The book explains, in an easy way, the diffi cult to grasp concepts behind 2D exotic material properties for physicists, materials scientists, and engineers. This is a new class of phenomena highlighted in 2D materials with strong implications on physics. Physics, also for complex phenomena, is explained in easy terms that are ideal for newcomers to the fi eld and advanced students alike. Theory and specifi c examples of materials and their intriguing properties are discussed focusing on the structure property relationships that govern materials science. Applications for each phenomenon are evoked and a roadmapping is performed.