1999/08/18 by I. V. Schweigert, V. A. Schweigert, F. M. Peeters
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Bilayer #Chemistry #Condensed matter physics #Coulomb #Ising model #Lattice (music) #Material Dynamics and Properties #Materials science #Mathematics #Membrane #Monte Carlo method #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Square lattice #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Wigner crystal #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.60.14665
Accepted for publication in Physical Review B
arxiv created 1999/08/18 · openalex publication_date 1999/12/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
The stability and melting transition of a single layer and a bilayer crystal consisting of charged particles interacting through a Coulomb or a screened Coulomb potential is studied using the Monte Carlo technique. A new melting criterion is formulated which we show to be universal for bilayer as well as for single-layer crystals in the case of (screened) Coulomb, Lennard-Jones, and 1/r12 repulsive interparticle interactions. The melting temperature for the five different lattice structures of the bilayer Wigner crystal is obtained, and a phase diagram is constructed as a function of the interlayer distance. We found the surprising result that the square lattice has a substantially larger melting temperature as compared to the other lattice structures. This is a consequence of the specific topology of the defects which are created with increasing temperature and which have a larger energy as compared to the defects in, e.g., a hexagonal lattice.