Ground state of classical bilayer Wigner crystals

L. Samaj; E. Trizac

doi:10.1209/0295-5075/98/36004

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arXiv · 1205.2460

Ground state of classical bilayer Wigner crystals

L. Samaj·E. Trizac

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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.

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L. Samaj, E. Trizac. 2012-05-11. Ground state of classical bilayer Wigner crystals. https://doi.org/10.1209/0295-5075/98/36004

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