'Post-punk Goth', if I'm being entirely honest, is a term that I pretty much made up. I have never seen it used anywhere, but it seems to me to be a fitting term for Goths like these, as the pared down, stark fashions suit the bleak soundscapes of the post-punk, noise pop and early Goth rock that is generally the music of choice for these Goths (who are also referred to as 'nu-Goths').
In fact, this aesthetic is summed up perfectly by Fuck Yeah Goths on Tumblr - minimalist monochrome with a hint of high fashion. These are the Goths whom you would stereotypically find in a backstreet coffee house drinking their java black, clutching a skinny clove cigarette and looking bored.
Accessories often include black Ray-Ban sunglasses, Amish-style hats (especially for the guys), belts worn around the waist, and braces.
Hair and make-up for the ladies is generally simple but stark - heavy eyeliner, sleek, blunt or backcombed haircuts and possibly a dash of scarlet or black lipstick. This look is androgynous, and as such the gentlemen may also sport eyeliner. For the guys, hair is usually kept shorter than the flowing locks suited to other Goth fashion styles, either lightly tousled or neatly groomed like the members of Joy Division in their heyday. It's almost difficult to believe that this look is related to flamboyant, in-your-face styles like cybergoth and romantigoth.