A renormalization group study of persistent current in a quasiperiodic ring

TL;DR

This paper introduces a real-space renormalization group method using Green's functions to accurately compute persistent currents in large quasiperiodic rings, surpassing traditional approaches in precision and scalability.

Contribution

The study develops a novel renormalization group approach for persistent current calculation in quasiperiodic rings, enhancing accuracy and applicability to large systems.

Findings

High-precision current evaluation in large rings

Effective handling of quasiperiodic structures

Applicable to micron-scale systems

Abstract

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.