The Dimer Hubbard Model¶

This gallery covers the investigation done around the Dimer Hubbard Model in a Bethe lattice. I allows to establish a connection between a Mott insulator and a band insulator.

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Dimer Bethe lattice

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Dimer Mott transition Optical response with temperature

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Dimer Mott transition Optical response

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Internal Energy in dimer solutions

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The change of Sigma_12

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Form of the Greens Functions

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Evolution of DOS as function of temperature

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Evolution of DOS as function of temperature

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Study the behavior of the Dimer Bethe lattice in the Transition

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Thermodynamics of the metallic Dimer lattice

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Study the behavior of the Dimer Bethe lattice in the Transition

../_images/sphx_glr_plot_thermodynamics_ins_tp0.8_thumb.png

Thermodynamics of the Band insulator in the Dimer lattice

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Hubbard I for dimer diagonal basis

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Hubbard I for dimer

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Thermodynamics of the insulator Dimer lattice

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Comparing the effect of disorder

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IPT Solver for a dimer

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IPT Solver for a dimer

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Scattering rates change across the Metal Insulator Transition

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Dispersion of the spectral function

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Various schemes for obtaining the spectral dispersion

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Phase diagrams on Bandwidth

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Evolution of DOS as function of temperature

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Hubbard III for dimer

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Landau Theory of the Mott transition

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Landau Theory of the Mott transition

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Optical conductivity of bonding Spectral Function

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Isolated molecule spectral function

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Comparing Spectral functions

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Isolated molecule spectral function 2

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../_images/sphx_glr_plot_docc_transition_below_QCP_thumb.png

Landau Theory of the Mott transition

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Evolution of DOS as function of temperature

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Dispersion of the spectral function

../_images/sphx_glr_plot_ipt_insulator_thumb.png

../_images/sphx_glr_plot_scattering_thumb.png

Scattering rates change in Temperature

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../_images/sphx_glr_plot_re_T_dos_thumb.png

Evolution of DOS as function of temperature

../_images/sphx_glr_plot_sigma_zero_freq_thumb.png

Zero frequency behavior of Sigma

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