Pumping in quantum dots and non-Abelian matrix Berry phases

Details Pumping in quantum dots and non-Abelian matrix Berry phases Pumping in quantum dots and non-Abelian matrix Berry phases

2007-06-07

arxiv.org/abs/0706.0947v2

Solid State Commun. 145, 515 (2008) (Fast Track)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1016/j.ssc.2008.01.003

We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time dependent Schr{\"o}dinger equation exactly for adiabatic changes. Our results demonstrate that a pumped charge is related to the presence of a finite matrix Berry phase. When consecutive adiabatic cycles are performed the pumped charge of each cycle is different from the previous ones.

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