Using pgfplots, how can I make and use a colormap that has a sharp transition in the middle?

I wish to make a colormap where the distinction between numbers smaller than 0 and numbers greater than 0 is emphasised. So I want to make a colormap that has one sharp transition in the middle and fades to different colours on the edges. How can I do it? In the manual, I only found how to make gradual transitions.

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You can declare your own color map, defining two colours for the transition point. Note that you might need to manually set a finer step size using the optional argument in the color map definition, to avoid incorrect colors near the transition point:

\documentclass{article}
\usepackage{pgfplots}
\begin{document}

\pgfplotsset{
colormap={blackwhite}{[5pt]
rgb255(0pt)=(255, 200, 0);
rgb255(500pt)=(255, 75, 0);
rgb255(500pt)=(0, 100, 255);
rgb255(1000pt)=(0, 255, 255)
},
}

\begin{tikzpicture}
\begin{axis}[colorbar]
\end{axis}
\end{tikzpicture}

\end{document}

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In case you want to have only sharp transitions, you may use:

colormap={blackwhite}{[2pt] % colormap steps: 2 pt
% white: from 0000 to 1000
rgb(0000pt)=(1.0,1.0,1.0);
rgb(1000pt)=(1.0,1.0,1.0);
% gray:  from 1000 to 2000
rgb(1000pt)=(0.5,0.5,0.5);
rgb(2000pt)=(0.5,0.5,0.5);
% black: from 2000 to 3000
rgb(2000pt)=(0.0,0.0,0.0);
rgb(3000pt)=(0.0,0.0,0.0);
},


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