Application of the SD technique for solving a BCS-reduced Hubbard like Hamiltonian

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · International Journal of Modern Physics C

DOI:https://doi.org/10.1142/S0129183197000916· OSTI ID:569819

Fettes, W; Morgenstern, I; Husslein, T ^[1]

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1. Universitaet Regensburg (Germany)

The authors present exact and stochastic diagonalization results for a BCS-reduced Hubbard model. The kinetic Hamiltonian is the same as in the single band Hubbard model with additional next nearest neighbor hopping. The interaction of this model is designed to inhibit superconductivity in the d{sub x{sup 2}{minus}y{sup 2}} channel. The ground state of this model is studied by exact and stochastic diagonalization technique. The authors present a review of the technical details of the application of the stochastic diagonalization algorithm on this problem. To verify their results obtained with the stochastic diagonalization, they are compared with the exact diagonalization results. In order to show the convergence of the stochastic diagonalization the authors give a detailed analysis of the behavior of physical properties with increasing number of states. Finally they study superconductivity in this BCS-reduced Hubbard model. As an indicator of superconductivity they use the occurrence of Off Diagonal Long Range Order. The authors study the scaling behavior of this model for various attractive interactions and in addition the dependence of the superconducting correlation functions from the filling of the system.

• OSTI ID: 569819
• Journal Information: International Journal of Modern Physics C, Journal Name: International Journal of Modern Physics C Journal Issue: 5 Vol. 8; ISSN 0129-1831; ISSN IJMPEO
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
BCS THEORY
COPPER OXIDES
HIGH-TC SUPERCONDUCTORS
HUBBARD MODEL
ORDER PARAMETERS
SYMMETRY