论文标题
搜索高温超导率：从Mendeleev到Seiberg-Witten通过Madelung及其他
Searching for high temperature superconductivity: From Mendeleev to Seiberg-Witten via Madelung and beyond
论文作者
论文摘要
最近，在高温超导体领域取得了显着的进步。在兆巴压力下，报告了LAH（10）的最高温度为250K（10）和288K（8）。通过使用化学元件的氢化物来实现最高的温度。从经验上讲，其中许多是由玛德隆（Madelung）的原子制成的。这里提供了理论背景来解释这一观察结果。到目前为止，玛德伦统治是控制Mendeleev的周期性定律。尽管大多数要素确实遵守了这一规则，但仍有一些例外。因此，鉴于实验发现，从理论上得出它及其例外是有意义的。作为一项产品，这样的研究可以对玛德隆（Madelung）除非原子在Hightemperemature超导体设计中的作用产生一些合理的解释。到目前为止，在相对论的哈特里库克计算的帮助下，研究了遵守Madelung规则及其例外的原子。在这项工作中，我们分析了规则和例外。新开发的方法预计在量子多体理论中具有价值，尤其是在高温超导性的理论中。最终，新方法涉及Seiberg-Witten（S-W）理论的一些用途，称为扩展的Ginzburg-Landau超导性理论。利用S-W理论的结果，通过拓扑过渡来解释Madelung期限和Madelung优先原子之间的差异。还讨论了该元素的固体的扩展，也讨论了各个元素的固体
Recently,a noticeable progress had been achieved in the area of high temperature superconductors. The maximum temperature of 250K for LaH(10) and 288K for CSH(8) were reported at the megabar pressures. The highest possible temperatures were achieved by employing hydrides of chemical elements. Empirically, many of these are made of Madelung-exceptional atoms. Here the theoretical background is provided explaining this observation. The, thus far empirical, Madelung rule is controlling Mendeleev's law of periodicity. Although the majority of elements do obey this rule, there are some exceptions. Thus, it is of interest to derive it and its exceptions theoretically in view of experimental findings. As a by product, such a study yields some plausible explanation of the role of Madelung-exceptional atoms in the design of hightemperature superconductors. Thus far the atoms obeying the Madelung rule and its exceptions were studied with help of the relativistic Hartree-Fock calculations. In this work we reobtain both the rule and the exceptions analytically. The newly developed methods are expected to be of value in quantum many-body theory and, in particular, in the theory of high temperature superconductivity. Ultimately, new methods involve some uses of the Seiberg-Witten (S-W) theory known as the extended Ginzburg-Landau theory of superconductivity. Using results of the S-W theory the difference between the Madelung-regular and Madelung-exceptional atoms is explained in terms of the topological transition. Extension of this, single atom, result to solids of respective elements is also discussed
