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Physica B Condensed Matter

Electronic structure of the Hubbard and extended Hubbard models: An exact diagonalization study

Y. Ohta, Kenji Tsutsui, Wataru Koshibae, Sadamichi Maekawa

Published Feb 1, 1994• 1 citation
Publisher
DOI
10.1016/0921-4526(94)91284-x

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Abstract We investigate the ground state properties and the energy level statistics of a two-dimensional 3 × 3 square lattice cluster of simple and extended Hubbard model in parameters space − 10 ≤ U, V ≤ 10 for various electron configurations (N e = 10, 8, 6 and 4) within the spin subspace S = 0 using exact diagonalization. In simple Hubbard model, we observe transition from a behavior where electrons remain correlated to lattice sites to electron-paired state as U is varied from positive to negative. In case of extended Hubbard model, we observe tendency for SDW ordering (enhanced by negative V) and CDW ordering (favored by positive V), modulated by electron density. The spectral properties of energy level statistics, analyzed using kernel density estimation, reveal a complex interplay between level attraction and level repulsion, highlighting the tunability of these properties through interaction parameters.