2 problems

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Frank–Lieb conjecture on 3-periodic symmetric minimizers in graphene
Let ${\mathbf a}_1,{mathbf a}_2:= (\sqrt{3}/2, \pm1/2)$ generate the triangular lattice ${\mathbb L}_2$ , and let ${\mathbb L}_6$ be the triangular sublattice defining a six-atom gr…
Conjectureopengraphene peierls-instability tight-binding-modelsarXiv posted 2 days ago
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Conjecture on the uniqueness of the graphene phase transition
Let $\mathcal{E}$ be the energy of the distorted graphene model, and let $0 < \mu_c \leq \mu_c' < \infty$ be the critical parameters such that sufficiently small $\mu$ gives strict…
Conjectureopengraphene peierls-instability phase-transitionsarXiv posted 2 days ago

Frank–Lieb conjecture on 3-periodic symmetric minimizers in graphene