Research output: Contribution to journal › Article › peer-review
Scattering on an ultralow potential in an armchair graphene nanoribbon is studied. Using the continuous Dirac model and including a couple of artificial waves in the scattering process, described by an augmented scattering matrix, a condition is derived for the existence of a trapped mode. Threshold energies, where the multiplicity of the continuous spectrum changes, are considered, and it is shown that a trapped mode may appear for energies slightly less than a threshold and its multiplicity does not exceed one. For energies that are higher than a threshold, there are no trapped modes, provided that the potential is sufficiently small.
Original language | English |
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Pages (from-to) | 624-645 |
Number of pages | 22 |
Journal | Journal of Mathematical Sciences (United States) |
Volume | 252 |
Issue number | 5 |
DOIs | |
State | Published - Feb 2021 |
ID: 88366426