Frank's constant in the hexatic phase

Details Frank's constant in the hexatic phase Frank's constant in the hexatic phase

2006-10-12

arxiv.org/abs/cond-mat/0610332v1

Phys. Rev. E 75, 031402 (2007)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.75.031402

Using video-microscopy data of a two-dimensional colloidal system the bond-order correlation function G6 is calculated and used to determine the temperature-dependence of both the orientational correlation length xi6 in the isotropic liquid phase and the Frank constant F_A in the hexatic phase. F_A takes the value 72/pi at the hexatic to isotropic liquid phase transition and diverges at the hexatic to crystal transition as predicted by the KTHNY-theory. This is a quantitative test of the mechanism of breaking the orientational symmetry by disclination unbinding.

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