Ground state of classical bilayer Wigner crystals

¹ Institute of Physics, Slovak Academy of Sciences, Bratislava, Slovakia, EU
² Université Paris-Sud, Laboratoire de Physique Théorique et Modèles Statistiques, UMR CNRS 8626 91405 Orsay, France, EU

Received: 5 March 2012
Accepted: 13 April 2012

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.