American coffee giants, Starbucks chief among them, have long held court in South Korea's cafe scene, but Korean brands have yet to claim similar ground stateside. At a high tide of global interest in Korean culture, the country's cafe franchises are now knocking on the US market's door themselves, hoping their timing is better than it was the first time around. This scramble abroad follows a squeeze at home, where Korea's coffee market has hit its ceiling. Expansion has mostly targeted Asia so