https://doi.org/10.1140/epjb/e2013-30970-1
Regular Article
Multipole-based modal analysis of gate-defined quantum dots in graphene
CIARS, Department of Electrical and Computer Engineering,
University of Waterloo, Waterloo
N2L 3G1,
Canada
a
e-mail: mo.raeszadeh@gmail.com
Received: 23 October 2012
Received in final form: 25 February 2013
Published online: 26 June 2013
A new numerical method based on the multipoles of the Dirac equation is presented for rigorous and fast analysis of electron scattering from gate-defined structures in graphene. The new method is used to study the strongly bound states and the weakly bound states of a circular quantum dot. The accuracy of the obtained results is then verified by the T-matrix method. Furthermore, we characterize the resonances of elliptical gate-defined quantum dots and compare these resonances with the strongly bound states of circular dots. The effects of coupling between two quantum dots are also investigated.
Key words: Computational Methods
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013
