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Mattis, Daniel C. | Phase transition of model interacting chains | The partition function of n interacting chains having a phase transition at Tc(n) is reduced, by the transfer-matrix formalism, to the determination of an w-body bound state in one dimension. Subject to mild restrictions on the potentials, this w-body problem can be analyzed in terms of a two-body p... | Phase transition; Interacting chains | 1981-12 |
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Mattis, Daniel C. | Second-order phase transition in a model random alloy | We investigate the existence and stability of long-range order in a simple model of a binary alloy. We find that for electron concentrations in the vicinity of one per atom, in bipartite lattices, long-range order of the atoms exists at low temperatures, and we find that the system undergoes a secon... | Phase transition; Random alloys; Quasiparticles; Density of state | 1973-03 |