Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-08-31
Physics
Condensed Matter
Disordered Systems and Neural Networks
Article in honor of Mike Thorpe's 60th birthday (to appear in J. Phys: Cond Matt.)
Scientific paper
10.1088/0953-8984/16/44/015
Many properties of disordered materials can be understood by looking at idealized structural models, in which the strain is as small as is possible in the absence of long-range order. For covalent amorphous semiconductors and glasses, such an idealized structural model, the continuous-random network, was introduced 70 years ago by Zachariasen. In this model, each atom is placed in a crystal-like local environment, with perfect coordination and chemical ordering, yet longer-range order is nonexistent. Defects, such as missing or added bonds, or chemical mismatches, however, are not accounted for. In this paper we explore under which conditions the idealized CRN model without defects captures the properties of the material, and under which conditions defects are an inherent part of the idealized model. We find that the density of defects in tetrahedral networks does not vary smoothly with variations in the interaction strengths, but jumps from close-to-zero to a finite density. Consequently, in certain materials, defects do not play a role except for being thermodynamical excitations, whereas in others they are a fundamental ingredient of the ideal structure.
Barkema Gerard T.
Mousseau Normand
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