Critical Phase Dualities in 1D Exactly Solvable Quasiperiodic Models

• 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

Título: Physical Review Letters

Vol. 131

ISSN: 0031-9007

Editora: American Physical Society

Indexação

Scopus - 6 Citações

Outras Informações

ID Authenticus: P-00Z-C72

DOI: 10.1103/physrevlett.131.186303

Abstract (EN): We propose a solvable class of 1D quasiperiodic tight-binding models encompassing extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting cases include the Aubry-André model and the models of Sriram Ganeshan, J. H. Pixley, and S. Das Sarma [Phys. Rev. Lett. 114, 146601 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.146601] and J. Biddle and S. Das Sarma [Phys. Rev. Lett. 104, 070601 (2010)PRLTAO0031-900710.1103/PhysRevLett.104.070601]. The analytical treatment follows from recognizing these models as a novel type of fixed points of the renormalization group procedure recently proposed in Phys. Rev. B 108, L100201 (2023)10.1103/PhysRevB.108.L100201 for characterizing phases of quasiperiodic structures. Beyond known limits, the proposed class of models extends previously encountered localized-delocalized duality transformations to points within multifractal critical phases. Besides an experimental confirmation of multifractal duality, realizing the proposed class of models in optical lattices allows stabilizing multifractal critical phases and nontrivial mobility edges in an undriven system without the need for the unbounded potentials required by previous proposals. © 2023 American Physical Society.

Idioma: Inglês

Tipo (Avaliação Docente): Científica