3 problems

Localization dichotomy conjecture. The following statements are equivalent: (a) $P$ admits a generalized Wannier basis that is exponentially localized; (b) $P$ admits a generalized…

Chern marker conjecture. The Chern marker characterizes the existence of a localized generalized Wannier basis for gapped non-periodic systems: vanishing of $C(P)$ should be equiva…

Localization Dichotomy Conjecture. The following statements are equivalent: $P$ admits a generalized Wannier basis that is exponentially localized; $P$ admits a generalized Wannier…