mirror of
https://github.com/triqs/dft_tools
synced 2024-12-26 14:23:38 +01:00
26 lines
829 B
ReStructuredText
26 lines
829 B
ReStructuredText
|
|
Dynamical mean-field theory on a Bethe lattice
|
|
----------------------------------------------
|
|
|
|
.. note::
|
|
|
|
Requires TRIQS and the :doc:`application cthyb_matrix <../../applications>`
|
|
|
|
|
|
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
|
|
|
|
|