From 14ab1ac1d9352ef77a1b7df449788abdb7cc12d8 Mon Sep 17 00:00:00 2001 From: Ian Jauslin Date: Sun, 10 Jan 2016 19:28:54 +0000 Subject: [PATCH] Update v0.1 Correction: hierarchical Kondo model: value of susceptibility in plots Typo: bilayer graphene --- Figs/sd_susc_0_28.pdf | Bin 28107 -> 34718 bytes Figs/sd_susc_plot.pdf | Bin 48379 -> 48687 bytes Jauslin_2015-PhD.tex | 2 +- 3 files changed, 1 insertion(+), 1 deletion(-) diff --git a/Figs/sd_susc_0_28.pdf b/Figs/sd_susc_0_28.pdf index c1aff162dd66783d669420dcd2a0179732b04169..834df05627a41565a20a800f32699d8e8d028d53 100644 GIT binary patch delta 18217 zcmYhiV~{RP53W15v1ZoTwrv}0Y}@8Dwr$(CZQHi(Iq%u^Rqg%nPIXl({i9P!uFm8p za84{p91$oJD{JBo6e*xsvp)u>9lm>3ZHbXHib%15L>H6<_~pddw$p2a00M+t&~g0s zRFSG&>f+`+0Xt+g+H9J5*t0-FwR8F)c2JLLXZ&UJwe{E9&h<0$=Pd$%MEc|!kU5|? zA>aC4#Q&qArhndcc6z-!jn(<>^CqzqbQH!WB{nvE&0S~B@eV-ZezEcT)M`|MQ`ya8 zrF;;xrto~8^IyCH%;o|pTa@o(Gq2#CmmheW6M_(1 zYe`{}C`;e#j{?gx0E)^Itcv-63I<)HTWPWE7F4I;AtddE 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zJV8V;GDbx+HAXW=F*!s=H#syyG(kB-K{GiqF*QL!LOxwDOl59obZ8(kGXXV|@C7D+ z9m~rNf>02J;d4N^fY*y6zHPt;Y(U#Eu@d)oU@Qa{wm=)SKwOyU85dvvOlAhaH$oXn zEF+{\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}