\documentclass{standalone}

\usepackage{tikz}
\usepackage{graphene}

\begin{document}
\begin{tikzpicture}
  \graphene{(0,0)}{3}{3}

  \foreach \i in {0,...,3}{
    \draw[color=blue](-1,-\i*\sqrtTh)--++(1.5*2*\i+3,\sqrtThOT*2*\i+\sqrtTh);
  }
  \foreach \i in {0,...,3}{
    \draw[color=blue](0.5+3*\i,-3.5*\sqrtTh)--++(-1.5*2*\i+12,-\sqrtThOT*2*\i+4*\sqrtTh);
  }

  \foreach \i in {0,...,3}{
    \draw[color=blue](-1,-\i*\sqrtTh)--++(-1.5*2*\i+10.5,+\sqrtThOT*2*\i-3.5*\sqrtTh);
  }
  \foreach \i in {0,...,3}{
    \draw[color=blue](-1+3*\i,\sqrtTh)--++(-1.5*2*\i+13.5,\sqrtThOT*2*\i-4.5*\sqrtTh);
  }

  \draw[color=red] (6,-\sqrtTh)++(0.5,.6)node[rotate=30]{$l_1$};
  \draw[color=red](6,-\sqrtTh)++(0.5,-.6)node[rotate=-30]{$l_2$};
  \pgfsetarrowsend{latex};
  \draw[color=red,line width=1.5pt](6,-\sqrtTh)--++\Lo;
  \draw[color=red,line width=1.5pt](6,-\sqrtTh)--++\Lt;
\end{tikzpicture}
\end{document}