Can I read Topological Number of Edge States on EtoBox?

Topological Number of Edge States by Hashimoto, Koji; Kimura, Taro is a scholarly article available to read on EtoBox.

What is Topological Number of Edge States about?

We show that the edge states of the four-dimensional class A system can have topological charges, which are characterized by Abelian/non-Abelian monopoles. The edge topological charges are a new feature of relations among theories with different dimensions. From this novel viewpoint, we provide a non-Abelian analogue of the TKNN number as an edge topological charge, which is defined by an SU(2) 't Hooft-Polyakov BPS monopole through an equivalence to Nahm construction. Furthermore, putting a constant magnetic field yields an edge monopole in a non-commutative momentum space, where D-brane methods in string theory facilitate study of edge fermions.

Author

Hashimoto, Koji; Kimura, Taro

Published

2016

Language

EN