We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time-dependent Schrödinger 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 that of the previous ones.
Bibliographical noteFunding Information:
S.R.E.Y thanks M. Governale for useful discussions. He is also grateful to R. Fazio for reading this manuscript and bringing Ref.  to his attention. This work was supported by grant No. R01-2005-000-10352-0 from the Basic Research Program of the Korea Science and Engineering Foundation and by the Quantum Functional Semiconductor Research Center (QSRC) at Dongguk University of the Korea Science and Engineering Foundation. This work was also supported by The Second Brain Korea 21 Project.
- A. Nanostructures
- A. Semiconductors
- D. Electronic
ASJC Scopus subject areas
- Condensed Matter Physics
- Materials Chemistry