David Jones made a tutorial on the fundamentals of zener diodes over his EEVblog youtube channel.
David started the tutorial comparing between zener and regular diode. Both have the same characteristics and same I-V chart, but zener is designed to work in the negative voltage region.
David highlighted the difference between Avalanche breakdown and zener breakdown. When you use zener with Vr (aka Vb)<5V then you will have zener breakdown effect and above that you will have Avalanche breakdown effect.
For more detail: Zener Diodes In Theory and Practice

