论文标题
PEIERLS模型的聚乙炔
Phase transition in the Peierls model for polyacetylene
论文作者
论文摘要
在温度的存在下，我们考虑了具有均匀数量的碳原子和无限链的封闭聚乙二醇链的PEIERLS模型。我们证明了临界温度的存在，在该温度下，链被二聚并在其上是1周期。链条的行为就像临界温度以下的绝缘体一样，就像上面的金属一样。我们表征了热力学极限模型中的临界温度，并证明它在链的刚度中呈指数较小。我们研究围绕此临界温度的相变。
We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existence of a critical temperature below which the chain is dimerized, and above which it is 1-periodic. The chain behaves like an insulator below the critical temperature and like a metal above it. We characterize the critical temperature in the thermodynamic limit model, and prove that it is exponentially small in the rigidity of the chain. We study the phase transition around this critical temperature.
