Renormalization group theory of one-dimensional quasiperiodic lattice models with commensurate approximants

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Gonçalves, M (Author) Other; Amorim, B (Author) Other; Eduardo V Castro (Author) FCUP; Ribeiro, P (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: PHYSICAL REVIEW B

Vol. 108

ISSN: 2469-9950

Indexing

Scopus - 1 Citation

Other information

Authenticus ID: P-00Z-48V

DOI: 10.1103/physrevb.108.l100201

Abstract (EN): We develop a renormalization group (RG) description of the localization properties of one-dimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of quasiperiodic systems are characterized by RG fixed points associated with renormalized single-band models. We identify fixed points that include many previously reported exactly solvable quasiperiodic models. By classifying relevant and irrelevant perturbations, we show that the phase boundaries of more generic models can be determined with exponential accuracy in the approximant's unit cell size, and in some cases analytically. Our findings provide a unified understanding of widely different classes of 1D quasiperiodic systems. ©2023 American Physical Society.

Language: English

Type (Professor's evaluation): Scientific