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Physics

Topological superconductivity in a Hubbard model for twisted bilayer cuprates

T. Vibert, D. Sénéchal

Featured May 28, 2026

Original Paper

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Simply

Twisted bilayer cuprates can host topological superconductivity when electron interactions are weak, allowing for robust edge states that could potentially be used for stable quantum computing applications.

In depth
The paper demonstrates that topological superconductivity can emerge in twisted bilayer cuprates within the weak-interaction regime of the Hubbard model. By utilizing the Variational Cluster Approximation, the authors identify a time-reversal-breaking superconducting phase with a non-zero Chern number that is otherwise suppressed by strong correlations.

Key Takeaways

  • 1
    Nontrivial topological phases with a Chern number of are identified in the electron-doped regime.
  • 2
    The Variational Cluster Approximation effectively captures the emergence of superconductivity and topological order below the Mott transition.
  • 3
    Chiral edge states in a ribbon geometry confirm the topological nature of the superconducting phase.

Conceptual Flow

HIGH LEVEL
1
Methodology

The researchers use a mathematical tool to solve the complex interactions of electrons in a twisted grid.

Twisted Lattice
Hubbard Model
Apply Variational Cluster Approximation
Superconducting State
2
Results

They found that weak interactions allow for a special state that protects information at the edges.

Weak Interaction
Electron Doping
Identify Topological Phase
Robust Edge States