Electric generation of non-Abelian matrix Berry phases in n-type semiconductor quantum dots

Several different n-type nano semiconductor systems exhibit non-Abelian matrix Berry phases. Non-Abelian matrix Berry phases can be generated by an all electric means in II–VI and III–V n-type semiconductor quantum dots with spin–orbit coupling terms. Non-Abelian matrix Berry phases also appear in semiconductor quantum pumps, and pumped charges can be understood as a manifestation of a non-Abelian matrix Berry phase. In this paper we elucidate the common properties of these semiconductor systems that are responsible for the presence of non-Abelian matrix Berry phases.