Theory of Two-Dimensional Melting

作者：Bertrand I. Halperin, David R. Nelson · 发表于：Physical Review Letters · 年份：1978 · DOI：10.1103/physrevlett.41.121 · 被引用次数：1970 · 研究领域：Theoretical and Computational Physics、Material Dynamics and Properties、nanoparticles nucleation surface interactions

The consequences of a theory of dislocation-mediated two-dimensional melting are worked out for triangular lattices. Dissociation of dislocation pairs first drives a transition into a "liquid crystal" phase with exponential decay of translational order, but power-law decay of sixfold orientational order. A subsequent dissociation of disclination pairs at a higher temperature then produces an isotropic fluid. The critical behavior, as well as the effect of a periodic substrate, is discussed.