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27 lines
1.0 KiB
ReStructuredText
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Tour 1: Manipulations with local Green functions
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------------------------------------------------
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Let use start with a problem of free electrons : an impurity `d`
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level embedded in a flat conduction bath :math:`\Delta` of `s`-electrons.
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To construct and plot the corresponding 2x2 Green's function:
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.. math::
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\hat{G}^\mathrm{s+d} ( \omega) = \begin{pmatrix} \omega - \epsilon_d & V \\ V & \Delta^{-1} \end{pmatrix}^{-1}
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we first create the corresponding energy
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mesh `a` on the real axis in the energy interval :math:`\omega \in (-2:2]`
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The Green's function is generated using classes of the ``gf.local`` module by setting up
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:math:`\left[\hat{G}^\mathrm{s+d}\right]^{-1}` and inverting it.
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Finally, the obtained bath and impurity densities of states are plotted using the TRIQS function ``oplot``:
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.. plot:: reference/python/green/impinbath.py
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:include-source:
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:scale: 70
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You will find more information on the local Green's function implementation in TRIQS in :ref:`the corresponding chapter of the manual <green>`
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