model and obtained a phase diagram qualitatively consistent with the experiment results. For zero or weak displacement field, the ground state is a Chern number C = ± 2 topological superconductor in the Altland-Zirnbauer A-class (breaking time-reversal but preserving total S<sub>z</sub> symmetry) with inter-valley pairing dominant in <math xmlns="http://www.w3.org/1998/Math/MathML"> <msub><mrow><mi>d</mi></mrow> <mrow><mi>x</mi> <mi>y</mi></mrow> </msub> <mo>±</mo> <mi>i</mi> <msub><mrow><mi>d</mi></mrow> <mrow> <msup><mrow><mi>x</mi></mrow> <mrow><mn>2</mn></mrow> </msup> <mo>-</mo> <msup><mrow><mi>y</mi></mrow> <mrow><mn>2</mn></mrow> </msup> </mrow> </msub> </math> -wave (mixing with a subdominant p<sub>x</sub> ∓ ip<sub>y</sub>-wave) component. For a relatively strong displacement field, the ground state is a correlated insulator with the 120° antiferromagnetic order. Our results provide new insights into the nature of the twisted WSe<sub>2</sub> systems and suggest the need for further theoretical and experimental explorations.