7 problems

A gapped invertible phase is a phase of matter with an energy gap and an inverse under stacking; the phases may arise from interacting systems, and a loop-spectrum is a spectrum wh…

Let $psi_1,psi_2:\mathbb{R}^3\rightarrow\mathbb{C}$ be the complex condensate fields of two-component Ginzburg–Landau theory, and let their projective equivalence class define a ma…

Wigner crystal conjecture. At higher fields and lower densities of electrons, the same system is conjectured to be in a Wigner crystal state.

A topological phase is a phase of matter with topological order, and a commuting projector Hamiltonian is a Hamiltonian expressible in terms of mutually commuting local projector t…

Voronoi-facet encoding conjecture. A crystalline phase of a condensed-matter system is fully and uniquely encoded by the facets of its Voronoi cells that are stable throughout that…

Real-space markers conjecture. Real-space markers exist for any crystalline phase.

The anomalous Hall effect is a Hall-like response observed in ferromagnetic materials without an external magnetic field. It is conjectured that this effect arises from internal ma…