Topological number of edge states

Article

关键词: CHIRAL FERMIONS;    GAUGE-THEORIES;    INSULATORS;    SUPERCONDUCTORS;    MONOPOLES;    EQUATIONS;    LATTICE;    BRANES;   

DOI  :  10.1103/PhysRevB.93.195166

来源: SCIE

【 摘 要 】

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 analog 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 noncommutative momentum space, where D-brane methods in string theory facilitate study of edge fermions.

【 授权许可】

Free