mirror of
https://github.com/triqs/dft_tools
synced 2024-11-01 19:53:45 +01:00
55 lines
2.4 KiB
ReStructuredText
55 lines
2.4 KiB
ReStructuredText
|
.. index::
|
||
|
|
single: Green's functions; block Green's function
|
||
|
|
module: gf_imfreq
|
||
|
|
|
||
|
|
.. _GfImFreq:
|
||
|
|
|
||
|
|
Matsubara Green's function in imaginary frequencies (GfImFreq)
|
||
|
|
=====================================================================================
|
||
|
|
|
||
|
|
This object stores a matrix valued Green function in imaginary frequencies
|
||
|
|
in the Matsubara formalism :
|
||
|
|
|
||
|
|
.. math::
|
||
|
|
G_{\alpha \beta} (i \omega_n) \equiv \int_0^\beta G_{\alpha \beta} ( \tau) e^{-i \omega_n \tau}
|
||
|
|
|
||
|
|
where :math:`G(\tau)` is the :ref:`Matsubara Green function in imaginary time <GfImTime>`.
|
||
|
|
|
||
|
|
|
||
|
|
Reference
|
||
|
|
---------------
|
||
|
|
|
||
|
|
.. autoclass:: pytriqs.gf.local.GfImFreq
|
||
|
|
:members: density, set_from_fourier, set_from_legendre
|
||
|
|
|
||
|
|
|
||
|
|
HDF5 data scheme
|
||
|
|
^^^^^^^^^^^^^^^^^^^^^^
|
||
|
|
|
||
|
|
The GfImFreq (TRIQS_HDF5_data_scheme= "GfImFreq") is decomposed in the following objects :
|
||
|
|
|
||
|
|
========================= =========================== ===========================================================================
|
||
|
|
Name Type Meaning
|
||
|
|
========================= =========================== ===========================================================================
|
||
|
|
Mesh MeshGf The mesh
|
||
|
|
Tail TailGf The tail
|
||
|
|
Data 3d numpy of complex Data[i1,i2,n] is the element of the Green function where :
|
||
|
|
* i1, i2 are the indices
|
||
|
|
* n is the Matsubara index
|
||
|
|
|
||
|
|
For real GF in time, we store only starting from n=0 and the
|
||
|
|
rest is deduced by symmetry
|
||
|
|
IndicesL,IndicesR string The Python repr of the indices, e.g. (1,2), or (1,)
|
||
|
|
repr(this_string) reproduces the indices
|
||
|
|
Name string Name of the Green function block
|
||
|
|
Note string Note
|
||
|
|
========================= =========================== ===========================================================================
|
||
|
|
|
||
|
|
|
||
|
|
Example
|
||
|
|
---------------
|
||
|
|
|
||
|
|
.. plot:: reference/python/green/block/green_imfreq.py
|
||
|
|
:include-source:
|
||
|
|
:scale: 70
|