If lz only wanted to arouse professors' interests or make some kind of inquiry, you might want to keep the letter short. Professors are extremely busy and probably are not particularly fond of long intro type of letters. Good luck!
professors are very busy, especially in b-school. more than one professors told me he gets about 300 emails per day.
what's more, in b-school, the admission decision is usually made by committee, not any particular professor. so the effect of TAOCHI in b-school is not as much as science/engineering school