Melting Transition in Two Dimensions
The two-dimensional melting transition
of a lattice of point-like constituents
proceeds in first order
and disclination separate in a single discontinuous transition.
If the lattice constituents
are independent of the dislocations
and there exist an independent material parameter
the ANGULAR STIFFNESS.
If this is sufficiently large,
the transition separates into two continuous
Berezinsky-Kosterlitz-Thouless-type of transitions.
In the first, the dislocation-antidislocation pairs
separate, in the second, the same thing happens to the
Everything is contained in the textbook
Hagen Kleinert: Gauge Fields in Condensed Matter,
World Scientific, 1989.
Vol. II, STRESSES AND DEFECTS
Differential Geometry, Crystal Melting
pp. 743-1456, World Scientific, Singapore 1989
[ISBN 9971-50-210-0 & 9971-50-210-9 (paperback)]
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