Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-11-14
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
10 pages, 11 figures
Scientific paper
The scattering of two-dimensional (2D) massless Dirac electrons is investigated in the presence of a random array of circular mass barriers. The inverse momentum relaxation time and the Hall factor are calculated and used to obtain parallel and perpendicular resistivity components within linear transport theory. We found a non zero perpendicular resistivity component which has opposite sign for electrons in the different K and K' valleys. This property can be used for valley filter purposes. The total cross-section for scattering on penetrable barriers exhibit resonances due to the presence of quasi-bound states in the barriers that show up as sharp gaps in the cross-section while for Schr\"{o}dinger electrons they appear as peaks.
Masir Ramezani M.
Matulis A.
Peeters François M.
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