Volume 126, Number 5, June 2019
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||11 July 2019|
Topological defects in the two-dimensional melting
1 Laboratoire de Physique Théorique (UMR 8627), Université de Paris-Sud, Université Paris-Saclay and CNRS Bâtiment 210, 91405 Orsay Cedex, France
2 Departamento de Física, Universidad de Los Andes - A.A. 4976 Bogotá, Colombia
Received: 16 April 2019
Accepted: 1 June 2019
The melting of crystal phases in two-dimensional systems has been the subject of a large amount of theoretical, numerical and experimental works. Several mechanisms to describe the melting in two dimensions were proposed, e.g., the KTHNY theory and the melting induced by formation of grains boundaries. There are strong evidence that the melting in two dimensions depends crucially on the form and range of the interaction potentials between particles. We report extensive Monte Carlo studies of the melting of the classical two-dimensional crystal for systems of point particles interacting via the potential for and 3; the long ranged interaction is taken into account with the Ewald method. In this contribution, we focus on the statistical analysis of topological defects and of the unbinding transitions of the dislocations and disclinations pairs which permits to obtain a better description of the two-dimensional melting.
PACS: 64.70.D- – Solid-liquid transitions / 64.60.qe – General theory and computer simulations of nucleation / 64.60.an – Finite-size systems
© EPLA, 2019
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