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.