Scaling study of the metal-insulator transition in one-dimensional Fermion systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Gu, SJ (Autor) Outra; Pereira, VM (Autor) Outra; Peres, NMR (Autor) Outra

Revista

Título: Physical Review B - Condensed Matter and Materials Physics

Vol. 66

ISSN: 1098-0121

Editora: American Physical Society

Indexação

ISI Web of Knowledge - 10 Citações

Scopus - 10 Citações

Outras Informações

ID Authenticus: P-000-M22

DOI: 10.1103/physrevb.66.235108

Abstract (EN): We consider the Ising phase of the antiferromagnetic XXZ Heisenberg chain on a finite-size lattice with N sites. We compute the large-N behavior of the spin stiffness, obtaining the correlation length xi. We use our results to discuss the scaling behavior of the metal-insulator transitions in one-dimensional systems, taking into account the mapping between the XXZ Heisenberg chain and the spinless fermion model, and known results for the Hubbard model. We study the scaling properties of both the Hubbard model and the XXZ Heisenberg chain by solving numerically the Bethe ansatz equations. We find that for some range of values of xi/N, the scaling behavior may be observed for the Hubbard model but not for the XXZ Heisenberg chain. We show how xi can be obtained from the scaling properties of the spin stiffness for small system sizes. This method can be applied to models having not an exact solution, illuminating their transport properties.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 7