Nearly all essential oils (as I studied long time ago) have some antiseptic or antibacterial activity one way or another. I recommend Lavender oil which I have used in the past.

This choice could be appreciated if you "google" about this oil. In the link below, there is a short good article about this subject. 

http://www.oilsandplants.com/antiseptic.htm

Thanks so much Nizar Matar for the link. Actually, I need to explore more on how to formulate essential oil as hand antiseptic, what kind of ingredients should be added. 

You can use pine, eucaliptus, allium, cymbopogum, mentha essential oil, amo gracias others.