Geodesic
Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 280-288

Voir la notice de l'article provenant de la source Math-Net.Ru

A basic model for particle states and current flow in open quantum dots/billiards are investigated. The model is unconventional and extends the use of complex potentials first introduced in phenomenological nuclear inelastic scattering theory (the optical model). Attached leads/source drain are represented by complex potentials. Probability densities and currents flows for open 2D quantum dots/billiards are calculated and the results are compared with microwave measurements used to emulate the dot. We also apply the model to a rectangular enclosure and report on helical flows guided by nodal lines and disc-like accumulations of flow lines. The model is of conceptual as well as practical and educational interest.
Keywords: nano-scale systems, quantum dots, microwave billiards, quantum transport, vortices, helical motion, streamlines. 
@article{JSFU_2010_3_3_a1,
     author = {Karl-Fredrik Berggren and Iryna I. Yakimenko},
     title = {Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {280--288},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a1/}
}
TY  - JOUR
AU  - Karl-Fredrik Berggren
AU  - Iryna I. Yakimenko
TI  - Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 280
EP  - 288
VL  - 3
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a1/
LA  - en
ID  - JSFU_2010_3_3_a1
ER  - 
%0 Journal Article
%A Karl-Fredrik Berggren
%A Iryna I. Yakimenko
%T Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 280-288
%V 3
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a1/
%G en
%F JSFU_2010_3_3_a1
Karl-Fredrik Berggren; Iryna I. Yakimenko. Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 3, pp. 280-288. http://geodesic.mathdoc.fr/item/JSFU_2010_3_3_a1/