:orphan:
.. _general_examples:
=============
DMFT examples
=============
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="The Bethe lattice has a simple form of the self-consistency. This is solved by iteration where ...">
.. only:: html
.. figure:: /auto_examples/images/thumb/sphx_glr_plot_bethe_thumb.png
:ref:`sphx_glr_auto_examples_plot_bethe.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_bethe
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<div class="sphx-glr-thumbcontainer" tooltip="Atomic limit expression of the self-energy is described by">
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.. figure:: /auto_examples/images/thumb/sphx_glr_plot_hubbardI_bethe_thumb.png
:ref:`sphx_glr_auto_examples_plot_hubbardI_bethe.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_hubbardI_bethe
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<div class="sphx-glr-thumbcontainer" tooltip="In this approach the aim is to find the band dispersion of the insulating system but including ...">
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.. figure:: /auto_examples/images/thumb/sphx_glr_plot_hubbardIII_thumb.png
:ref:`sphx_glr_auto_examples_plot_hubbardIII.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_hubbardIII
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<div class="sphx-glr-thumbcontainer" tooltip="Atomic limit expression of the self-energy is described by">
.. only:: html
.. figure:: /auto_examples/images/thumb/sphx_glr_plot_hubbardI_thumb.png
:ref:`sphx_glr_auto_examples_plot_hubbardI.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_hubbardI
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<div class="sphx-glr-thumbcontainer" tooltip="An Isolated atom with non-interacting electrons is set under the influence of an external magne...">
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.. figure:: /auto_examples/images/thumb/sphx_glr_plot_atom_field_thumb.png
:ref:`sphx_glr_auto_examples_plot_atom_field.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_atom_field
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="For the case of contact interaction in the single orbital case the atomic Green function as giv...">
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.. figure:: /auto_examples/images/thumb/sphx_glr_plot_atom_thumb.png
:ref:`sphx_glr_auto_examples_plot_atom.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_atom
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Transforming the non-interacting Green's Function for the Bethe lattice. Using the analytical ...">
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.. figure:: /auto_examples/images/thumb/sphx_glr_plot_fourier_thumb.png
:ref:`sphx_glr_auto_examples_plot_fourier.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/plot_fourier
.. raw:: html
<div style='clear:both'></div>
.. _examples_IPT:
Simple IPT solver
=================
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Using a real frequency IPT solver follow the spectral function along the metal to insulator tra...">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_mit_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_mit.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_mit
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Study the end of the crossover region ">
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.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_crossover_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_crossover.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_crossover
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Have a look at the coexistence region and the metal insulator transition from the point of view...">
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.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_bandwidth_transition_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_bandwidth_transition.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_bandwidth_transition
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Using the formalism presented in [1]_ I calculate the stability of the IPT solution within the ...">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_free_transition_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_free_transition.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_free_transition
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Within the iterative perturbative theory (IPT) the aim is to find the coexistance regions.">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_ipt_coex_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_ipt_coex.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_ipt_coex
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Here I plot the form of the Green's function in the upper complex plane. To show the connection...">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_analytical_structure_gf_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_analytical_structure_gf.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_analytical_structure_gf
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="As the Energy calculations from IPT source is not reliable enough another methods is also teste...">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_stability_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_stability.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_stability
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Within the iterative perturbative theory (IPT) the aim is to express the self-energy of the imp...">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_ipt_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_ipt.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_ipt
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Perform a fit of the order parameter, linked to double occupation to match a Landau theory form...">
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.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_transition_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_transition.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_transition
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="To study the stability of the solutions in the coexistence region">
.. only:: html
.. figure:: /auto_examples/IPT/images/thumb/sphx_glr_plot_energies_thumb.png
:ref:`sphx_glr_auto_examples_IPT_plot_energies.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/IPT/plot_energies
.. raw:: html
<div style='clear:both'></div>
.. _twosite_examples:
Two Site DMFT examples
======================
This section reproduces the concepts presented in:
- Potthoff, M. (2001). Two-site dynamical mean-field theory. Physical
Review B, 64(16),
165114. http://dx.doi.org/10.1103/PhysRevB.64.165114
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Ploting the Quasiparticle weight at different local interaction strenghts at different doping a...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_dop_z_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_dop_z.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_dop_z
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Plot of the Quasiparticle weigth decay for the Hubbard Model in the Bethe Lattice as the local ...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_halffill_z_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_halffill_z.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_halffill_z
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Plot of the double occupation average on the Impurity site as a function of the lattice doping ...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_dop_d_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_dop_d.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_dop_d
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Sequence of plots showing the transfer of spectral weight for a Hubbard Model in the Bethe Latt...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_dop_A_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_dop_A.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_dop_A
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Sequence of plots showing the transfer of spectral weight for a Hubbard Model in the Bethe Latt...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_halffill_matsubara_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_halffill_matsubara.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_halffill_matsubara
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="Sequence of plots showing the transfer of spectral weight for a Hubbard Model in the Bethe Latt...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_halffill_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_halffill.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_halffill
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="What does the insulator show for Hubbard bands. They are sharp as in the Hubbard I approximatio...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_dispersion_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_dispersion.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_dispersion
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="In this case one solves the two site problem for all doping cases at various local interaction ...">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_plot_dop_thumb.png
:ref:`sphx_glr_auto_examples_twosite_plot_dop.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/plot_dop
.. raw:: html
<div class="sphx-glr-thumbcontainer" tooltip="">
.. only:: html
.. figure:: /auto_examples/twosite/images/thumb/sphx_glr_twosite_halffill_thumb.png
:ref:`sphx_glr_auto_examples_twosite_twosite_halffill.py`
.. raw:: html
</div>
.. toctree::
:hidden:
/auto_examples/twosite/twosite_halffill
.. raw:: html
<div style='clear:both'></div>
.. container:: sphx-glr-footer
.. container:: sphx-glr-download
:download:`Download all examples in Python source code: auto_examples_python.zip <//home/oscar/dev/dmft-learn/doc/auto_examples/auto_examples_python.zip>`
.. container:: sphx-glr-download
:download:`Download all examples in Jupyter notebooks: auto_examples_jupyter.zip <//home/oscar/dev/dmft-learn/doc/auto_examples/auto_examples_jupyter.zip>`
.. rst-class:: sphx-glr-signature
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