The New Concept of Transitions by Breaking of Analyticity in a Crystallographic Model
The New Concept of Transitions by Breaking of Analyticity in a Crystallographic Model
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晶体学模型中解析性的破坏带来的转变新概念
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发表时间：
1978
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通讯作者：
S. Aubry
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作者：
S. Aubry
相变，例如，在Peierls准一维金属[2]中与相称的调制晶体[1]金属-绝缘体不相称，在吸附（或吸附）原子单层[3]中未登记到登记，表现出新的和意想不到的特征。尽管其他问题，如零宽度中心峰现象[4]，Anderson-Mott金属-绝缘体转变[5]，自旋玻璃转变[6]看起来非常不同，但我们相信我们在本文中开发的想法应该与提出一种新的方法有关。本文的主要主题是描述零度K下非常简单的一维外延模型的相变与参数的关系。大多数结果是严格的，但他们的证明太长，被省略。我们试图强调缺陷性和挫折这两个耦合概念在这种新的相变起源中的作用。
Phase transitions such as for example, incommensurate to commensurate modulated cristal [1] metal-insulator in Peierls quasi-one dimensional metals [2] , non registered to registered in adsorbed (or intersticial) atomic monolayers [3] exhibit new and unexpected features. Despite other problems like the zero-width central peak phenomena [4] , the Anderson-Mott metal-insulator transition [5] , the spin-glass transitions [6] look very different, we believe that the ideas that we develop in this paper, should be relevant to suggest a new approach to them. The main topic of this paper is the description of the phase transitions versus parameters of a very simple one-dimensional model for epitaxy at zero degree K. Most results are rigorous but their proofs which are too long, are omitted. We try to emphasize the role of two coupled concepts of defectibility and of frustration in the origin of this new kind of phase transitions.