\documentclass[tikz,border=5pt]{standalone}
\usepackage{xcolor}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\def\addlegendimage{\csname pgfplots@addlegendimage\endcsname}
\begin{document}
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\begin{axis}[
xlabel={${k}$},
ylabel={${std_\phi}$},
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xtick={0,5,10,15,20},
ytick={0,0.1,0.2,0.3},
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grid style=dashed,
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\end{axis}
\end{tikzpicture}
\end{document}