Abstract: Recent discoveries of unexpected electronic phases in multilayer graphene have established these systems as one of the leading candidates for understanding strongly-correlated materials. The phases identified within the density electric-displacement field phase diagram include the spin-singlet superconductors, spin-polarized superconductors, and generalized metallic ferromagnets. This talk will begin with a review of the experimental data that guides our theoretical understanding of magnetism in graphene. Subsequently, I will outline insights from our mean-field study, emphasizing: 1) the important role of momentum-space condensation in the transition from a paramagnetic state to a magnetic one; 2) the influence of multilayer graphene's unique topological band properties on the re-entrance of the paramagnetic state at reduced densities; and 3) the magnetic anisotropic energy landscape of two rival magnetic metals, which we have named valley-Ising and valley-XY phases. This talk will conclude with considerations on outstanding problems in the multilayer graphene phase diagram.
The College of Arts