Ground state of classical bilayer Wigner crystals

Abstract

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for the exact Coulombic energies under scrutiny. The complete phase transition scenario --including critical phenomena-- can subsequently be worked out in detail, thereby unifying a rather scattered or contradictory body of literature, hitherto plagued by the inaccuracies inherent to long range interaction potentials.

References in corpus (6)

• Interaction-Driven Spectrum Reconstruction in Bilayer Graphene
• Stability of boron nitride bilayers: Ground state energies, interlayer distances, and tight-binding description
• Reentrant transitions in colloidal or dusty plasma bilayers
• Bjerrum pairing correlations at charged interfaces
• Wigner-Crystal Formulation of Strong-Coupling Theory for Counter-ions Near Planar Charged Interfaces
• Ground state structure and interactions between dimeric 2D Wigner crystals

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• Taking one charge off a two-dimensional Wigner crystal
• Two-dimensional Wigner crystals of classical Lennard-Jones particles
• Phase diagram and critical properties of Yukawa bilayers
• The asymmetric Wigner bilayer
• Counter-ion density profile around a charged disk: from the weak to the strong association regime
• One-dimensional colloidal model with dielectric inhomogeneity
• Defect liquids in a weakly imbalanced bilayer Wigner Crystal
• Separation of Wigner structures for 2D equimolar binary mixtures of Coulomb particles
• Ordered ground state configurations of the asymmetric Wigner bilayer system -- revisited: an unsupervised clustering algorithm analysis
• Tricriticality for dimeric Coulomb molecular crystals in ground state