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dft_tools/doc/tutorials/python/dmft.rst
Michel Ferrero f7fad85fca Iteration over the doc
This is an iteration over the doc mainly thank to Priyanka.
I fixed another couple of details on the way.
2013-12-31 14:22:00 +01:00

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Dynamical mean-field theory on a Bethe lattice
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`Requires TRIQS and the application cthyb_matrix`
In the case of Bethe lattice the dynamical mean-field theory (DMFT) self-consistency condition takes a particularly simple form
.. math::
G^{-1}_{0,\sigma} (i \omega_n) = i \omega_n + \mu - t^2 G_{\sigma} (i \omega_n).
Hence, from a strictly technical point of view, in this case the DMFT cycle can be implemented by modifying
the previous single-impurity example to the case of a bath with semi-circular density of states and adding a python loop to update :math:`G_0` as function of :math:`G`.
Here is a complete program doing this plain-vanilla DMFT on a half-filled one-band Bethe lattice:
.. literalinclude:: ./dmft.py