Journal of Physics: Condensed Matter 30, 315501 (2018)

ISSN: 0953-8984, SCI

Quasibound states in single-layer graphene quantum rings

T D Linh Dinh, H Chau Nguyen and V Lien Nguyen

We study the quasi-bound state (QBS) spectra of the graphene quantum rings created by an axially symmetric electrostatic potential. Detailed calculations are carried out for the case of rectangular confinement potentials using the T-matrix and/or the local density of states approaches. Obtained results are analyzed in detail with respect to the two principal characters of QBSs, the (resonant) level position and the level width. A unique relation is established between the QBS-spectrum of a quantum ring under study and the resonant levels formed in the corresponding one-dimensional rectangular potential barrier. Studies are realized in both cases of zero and non-zero mass. Keywords: quasibound states, graphene, quantum rings (Some figures may appear in colour only in the online journal)

URL: https://doi.org/10.1088/1361-648X/aacf67

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