Ground State Properties Of The One-Dimensional Hubbard Model: Symmetry\n Projected Variational Wave Function Approach

2021/03/31 by Robinson O. Okanigbuan, Okanigbuan, Robinson O., Kingsley N. Onaiwu +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Condensed Matter Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el)

paper · pdf · doi:10.48550/arxiv.2103.17046

openalex publication_date 2021/03/31 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We use the C_4v symmetry group of the 4-site Hubbard model to construct a\nground state variational wave function of two- and four interacting electrons.\nIn the limit U\→ 0, ground state energies of the two- and four\ninteracting electrons system is of the order -4t. The variational wave\nfunction of the four interacting electrons obtained using the B₁ irreducible\nrepresentation is valid for on-site Coulomb repulsion, while the one obtained\nusing the A₁ representation is valid for negative values of the Coulomb\ninteraction. The system exhibits antiferromagnetic correlations.\n

Citations

• Electron correlations in narrow energy bands

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