Generated documentation for triqs/DEV_mc_tools_stat

flatiron-jenkins · flatiron-jenkins · commit 9448807b8b37 · 2024-11-19T15:56:54.000-05:00
jenkins-TRIQS-triqs-DEV_mc_tools_stat-20 9fd0a207d0eb2e548c4d5fc2ba6db9ae8c936def
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/itertools/zip_iter/operator==.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/itertools/zip_iter/operator==.rst.txt
@@ -48,4 +48,4 @@ Parameters
 Returns
 ^^^^^^^
 
-True, if all original iterators are equal.
+True, if one of the original iterators is equal to the corresponding iterator of the sentinel.
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy.rst.txt
@@ -35,7 +35,7 @@ Public members
 
 
    +------+-------------------+----------------------------------------------------------------------------+
-   | rhs  | const_view_type   |  View of the array/view to be scattered.                                   |
+   | rhs  | stored_type       |  Array/View to be scattered.                                               |
    +------+-------------------+----------------------------------------------------------------------------+
    | comm | mpi::communicator |  MPI communicator.                                                         |
    +------+-------------------+----------------------------------------------------------------------------+
@@ -52,11 +52,11 @@ Member types
    :widths: 40 60
 
 
-   +-----------------+--------------------------------------+---------------------------------------------------------------+
-   | value_type      | typename std::decay_t<A>::value_type |  Value type of the array/view.                                |
-   +-----------------+--------------------------------------+---------------------------------------------------------------+
-   | const_view_type | decltype(std::declval<const A>()())  |  Const view type of the array/view stored in the lazy object. |
-   +-----------------+--------------------------------------+---------------------------------------------------------------+
+   +-------------+--------------------------------------+----------------------------------------------------+
+   | value_type  | typename std::decay_t<A>::value_type |  Value type of the array/view.                     |
+   +-------------+--------------------------------------+----------------------------------------------------+
+   | stored_type | A                                    |  Type of the array/view stored in the lazy object. |
+   +-------------+--------------------------------------+----------------------------------------------------+
 
 
 Member functions
@@ -67,7 +67,7 @@ Member functions
 
 
    +-----------------------------------+-----------------------------------------------------------------------------+
-   | :ref:`shape <mpi__lazy__shape>`   | Compute the shape of the target array.                                      |
+   | :ref:`shape <mpi__lazy__shape>`   | Compute the shape of the nda::ArrayInitializer object.                      |
    +-----------------------------------+-----------------------------------------------------------------------------+
    | :ref:`invoke <mpi__lazy__invoke>` | Execute the lazy MPI operation and write the result to a target array/view. |
    +-----------------------------------+-----------------------------------------------------------------------------+
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy/invoke.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy/invoke.rst.txt
@@ -36,7 +36,7 @@ mpi::lazy::invoke
 Template parameters
 ^^^^^^^^^^^^^^^^^^^
 
- * :param:`T` nda::Array type of the target array/view.
+ * :param:`T` nda::Array type with C-layout.
 
 
 Parameters
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy/shape.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/lazy/shape.rst.txt
@@ -35,7 +35,7 @@ mpi::lazy::shape
 Returns
 ^^^^^^^
 
-Shape of the target array.
+Shape of the nda::ArrayInitializer object.
 
 .. warning::
     This makes an MPI call.
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/mpi_gather.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/mpi/mpi_gather.rst.txt
@@ -54,4 +54,4 @@ Parameters
 Returns
 ^^^^^^^
 
-std::vector containing the result of the gather operation.
+std::string containing the result of the gather operation.
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/amplitudes.rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/amplitudes.rst.txt
@@ -41,4 +41,4 @@ Documentation
 Returns
 ^^^^^^^
 
-Constant reference to the storage container
+Reference to the storage container
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/operator().rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/operator().rst.txt
@@ -47,4 +47,4 @@ Parameters
 Returns
 ^^^^^^^
 
-Reference to the requested amplitude
+Constant reference to the requested amplitude
diff --git a/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,trueGT/operator().rst.txt b/triqs/DEV_mc_tools_stat/_sources/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,trueGT/operator().rst.txt
@@ -47,4 +47,4 @@ Parameters
 Returns
 ^^^^^^^
 
-Reference to the requested amplitude
+Constant reference to the requested amplitude
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/itertools/zip_iter/operator==.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/itertools/zip_iter/operator==.html
@@ -1838,7 +1838,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>True, if all original iterators are equal.</p>
+<p>True, if one of the original iterators is equal to the corresponding iterator of the sentinel.</p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy.html
@@ -1827,7 +1827,7 @@ <h2>Member functions<a class="headerlink" href="#member-functions" title="Link t
 </colgroup>
 <tbody>
 <tr class="row-odd"><td><p><a class="reference internal" href="lazy/shape.html#mpi-lazy-shape"><span class="std std-ref">shape</span></a></p></td>
-<td><p>Compute the shape of the target array.</p></td>
+<td><p>Compute the shape of the nda::ArrayInitializer object.</p></td>
 </tr>
 <tr class="row-even"><td><p><a class="reference internal" href="lazy/invoke.html#mpi-lazy-invoke"><span class="std std-ref">invoke</span></a></p></td>
 <td><p>Execute the lazy MPI operation and write the result to a target array/view.</p></td>
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy/invoke.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy/invoke.html
@@ -1815,7 +1815,7 @@
 <h2>Template parameters<a class="headerlink" href="#template-parameters" title="Link to this heading"></a></h2>
 <blockquote>
 <div><ul class="simple">
-<li><p><span class="param">T</span> nda::Array type of the target array/view.</p></li>
+<li><p><span class="param">T</span> nda::Array type with C-layout.</p></li>
 </ul>
 </div></blockquote>
 </section>
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy/shape.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/lazy/shape.html
@@ -1812,7 +1812,7 @@
 </div></blockquote>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>Shape of the target array.</p>
+<p>Shape of the nda::ArrayInitializer object.</p>
 <div class="admonition warning">
 <p class="admonition-title">Warning</p>
 <p>This makes an MPI call.</p>
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/mpi_gather.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/mpi/mpi_gather.html
@@ -1840,7 +1840,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>std::vector containing the result of the gather operation.</p>
+<p>std::string containing the result of the gather operation.</p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/amplitudes.html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/amplitudes.html
@@ -1824,7 +1824,7 @@
 </div></blockquote>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>Constant reference to the storage container</p>
+<p>Reference to the storage container</p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/operator().html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,falseGT/operator().html
@@ -1832,7 +1832,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>Reference to the requested amplitude</p>
+<p>Constant reference to the requested amplitude</p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,trueGT/operator().html b/triqs/DEV_mc_tools_stat/documentation/cpp_api/triqs/hilbert_space/stateLTHilbertSpace,ScalarType,trueGT/operator().html
@@ -1832,7 +1832,7 @@ <h2>Parameters<a class="headerlink" href="#parameters" title="Link to this headi
 </section>
 <section id="returns">
 <h2>Returns<a class="headerlink" href="#returns" title="Link to this heading"></a></h2>
-<p>Reference to the requested amplitude</p>
+<p>Constant reference to the requested amplitude</p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/searchindex.js b/triqs/DEV_mc_tools_stat/searchindex.js
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/01-IPT_and_DMFT.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/01-IPT_and_DMFT.html
@@ -2106,7 +2106,7 @@ <h2>Dynamical mean-field theory<a class="headerlink" href="#Dynamical-mean-field
 \Big( \sum_k \frac{1}{i \omega_n + \mu - \epsilon_k - \Sigma_\mathrm{imp}} \Big)^{-1}
 + \Sigma_\mathrm{imp}\]</div>
 <p>We solve the quantum impurity for this new <span class="math notranslate nohighlight">\(G_0\)</span> and loop until convergence</p>
-<p><img alt="de5a1339143242a0b053640000514a76" class="no-scaled-link" src="../../../../_images/selfcons1.png" style="width: 40%;" /></p>
+<p><img alt="176aa0600ffb4ed2b5400faecc0fc624" class="no-scaled-link" src="../../../../_images/selfcons.png" style="width: 40%;" /></p>
 </section>
 <section id="Bethe-lattice-DMFT">
 <h2>Bethe lattice DMFT<a class="headerlink" href="#Bethe-lattice-DMFT" title="Link to this heading"></a></h2>
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/02-Introduction_to_the_CTHYB_solver.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/02-Introduction_to_the_CTHYB_solver.html
@@ -2070,7 +2070,7 @@
 <section id="General-reminder:-Anderson-impurity-model-and-CTHYB-solver">
 <h1>General reminder: Anderson impurity model and CTHYB solver<a class="headerlink" href="#General-reminder:-Anderson-impurity-model-and-CTHYB-solver" title="Link to this heading"></a></h1>
 <p>In the Anderson impurity model, we decompose the full lattice problem into an interacting site (‘impurity’) hybridised to a bath:</p>
-<p><img alt="68ffa342f6924a69803f94c62f0aaca1" src="../../../../_images/dmft_bath_impurity.png" /></p>
+<p><img alt="8904e3b09a694144ad4cf705dc9fddeb" src="../../../../_images/dmft_bath_impurity.png" /></p>
 <dl>
 <dt>with the Hamiltonian :nbsphinx-math:<a href="#id1"><span class="problematic" id="id2">`</span></a>begin{align*}</dt><dd><blockquote>
 <div><p>H = &amp; color{red}{H_{rm imp}} + color{darkgreen}{H_{rm hyb}} + color{blue}{H_{rm bath}} \
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/05-VBDMFT_Hubbard.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/05-VBDMFT_Hubbard.html
@@ -2071,7 +2071,7 @@ <h1>Valence-Bond DMFT solution of the Hubbard model<a class="headerlink" href="#
 <p>.</p>
 <p>In the following, we use <span class="math notranslate nohighlight">\(U/t=10\)</span> and <span class="math notranslate nohighlight">\(t'/t=-0.3\)</span>, which are values commonly used for modeling hole-doped cuprates in a single-band framework. All energies (and temperatures) are expressed in units of <span class="math notranslate nohighlight">\(D=4t=1\)</span>, and the doping is denoted by <span class="math notranslate nohighlight">\(\delta\)</span>.</p>
 <p>We subdivide the Brillouin Zone into a minimal set of two patches of <strong>equal</strong> area <span class="math notranslate nohighlight">\(P_+\)</span> (even) and <span class="math notranslate nohighlight">\(P_-\)</span> (odd).</p>
-<p><img alt="94518c6a252d4de7afa7123612cfedd6" class="no-scaled-link" src="../../../../_images/vb-patching1.png" style="width: 240px; height: 180px;" /></p>
+<p><img alt="88780d961b584bacbebe7ad75592010f" class="no-scaled-link" src="../../../../_images/vb-patching.png" style="width: 240px; height: 180px;" /></p>
 <p><span class="math notranslate nohighlight">\(P_+\)</span> is a central square centered at momentum <span class="math notranslate nohighlight">\((0,0)\)</span> and containing the nodal region; the complementary region <span class="math notranslate nohighlight">\(P_{-}\)</span> extends to the edge of the BZ and contains in particular the antinodal region and the <span class="math notranslate nohighlight">\((\pi,\pi)\)</span> momentum.</p>
 <div class="nbinput nblast docutils container">
 <div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[2]:
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/01s-IPT_and_DMFT.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/01s-IPT_and_DMFT.html
@@ -2117,7 +2117,7 @@ <h2>Dynamical mean-field theory<a class="headerlink" href="#Dynamical-mean-field
 \Big( \sum_k \frac{1}{i \omega_n + \mu - \epsilon_k - \Sigma_\mathrm{imp}} \Big)^{-1}
 + \Sigma_\mathrm{imp}\]</div>
 <p>We solve the quantum impurity for this new <span class="math notranslate nohighlight">\(G_0\)</span> and loop until convergence</p>
-<p><img alt="0d05ebddf4e34af1ae2a1f054da941a4" class="no-scaled-link" src="../../../../../_images/selfcons.png" style="width: 40%;" /></p>
+<p><img alt="1c6abed3c3ad4b2c84ee2a858866294a" class="no-scaled-link" src="../../../../../_images/selfcons1.png" style="width: 40%;" /></p>
 </section>
 <section id="Bethe-lattice-DMFT">
 <h2>Bethe lattice DMFT<a class="headerlink" href="#Bethe-lattice-DMFT" title="Link to this heading"></a></h2>
@@ -2232,7 +2232,7 @@ <h2>Visualizing the Mott transition<a class="headerlink" href="#Visualizing-the-
 <section id="Comparison-with-the-literature">
 <h2>Comparison with the literature<a class="headerlink" href="#Comparison-with-the-literature" title="Link to this heading"></a></h2>
 <p>You can compare the result above with what can be found in the literature (review of Antoine Georges et al.)</p>
-<p><img alt="53aa97677605463d8c9ba5dba75b5e27" class="no-scaled-link" src="../../../../../_images/mott.png" style="width: 30%;" /></p>
+<p><img alt="3899344ac07842599857ec3db51cdfed" class="no-scaled-link" src="../../../../../_images/mott.png" style="width: 30%;" /></p>
 </section>
 </section>
 
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/03s-Single-orbital_Hubbard_with_CTQMC.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/03s-Single-orbital_Hubbard_with_CTQMC.html
@@ -2345,7 +2345,7 @@ <h2>Solution 6<a class="headerlink" href="#Solution-6" title="Link to this headi
 </div>
 </div>
 <p>The result is completely wrong. This is because of the noise in the Monte Carlo data. One would have to make much longer runs in order to reduce the error bars. The Pade approximation can be used only on very accurate data. When the noise is still quite large, one has to use different analytical continuation methods, like MaxEnt, which produces the following spectral function:</p>
-<p><img alt="7acff039fd494241a8123b639c36321e" src="../../../../../_images/maxent_Aw.png" /></p>
+<p><img alt="de8abe3abc5f4dafb1d2967d4fabb659" src="../../../../../_images/maxent_Aw.png" /></p>
 <p>Regardless of which package you use for MaxEnt, it is very important to remember that there are some important knobs with which one can play in MaxEnt that can substantially change the results, and so one must be very careful in its use!</p>
 <blockquote>
 <div><p>Exercise 7</p>
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/05s-VBDMFT_Hubbard.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/ModelDMFT/solutions/05s-VBDMFT_Hubbard.html
@@ -2075,7 +2075,7 @@ <h1>Valence-Bond DMFT solution of the Hubbard model<a class="headerlink" href="#
 <p>.</p>
 <p>In the following, we use <span class="math notranslate nohighlight">\(U/t=10\)</span> and <span class="math notranslate nohighlight">\(t'/t=-0.3\)</span>, which are values commonly used for modeling hole-doped cuprates in a single-band framework. All energies (and temperatures) are expressed in units of <span class="math notranslate nohighlight">\(D=4t=1\)</span>, and the doping is denoted by <span class="math notranslate nohighlight">\(\delta\)</span>.</p>
 <p>We subdivide the Brillouin Zone into a minimal set of two patches of <strong>equal</strong> area <span class="math notranslate nohighlight">\(P_+\)</span> (even) and <span class="math notranslate nohighlight">\(P_-\)</span> (odd).</p>
-<p><img alt="0ade4d8500364eb3874c363187507899" class="no-scaled-link" src="../../../../../_images/vb-patching.png" style="width: 240px; height: 180px;" /></p>
+<p><img alt="cf8266a6080d40dbb1311a1fbfb873a8" class="no-scaled-link" src="../../../../../_images/vb-patching1.png" style="width: 240px; height: 180px;" /></p>
 <p><span class="math notranslate nohighlight">\(P_+\)</span> is a central square centered at momentum <span class="math notranslate nohighlight">\((0,0)\)</span> and containing the nodal region; the complementary region <span class="math notranslate nohighlight">\(P_{-}\)</span> extends to the edge of the BZ and contains in particular the antinodal region and the <span class="math notranslate nohighlight">\((\pi,\pi)\)</span> momentum.</p>
 <div class="nbinput docutils container">
 <div class="prompt highlight-none notranslate"><div class="highlight"><pre><span></span>[1]:
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/TwoParticleResponse/05-TPSC_MerminWagner.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/TwoParticleResponse/05-TPSC_MerminWagner.html
@@ -2183,7 +2183,7 @@ <h2><span class="math notranslate nohighlight">\(\chi_0\)</span> calculator for
 <p>Solve the TPCS equations for a range of temperatures at <span class="math notranslate nohighlight">\(n=1\)</span> (half-filling) and <span class="math notranslate nohighlight">\(U=4\)</span> and examine the validity of the Mermin-Wagner theorem in the TPSC approximation. In particular study the spin structure factor <span class="math notranslate nohighlight">\(S(\mathbf{q})\)</span> defined as</p>
 <div class="math notranslate nohighlight">
 \[S(\mathbf{q})\equiv T\sum_n \chi_{sp}(\mathbf{q},i\omega_n)\]</div>
-<p>and reproduce the results of following figure from <a class="reference external" href="https://jp1.journaldephysique.org/articles/jp1/abs/1997/11/jp1v7p1309/jp1v7p1309.html" rel="noopener noreferrer" target="_blank">[Vilk and Tremblay, J. Phys. I France 7 (1997) 1309-1368]</a> <a class="reference external" href="https://arxiv.org/abs/cond-mat/9702188v3" rel="noopener noreferrer" target="_blank">[arXiv version]</a>: <img alt="Drawing" src="../../../../_images/Fig71.png" /></p>
+<p>and reproduce the results of following figure from <a class="reference external" href="https://jp1.journaldephysique.org/articles/jp1/abs/1997/11/jp1v7p1309/jp1v7p1309.html" rel="noopener noreferrer" target="_blank">[Vilk and Tremblay, J. Phys. I France 7 (1997) 1309-1368]</a> <a class="reference external" href="https://arxiv.org/abs/cond-mat/9702188v3" rel="noopener noreferrer" target="_blank">[arXiv version]</a>: <img alt="Drawing" src="../../../../_images/Fig7.png" /></p>
 </section>
 <section id="RPA-spin-structure-factor-S_{RPA}-as-a-function-of-temperature-T">
 <h2>RPA spin structure factor <span class="math notranslate nohighlight">\(S_{RPA}\)</span> as a function of temperature <span class="math notranslate nohighlight">\(T\)</span><a class="headerlink" href="#RPA-spin-structure-factor-S_{RPA}-as-a-function-of-temperature-T" title="Link to this heading"></a></h2>
diff --git a/triqs/DEV_mc_tools_stat/userguide/python/tutorials/TwoParticleResponse/solutions/05s-TPSC_MerminWagner.html b/triqs/DEV_mc_tools_stat/userguide/python/tutorials/TwoParticleResponse/solutions/05s-TPSC_MerminWagner.html
@@ -2203,7 +2203,7 @@ <h2><span class="math notranslate nohighlight">\(\chi_0\)</span> calculator for
 <p>Solve the TPCS equations for a range of temperatures at <span class="math notranslate nohighlight">\(n=1\)</span> (half-filling) and <span class="math notranslate nohighlight">\(U=4\)</span> and examine the validity of the Mermin-Wagner theorem in the TPSC approximation. In particular study the spin structure factor <span class="math notranslate nohighlight">\(S(\mathbf{q})\)</span> defined as</p>
 <div class="math notranslate nohighlight">
 \[S(\mathbf{q})\equiv T\sum_n \chi_{sp}(\mathbf{q},i\omega_n)\]</div>
-<p>and reproduce the results of following figure from <a class="reference external" href="https://jp1.journaldephysique.org/articles/jp1/abs/1997/11/jp1v7p1309/jp1v7p1309.html" rel="noopener noreferrer" target="_blank">[Vilk and Tremblay, J. Phys. I France 7 (1997) 1309-1368]</a> <a class="reference external" href="https://arxiv.org/abs/cond-mat/9702188v3" rel="noopener noreferrer" target="_blank">[arXiv version]</a>: <img alt="Drawing" src="../../../../../_images/Fig7.png" /></p>
+<p>and reproduce the results of following figure from <a class="reference external" href="https://jp1.journaldephysique.org/articles/jp1/abs/1997/11/jp1v7p1309/jp1v7p1309.html" rel="noopener noreferrer" target="_blank">[Vilk and Tremblay, J. Phys. I France 7 (1997) 1309-1368]</a> <a class="reference external" href="https://arxiv.org/abs/cond-mat/9702188v3" rel="noopener noreferrer" target="_blank">[arXiv version]</a>: <img alt="Drawing" src="../../../../../_images/Fig71.png" /></p>
 </section>
 <section id="RPA-spin-structure-factor-S_{RPA}-as-a-function-of-temperature-T">
 <h2>RPA spin structure factor <span class="math notranslate nohighlight">\(S_{RPA}\)</span> as a function of temperature <span class="math notranslate nohighlight">\(T\)</span><a class="headerlink" href="#RPA-spin-structure-factor-S_{RPA}-as-a-function-of-temperature-T" title="Link to this heading"></a></h2>
