A renormalization group study of persistent current in a quasiperiodic ring

•An accurate way of determining persistent current in a large sized rings having self-similar structures has been established.•A method relying on the RSRG approach to evaluate persistent current has been used.•The concept of the density of persistent current in terms of Green's functions has been introduced.

We propose a real-space renormalization group approach for evaluating persistent current in a multi-channel quasiperiodic Fibonacci tight-binding ring based on a Green's function formalism. Unlike the traditional methods, the present scheme provides a powerful tool for the theoretical description of persistent current with a very high degree of accuracy in large periodic and quasiperiodic rings, even in the micron scale range, which emphasizes the merit of this work.