Vol 3, No 1 (2012)

Cover Page


Asymmetric scattering of electrons on graphene The level of miniaturization reached by modern semiconductor technology has brought electronic devices on the border of (and in many cases inside) the quantum realm. The macroscopic behavior of such devices is determined by the microscopic, and often non-intuitive, quantum dynamics of many carriers. Applied mathematics has, therefore, the difficult task of providing electronic industry with models that combine an accurate description of such behavior with the "handiness" of a classical picture. The theory of Quantum Fluid Dynamics (QFD) is expected to furnish an ideal tool to reach such a compromise. The cover image is taken from a numerical simulation that exploits QFD techniques: an electron wave packet moves on a graphene sheet and is scattered by an asymmetric potential barrier. The complete figure is reported in L. Barletti, CAIM Vol 3, No 1, 2012 doi: 10.1685/journal.caim.417 where methods and results of QFD are presented. The paper is focused on peculiar quantum effects arising from the statistics of identical particles and from spin-like degrees of freedom. The latter is the case of electrons in graphene, where they acquire a "pseudospin" which strongly affects the scattering properties.

Image Credit: L. Barletti Dipartimento di Matematica “Ulisse Dini” Università di Firenze, Italy

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909