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