From 14ab1ac1d9352ef77a1b7df449788abdb7cc12d8 Mon Sep 17 00:00:00 2001
From: Ian Jauslin <ian.jauslin@roma1.infn.it>
Date: Sun, 10 Jan 2016 19:28:54 +0000
Subject: Update v0.1

Correction: hierarchical Kondo model: value of susceptibility in plots

Typo: bilayer graphene
---
 Jauslin_2015-PhD.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'Jauslin_2015-PhD.tex')

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}
-- 
cgit v1.2.3-70-g09d2

