Nonadiabatic noncyclic geometric phase and ensemble average spectrum of conductance in disordered mesoscopic rings with spin-orbit coupling

Shi-Liang Zhu, Z. D. Wang

We generalize Yang's theory from the U(1) gauge field to the non-Abelian $U(1)\times SU(2{)}_{spin}$ gauge field. Based on this generalization and taking into account the geometric P…