Scaling of the conductance and resistance of square lattices with an exponentially wide spectrum of the resistances of links

The boundary density profile of a Coulomb droplet. Freezing at the edge

“…Here u i j = 1 2 (∂ i u j + ∂ j u i ) is the symmetric strain tensor and C i jkl is the elastic tensor of the crystal in units in which the charge of the particles is e = 1, which was calculated at zero temperature in [53,54]. For a triangular lattice C i jkl is highly symmetric, with only two independent components, the Lamé constants μ and λ.…”

“…The thermodynamic state is one of a crystal at low temperatures Γ > Γ m and a liquid (plasma) state at high temperatures Γ < Γ m [11,12]. As the most stable lattice at zero temperature is the triangular one [13], it seems reasonable to assume that this lattice persists until the melting temperature. The nature of the melting phase transition is less certain.…”