Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-02-04
Phys. Rev. B 73, 224120 (2006)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 4 figures, updated references
Scientific paper
10.1103/PhysRevB.73.224120
In this paper, we apply the method of breaking quantum double symmetries to some cases of defect mediated melting. The formalism allows for a systematic classification of possible defect condensates and the subsequent confinement and/or liberation of other degrees of freedom. We also show that the breaking of a double symmetry may well involve a (partial) restoration of an original symmetry. A detailed analysis of a number of simple but representative examples is given, where we focus on systems with global internal and external (space) symmetries. We start by rephrasing some of the well known cases involving an Abelian defect condensate, such as the Kosterlitz-Thouless transition and one-dimensional melting, in our language. Then we proceed to the non-Abelian case of a hexagonal crystal, where the hexatic phase is realized if translational defects condense in a particular rotationally invariant state. Other conceivable phases are also described in our framework.
Bais Alexander F.
Mathy Charles J. M.
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