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[doc] Replace CTSEG-J by CTSEG in doc pages
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doc/about.rst

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.. _about:
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About CTSEG-J
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About CTSEG
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*************
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The CTSEG-J solver has been written by N. Kavokine and O. Parcollet, with contriubtions from H. Lu and N. Wentzell. The algorithm has been
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The CTSEG solver has been written by N. Kavokine and O. Parcollet, with contriubtions from H. Lu and N. Wentzell. The algorithm has been
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introduced in [J. Otsuki, Phys. Rev. B 87, 125102 (2013)].
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The authors thank T. Ayral and M. Ferrero for sharing their unpublished implementation of CTSEG, which served as an inspiration

doc/index.rst

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The Segment Picture Solver
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**************************
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The :ref:`TRIQS-based <triqslibs:welcome>` hybridization-expansion **segment picture** solver (CTSEG-J)
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The :ref:`TRIQS-based <triqslibs:welcome>` hybridization-expansion **segment picture** solver (CTSEG)
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can tackle the generic problem of a quantum impurity coupled to an external environement (bath). The "impurity" can
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be any set of orbitals, on one or several atoms. The CTSEG-J solver supports (possibly retarded) density-density
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be any set of orbitals, on one or several atoms. The CTSEG solver supports (possibly retarded) density-density
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and spin-spin interactions on the impurity. Under these restrictions, it provides better performance than the generic
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`CTHYB <https://triqs.github.io/cthyb/latest/>`_ solver, that supports generic local interaction vertices.
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The imaginary time action solved by CTSEG-J is of the form
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The imaginary time action solved by CTSEG is of the form
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.. math::
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+ \frac{1}{2} \iint_0^{\beta} \mathrm{d} \tau \mathrm{d} \tau' \sum_{a, \xi = x, y, z} s_a^{\xi}(\tau) \mathcal{J}_a^{\xi}(\tau - \tau') s_a^{\xi} (\tau')
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\end{split}
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.. sidebar:: CTSEG-J |PROJECT_VERSION|
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.. sidebar:: CTSEG |PROJECT_VERSION|
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This is the homepage of CTSEG |PROJECT_VERSION|.
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For changes see the :ref:`changelog page <changelog>`.
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:math:`\mathcal{U}_{ab} (\tau)` and :math:`\mathcal{J}_{a}^{\xi} (\tau)` are the (dynamical)
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density-density and spin-spin interactions, respectively.
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The CTSEG-J solver carries out a double expansion in the hybridization term and in the perpendicular spin-spin
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The CTSEG solver carries out a double expansion in the hybridization term and in the perpendicular spin-spin
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interaction term to obtain the fully interacting impurity Green's function :math:`G(\tau)` and a range of
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other observables. Learn how to use it in the :ref:`documentation`.
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doc/install.rst

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.. _install:
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Install CTSEG-J
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*******************
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Install CTSEG
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*************
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Compiling CTSEG-J from source
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===============================
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Compiling CTSEG from source
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===========================
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.. note:: To guarantee reproducibility in scientific calculations we strongly recommend the use of a stable `release <https://github.com/TRIQS/triqs/releases>`_ of both TRIQS and its applications.
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Version compatibility
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---------------------
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Keep in mind that the version of ``CTSEG-J`` must be compatible with your TRIQS library version,
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Keep in mind that the version of ``CTSEG`` must be compatible with your TRIQS library version,
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see :ref:`TRIQS website <triqslibs:versions>`.
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In particular the Major and Minor Version numbers have to be the same.
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To use a particular version, go into the directory with the sources, and look at all available versions::
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Custom CMake options
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--------------------
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The compilation of ``CTSEG-J`` can be configured using CMake-options::
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The compilation of ``CTSEG`` can be configured using CMake-options::
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cmake ../ctseg.src -DOPTION1=value1 -DOPTION2=value2 ...
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