Chiral nonlinear σ models as models for topological superconductivity
Chiral nonlinear σ models as models for topological superconductivity
复制标题
DOI：
10.1103/physrevlett.86.1319
复制
发表时间：
2001-02-12
影响因子：
8.6
通讯作者：
Wiegmann, PB
中科院分区：
文献类型：
--
作者：
Abanov, AG;Wiegmann, PB
我们研究了在一个层次链的手性非线性西格玛模型（电流代数模型）在一个，两个和三个空间维度的拓扑超导性的机制。这些模型说明了一维Frohlich的理想导电性如何扩展到高于一维的真正超导性。该机制是基于点状拓扑孤子带有电荷的事实。我们讨论了通量量子化机制，并表明它本质上是一个泛化的持续电流现象，已知的量子线。Vile还讨论了为什么超导态在弱无序的情况下是稳定的。
We study the mechanism of topological superconductivity in a hierarchical chain of chiral nonlinear sigma models (models of current algebra) in one, two, and three spatial dimensions. The models illustrate how the 1D Frohlich's ideal conductivity extends to a genuine superconductivity in dimensions higher than one. The mechanism is based on the fact that a pointlike topological soliton carries on electric charge. We discuss a flux quantization mechanism and show that it is essentially a generalization of the persistent current phenomenon, known in quantum wires. Vile also discuss why the superconducting state is stable in the presence of a weak disorder.