Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-02-11
Phys.Rev.B58:8667,1998
Physics
Condensed Matter
Disordered Systems and Neural Networks
17 pages Latex with 5 eps figures, change: acknowledgment extended
Scientific paper
10.1103/PhysRevB.58.8667
The combined effect of disorder and symmetry-breaking fields on the two-dimensional XY model is examined. The study includes disorder in the interaction among spins in the form of random phase shifts as well as disorder in the local orientation of the field. The phase diagrams are determined and the properties of the various phases and phase transitions are calculated. We use a renormalization group approach in the Coulomb gas representation of the model. Our results differ from those obtained for special cases in previous works. In particular, we find a changed topology of the phase diagram that is composed of phases with long-range order, quasi-long-range order, and short-range order. The discrepancies can be ascribed to a breakdown of the fugacity expansion in the Coulomb gas representation. Implications for physical systems such as planar Josephson junctions and the faceting of crystal surfaces are discussed.
Lehnen Michael
Scheidl Stefan
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