# how to draw skewed (unbalanced) tree with tikz-qtree?

\begin{figure}[H]
\centering
\begin{tikzpicture}[scale=0.7]
\Tree  [.Appl [.DP ] [.V [.DP ] [.v ] ]]
\end{tikzpicture}
\end{figure}


is giving me the above picture:

But, what I really want is left skewed DP node without the v node. I want to eliminate the pixelated part.

You can draw explicit edges using the \edge command:
\documentclass{article}

I've used a \phantom{XP} node here instead of just {} so that the left branch angle is nicer.