Eur. Phys. J. B 29, 399-417 (2002)
https://doi.org/10.1140/epjb/e2002-00323-6

The 1D Hubbard model within the Composite Operator Method

¹ Dipartimento di Fisica “E.R. Caianiello” – Unità di Ricerca INFM di Salerno Università degli Studi di Salerno, 84081 Baronissi (SA), Italy
² Departamento de Ciencia y Tecnologiá de Materiales, Universidad Miguel Hernández, 03202 Elche (Alicante), Spain

Corresponding author: ^a avella@sa.infn.it

Received: 22 December 2001
Revised: 26 June 2002
Published online: 14 October 2002

Abstract

Although effective for two dimensional (2D) systems, some approximations may fail in describing the properties of one-dimensional (1D) models, which belong to a different universality class. In this paper, we analyze the adequacy of the Composite Operator Method (COM), which provides a good description of many features of 2D strongly correlated systems, in grasping the physics of 1D models. To this purpose, the 1D Hubbard model is studied within the framework of the COM by considering a two-pole approximation and a paramagnetic ground state. The local, thermodynamic and single-particle properties, the correlation functions and susceptibilities are calculated in the case of half filling and arbitrary filling. The results are compared with those obtained by the Bethe ansatz (BA) as well as by other numerical and analytical techniques. The advantages and limitations of the method are analyzed in detail.