Ian Jauslin
summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
authorIan Jauslin <ian.jauslin@roma1.infn.it>2016-01-10 19:28:54 +0000
committerIan Jauslin <ian.jauslin@roma1.infn.it>2016-01-10 19:28:54 +0000
commit14ab1ac1d9352ef77a1b7df449788abdb7cc12d8 (patch)
tree9020a974f58bed1aa4d7d09883860c68f842d90d
parent383ef4949361c1107bd2c18f33ef8f280ccdc7a6 (diff)
Update v0.1v0.1
Correction: hierarchical Kondo model: value of susceptibility in plots Typo: bilayer graphene
-rw-r--r--Figs/sd_susc_0_28.pdfbin28107 -> 34718 bytes
-rw-r--r--Figs/sd_susc_plot.pdfbin48379 -> 48687 bytes
-rw-r--r--Jauslin_2015-PhD.tex2
3 files changed, 1 insertions, 1 deletions
diff --git a/Figs/sd_susc_0_28.pdf b/Figs/sd_susc_0_28.pdf
index c1aff16..834df05 100644
--- a/Figs/sd_susc_0_28.pdf
+++ b/Figs/sd_susc_0_28.pdf
Binary files differ
diff --git a/Figs/sd_susc_plot.pdf b/Figs/sd_susc_plot.pdf
index ff8c4ce..602a3c3 100644
--- a/Figs/sd_susc_plot.pdf
+++ b/Figs/sd_susc_plot.pdf
Binary files differ
diff --git a/Jauslin_2015-PhD.tex b/Jauslin_2015-PhD.tex
index bddec82..841aee2 100644
--- a/Jauslin_2015-PhD.tex
+++ b/Jauslin_2015-PhD.tex
@@ -1932,7 +1932,7 @@ Therefore, using the bound~(\ref{bilayerboundGt}), the change of variables defin
\begin{equation}
\begin{array}{>{\displaystyle}r@{\ }>{\displaystyle}l}
\frac{1}{\beta|\Lambda|}\int d\underline{\mathbf x}\ \left|(\underline{\mathbf x}-\mathbf x_{2l})^mB_{2l,\underline\varpi}^{(h)}(\underline{\mathbf x})\right|
-\leqslant&\sum_{N=1}^\infty\sum_{\tau\in\mathcal T_N^{(h)}}\sum_{T\in\mathbf T(\tau)}\sum_{\underline l_\tau}\sum_{\displaystyle\mathop{\scriptstyle \mathbf P\in\tilde{\mathcal P}_{\tau,\underline l_\tau,\ell_0}}_{|P_{v_0}|=2l}}c_1^N\mathfrak F_h(\underline m)\cdot\\[0.5cm]
+\leqslant&\sum_{N=1}^\infty\sum_{\tau\in\mathcal T_N^{(h)}}\sum_{T\in\mathbf T(\tau)}\sum_{\underline l_\tau}\sum_{\displaystyle\mathop{\scriptstyle \mathbf P\in\tilde{\mathcal P}_{\tau,\underline l_\tau,\ell_0}}_{|P_{v_0}|=2l}}C_1^N\mathfrak F_h(\underline m)\cdot\\[0.5cm]
&\cdot\prod_{v\in\mathfrak V(\tau)}\frac{1}{s_v!}C_G^{n_v-s_v+1}C_g^{s_v-1}2^{h_v((c_k-c_g)n_v-c_k(s_v-1))}\cdot\\[0.5cm]
&\cdot\prod_{v\in\mathfrak E(\tau)}c_2^{2l_v}\mathfrak C_{2l_v}|U|^{\max(1,l_v-1)}2^{(h_v-1)(c_k-(c_k-c_g)l_v)}
\end{array}