Abstract
The mean field theory with the replica method is proposed to represent the two-dimensional metallic glass system. We introduce the order parameter, which identifies the two-dimensional glass phase, by using the topological number of the frozen hedgehog-like soliton based on the gauge-invariant Lagrangian with spontaneous symmetry breaking. On the basis of the present theoretical formula, a qualitative picture of supercooled metallic liquids in the two-dimensional system will be discussed.
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