The former North Berwick HS pupil has represented East Lothian Falcons at under-14, under-15 and under-18, Edinburgh at under-17 and under-18, and Scotland at under-18.
He made his Scotland under-18 debut against England at Darlington on 3 March 2013 and, a week later, scored two tries in the side's victory over Ireland at Hamilton RFC. His under-20 debut came against the Irish in Athlone in January 2014.
Carmichael's first try for Scotland under-20 was vital in securing the side's 36-34 victory over Wales in February 2015. That same game he was presented with the man-of-the-match award for his valiant efforts in the forward battle.
He added to his under-20 tally, grabbing a vital brace, both tries coming in a similar fashion, in his team's spectacular 17-10 victory over Ireland in the final game of the 2015 Six Nations Championship. Carmichael, again, scooped the man-of-the-match award, following on from his effort against Wales a month previous.
He crossed the line to score Scotland's sole try in the World Rugby Under-20 Championhsip opener against New Zealand, and again added his name to the scoresheet when he crossed the whitewash in the next pool stage tie against Ireland.
With his club team Melrose, he was in the starting XV who secured the RBS Premiership title at the Greenyards, in the win over Currie in March 2014.
Outwith rugby he played football with North Berwick Colts from the age of six until 13, and studied Rugby Performance at Edinburgh College. He is a member of Scottish Rugby's regional academy, supported by sportscotland Institute of Sport.