In order to participate in the seminar, on May 21 after 4:45 pm (UTC+7) you should connect to the Zoom conference via the following link https://us02web.zoom.us/j/89776462466?pwd=WFBrZFJDTDdzNUtUN1VEeFhHREpmQT09 or manually using the Zoom conference ID 897 7646 2466 and password 549526.After a general introduction to the physics of massless Dirac fermions in graphene and their exotic properties (first of all, chiral or Klein tunneling — passing through arbitrarily high and wide potential barriers), I will present a semiclassical theory of these phenomena. For the case of a one-dimensional potential barrier, a homogeneous asymptotic approximation can be developed, which gives a very accurate analytical solution for an arbitrary shape of the barrier [1, 2]. Then, I will move on to a discussion of electronic optics in graphene, namely, the Veselago electron lens theory, including consideration of wavefront catastrophes [3,4]. I will also briefly consider the general theory of the propagation of Dirac fermions in a two-dimensional potential relief [5], as a special case of the semiclassical approximation for matrix Hamiltonians. Finally, I will briefly describe the features of chiral tunneling for the case of bilayer graphene [6].
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