Many-body effects and exotic states in valley Hall domain walls

Investigate how the single-particle scattering and tunneling effects in gate-defined Bernal bilayer graphene should be combined with electron-electron interactions and charge loading of domain walls, including whether exotic states such as superconductivity or Wigner crystals can form.

Background

The paper studies valley Hall domain-wall modes using a coherent, spinless, single-particle tight-binding description. Its electrostatic and impurity potentials are also treated as uniform and static. The authors explicitly identify the inclusion of electron-electron interactions and charge loading as an unresolved direction, together with determining whether correlated or otherwise exotic states—including superconductivity and Wigner crystals—can form in the domain walls. Such an extension would assess the limitations of the single-particle picture and explore possible many-body phases in gate-defined bilayer graphene devices.