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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Gonçalves, M (Autor) Outra; Amorim, B (Autor) Outra; Eduardo V Castro (Autor) FCUP; Ribeiro, P (Autor) Outra

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: PHYSICAL REVIEW B

Vol. 108

ISSN: 2469-9950

Indexação

Scopus - 1 Citação

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica