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Extremal black holes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Gauss-Bonnet gravity
We show that four-dimensional Einstein-Maxwell-dilaton-Gauss-Bonnet gravity admits asymptotically flat black hole solutions with a degenerate event horizon of the Reissner-Nordstr\"om type ${\mathrm{AdS}}_{2}\ifmmode\times\else\texttimes\fi{}{S}^{2}$. Such black holes exist for the dilaton coupling constant within the interval $0\ensuremath{\le}{a}^{2}<{a}_{\mathrm{cr}}^{2}$. Black holes must be endowed with an electric charge and (possibly) with magnetic charge (dyons) …