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

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Gu, SJ (Author) Other; Pereira, VM (Author) Other; Peres, NMR (Author) Other

Journal

Title: Physical Review B - Condensed Matter and Materials Physics

Vol. 66

ISSN: 1098-0121

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 10 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7