Study of the Mott Transition in the Three-Dimensional Hubbard Model

• Authors: F. Mancini , V. Turkowski
• Languages of publication: EN

Abstracts

EN

The Mott-Hubbard transition in the three-dimensional Hubbard model is studied by means of the composite operator method. Analytical and numerical calculations show the existence of a critical value U_c of the Coulomb interaction which separates paramagnetic insulating and metallic phases. In the composite operator method the ratio U_c/W, where W is the band width, has the same value as in the two-dimensional case. The ground state of the Mott insulator is characterized by a local antiferromagnetic order where the electrons keep some mobility, but this latter must be compatible with the local ordering. By analyzing the intersite hopping it is possible to establish that some correlation functions behave as order parameters in the insulating phase.

Keywords

EN

71.10.-w; 71.10.Fd; 71.30.+h

Discipline

• 71.30.+h: Metal-insulator transitions and other electronic transitions
• 71.10.-w: Theories and models of many-electron systems
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2002
• Volume: 101
• Issue: 4
• Pages: 505-523

Dates

published

2002-04

received

2001-04-06

(unknown)

2001-12-22

Contributors

author

F. Mancini

• Dipartimento di Fisica "E.R. Caianiello" - Unità INFM di Salerno, Università degli Studi di Salerno, 84081 Baronissi (SA), Italy

author

V. Turkowski

• Dipartimento di Fisica "E.R. Caianiello" - Unità INFM di Salerno, Università degli Studi di Salerno, 84081 Baronissi (SA), Italy

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Identifiers

DOI

10.12693/APhysPolA.101.505