mirror of https://github.com/abinit/abinit.git
332 lines
9.8 KiB
TeX
332 lines
9.8 KiB
TeX
%%%%%%%%
|
|
%Colors
|
|
%%%%%%%%
|
|
\definecolor{myblue}{rgb}{.8, .8, 1}
|
|
|
|
%%%%%%%%%%%%%%
|
|
%New commands
|
|
%%%%%%%%%%%%%%
|
|
\newcommand{\minf}{{-\infty}}
|
|
\newcommand{\pinf}{{+\infty}}
|
|
\newcommand{\rarr}{{\rightarrow}}
|
|
\newcommand{\HF}{{\text{HF}}}
|
|
\newcommand{\RPA}{{\text{RPA}}}
|
|
\newcommand{\Wan}{{(\text{W})}}
|
|
\newcommand{\Win}{{\text{win}}}
|
|
\newcommand{\Ham}{{(\text{H})}}
|
|
\newcommand{\Uopt}{\mathcal{U}}
|
|
\newcommand{\Opt}{{(\text{opt})}}
|
|
\newcommand{\Ueff}{{U_{\text{eff}}}}
|
|
\newcommand{\Atm}{{\bf A}}
|
|
\newcommand{\Go}{{G_0}}
|
|
\newcommand{\Wo}{{W_0}}
|
|
\newcommand{\Ao}{{A_0}}
|
|
\newcommand{\ie}{{\emph{i.e.}}\;}
|
|
\newcommand{\eg}{{\emph{e.g.}}\,\;}
|
|
\newcommand{\oA}{{\hat A}}
|
|
\newcommand{\oSigma}{{\hat\Sigma}}
|
|
\newcommand{\oT}{{\hat T}}
|
|
\newcommand{\oO}{{\hat O}}
|
|
\newcommand{\wh}{\widehat}
|
|
\newcommand{\vc}{{v}}
|
|
\newcommand{\tv}{{\tilde{v}}}
|
|
\newcommand{\tvc}{{\tv}}
|
|
\newcommand{\la}{\langle}
|
|
\newcommand{\ra}{\rangle}
|
|
\newcommand{\mcC}{\mathcal{C}}
|
|
\newcommand{\mcF}{\mathcal{F}}
|
|
\newcommand{\mcH}{\mathcal{H}}
|
|
\newcommand{\mcS}{\mathcal{S}}
|
|
\newcommand{\UT}{\mathcal{U}}
|
|
\renewcommand{\SS}{s} %{\mathcal {S}}
|
|
\newcommand{\SSm}{\SS^{-1}} %{\mathcal {S}}
|
|
\newcommand{\mcA}{{\mathcal{A}}}
|
|
\newcommand{\mcB}{{\mathcal{B}}}
|
|
\newcommand{\omcA}{{\hat\mcA}}
|
|
\newcommand{\mcW}{{\mathcal{W}}}
|
|
\newcommand{\mcE}{{\mathcal{E}}}
|
|
\newcommand{\mcI}{{\mathcal{I}}}
|
|
\newcommand{\mcJ}{{\mathcal{J}}}
|
|
\newcommand{\mcO}{{\mathcal{O}}}
|
|
\newcommand{\mcP}{{\mathcal{P}}}
|
|
\newcommand{\mcR}{{\mathcal{R}}}
|
|
\newcommand{\omcR}{{\hat\mcR}}
|
|
\newcommand{\AFMomcR}{{\underline{\omcR}}}
|
|
\newcommand{\AFMmcR}{{\underline{\mcR}}}
|
|
\newcommand{\mcRi}{{{\mcR}^{-1}}}
|
|
%\newcommand{\OmcR}{{\hat\mcR}}
|
|
\newcommand{\RRm}{\mcR^{-1}}
|
|
\newcommand{\mcT}{{\hat{\mathcal {T}}}}
|
|
\newcommand{\mcRm}{\mcR^{-1}}
|
|
\newcommand{\mcU}{{\mathcal{U}}}
|
|
\newcommand{\tpsi}{{\tilde\psi}}
|
|
\newcommand{\tPsi}{{\tilde\Psi}}
|
|
\newcommand{\tPhi}{{\tilde\Phi}}
|
|
\newcommand{\tphi}{{\tilde\phi}}
|
|
\newcommand{\nlm}{{nlm}}
|
|
\newcommand{\tprj}{{\tilde p}}
|
|
\newcommand{\tu}{{\tilde u}}
|
|
\renewcommand{\ij}{{ij}}
|
|
\newcommand{\mn}{{mn}}
|
|
\newcommand{\nm}{{nm}}
|
|
\newcommand{\mQ}{{m\qq}}
|
|
\newcommand{\nQ}{{n\qq}}
|
|
\newcommand{\st}{{st}}
|
|
\newcommand{\uv}{{uv}}
|
|
\newcommand{\Si}{{\mcS^{-1}}}
|
|
\newcommand{\Sit}{{\Si^\tau}}
|
|
\newcommand{\Ri}{\mcR^{-1}}
|
|
\newcommand{\Rit}{\mcR^{-1\tau}}
|
|
\newcommand{\rr}{{\bf r}}
|
|
\newcommand{\rrhat}{{\widehat\rr}}
|
|
\newcommand{\rrphat}{{{\widehat\rr}'}}
|
|
\newcommand{\thhat}{{\widehat{\theta}}}
|
|
\newcommand{\phihat}{{\widehat{\phi}}}
|
|
\newcommand{\xhat}{{\widehat{\bf x}}}
|
|
\newcommand{\yhat}{{\widehat{\bf y}}}
|
|
\newcommand{\zhat}{{\widehat{\bf z}}}
|
|
\newcommand{\rrp}{{\bf r'}}
|
|
\newcommand{\RR}{{\bf R}}
|
|
\newcommand{\rmR}{{\rr-\RR}}
|
|
\newcommand{\rmRhat}{{\widehat\rmR}}
|
|
\newcommand{\rmRa}{{\rr-\RR_a}}
|
|
\newcommand{\LL}{{\bf L}}
|
|
\newcommand{\GG}{{\bf G}}
|
|
\newcommand{\GGp}{{\bf G}}
|
|
\newcommand{\GGo}{{\GG_0}}
|
|
\newcommand{\RL}{{\bf R}}
|
|
\newcommand{\qq}{{\bf q}}
|
|
\newcommand{\qqt}{\tilde{\bf q}}
|
|
\newcommand{\qG}{{\bf q+G}}
|
|
\newcommand{\kk}{{\bf k}}
|
|
\newcommand{\kkt}{\tilde\kk}
|
|
\newcommand{\KK}{{\bf K}}
|
|
\newcommand{\KKhat}{\widehat \KK}
|
|
\newcommand{\KKp}{{\bf{K'}}}
|
|
\newcommand{\KKphat}{\widehat{\KK}'}
|
|
\newcommand{\Qhat}{\widehat Q}
|
|
\newcommand{\Ghat}{\widehat \GG}
|
|
\newcommand{\qGhat}{\widehat\qG}
|
|
\newcommand{\kmq}{{\kk-\qq}}
|
|
\newcommand{\kpq}{{\kk+\qq}}
|
|
\newcommand{\qpG}{\qq+\GG}
|
|
\newcommand{\qpGhat}{\widehat{\qpG}}
|
|
\newcommand{\rc}{{r_c}}
|
|
\newcommand{\rca}{{r_c^a}}
|
|
\newcommand{\IBZq}{{IBZ_\qq}}
|
|
\newcommand{\IBZk}{{IBZ_\kk}}
|
|
\newcommand{\BZ}{{{\text{BZ}}}}
|
|
\newcommand{\Lq}{\mathcal{L}_\qq}
|
|
\newcommand{\Lqp}{{\mathcal{L}^+_\qq}}
|
|
\newcommand{\Lqm}{{\mathcal{L}^-_\qq}}
|
|
\newcommand{\nk}{{n\kk}}
|
|
\newcommand{\mk}{{m\kk}}
|
|
\newcommand{\nSk}{{n\SS\kk}}
|
|
\newcommand{\nRk}{{n\mcR\kk}}
|
|
\newcommand{\kpG}{{\kk+\GG}}
|
|
\newcommand{\kpGhat}{\widehat{\kpG}}
|
|
\newcommand{\SkpG}{{\SS\kk+\GG}}
|
|
\newcommand{\nkpG}{{\dfrac{|\kpG\ra}{\sqrt{\Omega}}}}
|
|
\newcommand{\invomegasq}{{\dfrac{1}{\sqrt{\Omega}}}}
|
|
\newcommand{\lm}{{lm}}
|
|
\newcommand{\lp}{{l'}}
|
|
\renewcommand{\mp}{{m'}}
|
|
\newcommand{\LM}{{LM}}
|
|
\newcommand{\Lp}{{L'}}
|
|
\newcommand{\Mp}{{M'}}
|
|
\newcommand{\LpMp}{{\Lp\Mp}}
|
|
\newcommand{\Lpp}{{L''}}
|
|
\newcommand{\Mpp}{{M''}}
|
|
\newcommand{\LppMpp}{{\Lpp\Mpp}}
|
|
\newcommand{\bb}{\beta}
|
|
\newcommand{\vb}{{\bf b}}
|
|
\newcommand{\va}{{\bf a}}
|
|
\newcommand{\zz}{\zeta}
|
|
\newcommand{\ee}{\epsilon}
|
|
\newcommand{\eem}{\epsilon^{-1}}
|
|
\newcommand{\tee}{\tilde\epsilon}
|
|
\newcommand{\eet}{\tee}
|
|
\newcommand{\Wc}{{W}^\text{c}}
|
|
\newcommand{\tWc}{{\tilde W}^\text{c}}
|
|
\newcommand{\tac}{{\tilde \aa}^\text{c}}
|
|
\newcommand{\twopi}{{2\pi}}
|
|
\newcommand{\fourpi}{{4\pi}}
|
|
\newcommand{\tw}{{\tilde{w}}}
|
|
\newcommand{\ww}{\omega}
|
|
\newcommand{\wwt}{\tilde\omega}
|
|
\newcommand{\wwtGGq}{\wwt_{\GG_1 \GG_2}(\qq)}
|
|
\newcommand{\wplasma}{{\omega_{\text{P}}}}
|
|
\newcommand{\half}{{\dfrac{1}{2}}}
|
|
\newcommand{\halfs}{{\frac{1}{2}}}
|
|
\newcommand{\thalf}{{\tfrac{1}{2}}}
|
|
\newcommand{\D}{\partial}
|
|
\newcommand{\HH}{{\hat H}}
|
|
%\newcommand{\HPAW}{{\hat{\tild H}}
|
|
\newcommand{\Kin}{{\hat T}}
|
|
\newcommand{\ho}{{{\hat h}_0}}
|
|
\newcommand{\QP}{\text{QP}}
|
|
\newcommand{\qp}{\text{qp}}
|
|
\newcommand{\QPSCGW}{\text{QPSCGW}}
|
|
\newcommand{\SCGW}{\text{SCGW}}
|
|
\newcommand{\GW}{\text{GW}}
|
|
\newcommand{\KS}{\text{KS}}
|
|
\newcommand{\NLF}{\text{NLF}}
|
|
\newcommand{\LF}{\text{LF}}
|
|
\newcommand{\KB}{\text{KB}}
|
|
\newcommand{\PS}{\text{PS}}
|
|
\newcommand{\tn}{{\tilde n}}
|
|
\newcommand{\nhat}{{\hat n}}
|
|
\newcommand{\nT}{n_T}
|
|
\newcommand{\tnT}{{\tn_T}}
|
|
\newcommand{\no}{{n_0}}
|
|
\newcommand{\nc}{{n_c}}
|
|
\newcommand{\nv}{{n_v}}
|
|
\newcommand{\tnc}{{\tn_c}}
|
|
\newcommand{\nZ}{{n_Z}}
|
|
\newcommand{\nZc}{{n_{Zc}}}
|
|
\newcommand{\tnZc}{{\tn_{Zc}}}
|
|
\newcommand{\vH}{{v_H}}
|
|
\newcommand{\VH}{{V_H}}
|
|
\newcommand{\EH}{{E_H}}
|
|
\newcommand{\veff}{v_{\text{eff}}}
|
|
\newcommand{\tveff}{{{\tilde v}_{\text{eff}}}}
|
|
\newcommand{\Vext}{{V_{\text{ext}}}}
|
|
\newcommand{\vext}{{v_{\text{ext}}}}
|
|
\newcommand{\vtot}{v_{\text{tot}}}
|
|
\newcommand{\tot}{{\text{tot}}}
|
|
\newcommand{\xc}{{\text{xc}}}
|
|
\newcommand{\val}{{\text{val}}}
|
|
\newcommand{\FFT}{{\text{FFT}}}
|
|
\newcommand{\loc}{{\text{loc}}}
|
|
\newcommand{\core}{{\text{core}}}
|
|
\newcommand{\vxc}{{v_\xc}}
|
|
\newcommand{\tP}{{{\tilde P}}}
|
|
\newcommand{\tchi}{{{\tilde\chi}}}
|
|
\newcommand{\matchi}{{\underline{\tchi}}}
|
|
\newcommand{\chio}{{\chi^0}}
|
|
%\newcommand{\tchio}{{{\tilde\chi^0}}}
|
|
\newcommand{\tchio}{{{\chio}}}
|
|
\newcommand{\occ}{{\text{occ}}}
|
|
\newcommand{\Exc}{{E_\xc}}
|
|
\newcommand{\Vnl}{V_{\text{nl}}}
|
|
\newcommand{\Vloc}{V_{\text{loc}}}
|
|
\newcommand{\vv}{\hat v}
|
|
\newcommand{\vloc}{{\vv_{\text{loc}}}}
|
|
\newcommand{\Ylm}{{Y_m^l}}
|
|
\newcommand{\rY}{{\mathcal Y}}
|
|
\newcommand{\rYlm}{{\mathcal Y}_m^l}
|
|
\newcommand{\rYLM}{{\mathcal Y}_M^L}
|
|
\newcommand{\VLM}{V_M^L}
|
|
\newcommand{\Dhat}{{\hat D}}
|
|
\newcommand{\tD}{{\tilde D}}
|
|
\newcommand{\jl}{j_l}
|
|
\newcommand{\sqrttwo}{{\sqrt{2}}}
|
|
%\newcommand{\wfn}[1][{}]{\psi_#1(\rr_1)}
|
|
\newcommand{\sign}{{\text{sign}}}
|
|
\newcommand{\ff}[2][]{f(\ee_#1^#2)}
|
|
%\newcommand{\df}{\coloneqq} %this required mathtools :=
|
|
\newcommand{\df}{\equiv} %this required mathtools :=
|
|
\newcommand{\Vee}{V_\text{ee}}
|
|
\newcommand{\Eee}{E_\text{ee}}
|
|
\newcommand{\Edc}{E_\text{dc}}
|
|
\newcommand{\LDA}{\text{LDA}}
|
|
\newcommand{\HEG}{\text{HEG}}
|
|
\newcommand{\GGA}{\text{GGA}}
|
|
\newcommand{\LDApU}{\text{LDA+U}}
|
|
\newcommand{\lU}{{l_\text{U}}}
|
|
\newcommand{\trace}[1]{\text{Tr}(#1)}
|
|
\newcommand{\up}{\uparrow}
|
|
\newcommand{\down}{\downarrow}
|
|
\newcommand{\costh}{\cos\theta}
|
|
\newcommand{\sinth}{\sin\theta}
|
|
\newcommand{\cosphi}{\cos\phi}
|
|
\newcommand{\sinphi}{\sin\phi}
|
|
\newcommand{\omegahat}{{\widehat\omega}}
|
|
\newcommand{\Proj}{\mathcal{P}}
|
|
\newcommand{\PDER}[2]{\dfrac{\partial #1}{\partial #2}}
|
|
\newcommand{\DER}[2]{\dfrac{d #1}{d #2}}
|
|
\newcommand{\FDER}[2]{\dfrac{\delta #1}{\delta #2}}
|
|
\newcommand{\dd}{{\,\text{d}}}
|
|
\newcommand{\ddr}{{\dd r}}
|
|
\newcommand{\ddrr}{{\dd\rr}}
|
|
\newcommand{\ddkk}{{\dd\kk}}
|
|
\newcommand{\ddrrp}{{\dd\rr'}}
|
|
\newcommand{\dx}[2]{{\dd#1\text{d}#2}}
|
|
\newcommand{\ul}[1]{{\underline{#1}}}
|
|
\newcommand{\ddO}{{\dd\Omega}}
|
|
|
|
\newcommand*\mybluebox[1]{\colorbox{myblue}{\hspace{1em}#1\hspace{1em}}}
|
|
\newcommand*\widefbox[1]{\fbox{\hspace{1em}#1\hspace{1em}}}
|
|
%This is for empheq. Example
|
|
%\begin{empheq}[box=\widefbox]{align}
|
|
%a&=b\\
|
|
%E&=mc^2 + \int_a^a x\, dx
|
|
%\end{empheq}
|
|
\newcommand{\Eq}[1]{Eq.~\ref{#1}}
|
|
\newcommand{\myEquation}[1]{Equation~\ref{#1}}
|
|
\newcommand{\myequation}[1]{equation~\ref{#1}}
|
|
\newcommand{\Fig}[1]{Fig.~\ref{#1}}
|
|
\newcommand{\Figure}[1]{Figure~\ref{#1}}
|
|
\newcommand{\myfigure}[1]{figure~\ref{#1}}
|
|
\newcommand{\myFigure}[1]{Figure~\ref{#1}}
|
|
\newcommand{\Sect}[1]{Sect.~\ref{#1}}
|
|
\newcommand{\sect}[1]{sect.~\ref{#1}}
|
|
\newcommand{\Section}[1]{Section~\ref{#1}}
|
|
\newcommand{\mysection}[1]{section~\ref{#1}}
|
|
|
|
\providecommand{\abs}[1]{{\lvert#1\rvert}}
|
|
\providecommand{\norm}[1]{{\lVert#1\rVert}}
|
|
|
|
\newcommand{\mcG}{{\mathcal G}}
|
|
\providecommand{\Gaunt}[2]{{\mcG_{#1}^{#2}}}
|
|
\renewcommand{\ni}{{n_i}}
|
|
\newcommand{\li}{{l_i}}
|
|
\newcommand{\mi}{{m_i}}
|
|
\newcommand{\nj}{{n_j}}
|
|
\newcommand{\lj}{{l_j}}
|
|
\newcommand{\mj}{{m_j}}
|
|
\newcommand{\ns}{{n_s}}
|
|
\newcommand{\ls}{{l_s}}
|
|
\newcommand{\ms}{{m_s}}
|
|
\newcommand{\nt}{{n_t}}
|
|
\newcommand{\lt}{{l_t}}
|
|
\newcommand{\mt}{{m_t}}
|
|
\newcommand{\LdotS}{{{\bf L}\cdot{\bf S}}}
|
|
|
|
\newcommand{\etal}{{\emph et al.}}
|
|
|
|
%%%%%%%%%%%%%%%%
|
|
%Renew Commands
|
|
%%%%%%%%%%%%%%%%
|
|
\newcommand{\<}{\la}
|
|
\renewcommand{\>}{\ra}
|
|
\renewcommand{\aa}{\alpha}
|
|
\renewcommand{\ss}{\sigma}
|
|
\newcommand{\spin}{\sigma}
|
|
\newcommand{\tSigma}{{\tilde\Sigma}}
|
|
\renewcommand{\*}{\dagger}
|
|
\renewcommand{\tt}{{\bf t}}
|
|
\newcommand{\AFMtt}{{\underline{\tt}}}
|
|
\newcommand{\rmt}{{\rr-\tt}}
|
|
\renewcommand{\Re}{\text{Re}}
|
|
\renewcommand{\Im}{\text{Im}}
|
|
|
|
\newcommand{\destroy}[1]{{\hat\psi(#1)}}
|
|
\newcommand{\make}[1]{{{\hat\psi}^\*(#1)}}
|
|
|
|
%\begin{empheq}[box=\mybluebox]{align}
|
|
%a&=b\\
|
|
%E&=mc^2 + \int_a^a x\, dx
|
|
%\end{empheq}
|
|
|
|
\newcommand{\InsertBlankPage}{
|
|
\clearpage % to prevent floats interfering with blank page
|
|
\thispagestyle{empty}% prevents headers and footers
|
|
\hbox{}% something on page
|
|
\newpage
|
|
}
|
|
|
|
\newcommand{\ClearChapterEnd}{
|
|
\clearpage{\pagestyle{empty}\cleardoublepage}
|
|
}
|