During the past several decades,mesoscopic physics has evolved into a greatly progressive and fascinating field of physics.Mesoscopic systems build a bridge between microscopic particles which are unobservable and immeasurable by the naked eye and macroscopic traditional condensed-matter systems.[1,2] Mesoscopic devices,with the dimensions being intermediate between the microscopic and macroscopic systems,exhibit both classical and quantum signatures.[3]Two-dimensional quantum billiards have extensively served as model systems in the field of mesoscopic dynamics.[4] Semiclassical theory,[5-7] applied to the description of mesoscopic systems,is a way of handling quantum mechanics problems by a simplified path integral formalism,with a focus on the particles motion of classical mechanics,in order to bridge the gap between quantum mechanics and its classical limit.Semiclassical approximations[8-16] build a link between classical and quantum mechanics to describe and analyze ballistic transport in mesoscopic systems in a very direct way:each classical path carries an amplitude that reflects its geometric stability and a phase which contains the classical action and accounts for the quantum interference effect.