Phase Diagrams and Charge-Spin Separation in Two and Four Site Hubbard Clusters

Details Phase Diagrams and Charge-Spin Separation in Two and Four Site Hubbard Clusters Phase Diagrams and Charge-Spin Separation in Two and Four Site Hubbard Clusters

2005-10-23

arxiv.org/abs/cond-mat/0510609v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 figures

Scientific paper

The charge spin-separation, pseudogap formation and phase diagrams are studied in two and four site Hubbard clusters using analytical diagonalization and grand canonical ensemble method in a multidimensional parameter space of temperature, magnetic field, on-site Coulomb interaction ($U\ge 0$), and chemical potential. The numerically evaluated, exact expressions for charge and spin susceptibilities provide clear evidence for the existence of true gaps in the ground state and pseudogaps in a limited range of temperature. In particular, Mott-Hubbard type charge crossover, spin pseudogap and magnetic correlations with antiferromagnetic (spin) pseudogap structure for two and four site clusters closely resemble the pseudogap phenomena and the normal-state phase diagram in high T$_c$ superconductors. ~ ~

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