We analyze the effect of higher derivative corrections to the near horizon
geometry of the extremal vanishing horizon (EVH) black hole solutions in four
dimensions. We restrict ourselves to the Gauss-Bonnet correction with a
dilation dependent coupling in an Einstein Maxwell dilaton theory. This action
may represent the effective action as it arises in tree level heterotic string
theory compactified to four dimensions or the K3 compactification of type II
string theory. We show that EVH black holes, in this theory, develop an AdS3
throat in their near horizon geometry.Comment: 15 page
