Correlation Induced Optimization of Wave Functions: the Hubbard Chain

• Authors: J. Spałek , R. Podsiadły , W. Wójcik
• Languages of publication: EN

Abstracts

EN

We determine the explicit form of the single-particle Wannier functions {w_{i}(r)} appearing in the parameters of quantum models. The method is illustrated on the example of the Hubbard chain, for which we derive the renormalized wave equation starting from a variational principle and by treating the system ground state energy as a functional of {w_{i}(r)} and their derivatives. In this manner, the optimized basis is obtained only after the electronic correlations have been included in the rigorous Lieb-Wu solution. The results for the ground state energy and the size of the renormalized s-type orbitals, both as a function of interatomic distance, are calculated explicitly.

Keywords

EN

71.10.Fd; 71.15.Fv; 31.25.Nj

Discipline

• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)

• Journal: Acta Physica Polonica A
• Year: 2000
• Volume: 97
• Issue: 3
• Pages: 381-384

Dates

published

2000-03

Contributors

author

J. Spałek

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

author

R. Podsiadły

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

author

W. Wójcik

• Institute of Physics, Tadeusz Kościuszko Technical University, Podchorążych 1, 30-084 Kraków, Poland

Identifiers

DOI

10.12693/APhysPolA.97.381