Computer simulations of two-dimensional melting with dipole-dipole interactions

Details Computer simulations of two-dimensional melting with dipole-dipole interactions Computer simulations of two-dimensional melting with dipole-dipole interactions

2008-06-21

arxiv.org/abs/0806.3528v1

Phys. Rev. E 73, 066106 (2006)

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 12figures

Scientific paper

10.1103/PhysRevE.73.066106

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6 and susceptibility 6 are measured, and the data are fitted to the theoretical ansatz. An algebraic decay is detected for both spatial and temporal bond orientational correlation functions in an intermediate temperature regime, and it provides an explicit evidence for the existence of the hexatic phase. From the finite-size scaling analysis of the global bond orientational order parameter, the disclination unbinding temperature Ti is estimated. In addition, from dynamic Monte Carlo simulations of the positional order parameter, we extract the critical exponents at the dislocation unbinding temperature Tm. All the results are in agreement with those from experiments and support the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory.

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