Pumping in quantum dots and non-Abelian matrix Berry phases

N. Y. Hwang; S. C. Kim; P. S. Park; S. R. Eric Yang

doi:10.1016/j.ssc.2008.01.003

Pumping in quantum dots and non-Abelian matrix Berry phases

N. Y. Hwang, S. C. Kim, P. S. Park, S. R. Eric Yang

Department of Physics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	515-519
Number of pages	5
Journal	Solid State Communications
Volume	145
Issue number	11-12
DOIs	https://doi.org/10.1016/j.ssc.2008.01.003
Publication status	Published - 2008 Mar

Keywords

A. Nanostructures
A. Semiconductors
D. Electronic

ASJC Scopus subject areas

Chemistry(all)
Condensed Matter Physics
Materials Chemistry

Access to Document

10.1016/j.ssc.2008.01.003

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title = "Pumping in quantum dots and non-Abelian matrix Berry phases",

abstract = "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 that of the previous ones.",

keywords = "A. Nanostructures, A. Semiconductors, D. Electronic",

author = "Hwang, {N. Y.} and Kim, {S. C.} and Park, {P. S.} and {Eric Yang}, {S. R.}",

note = "Funding 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. [38] 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. ",

year = "2008",

month = mar,

doi = "10.1016/j.ssc.2008.01.003",

language = "English",

volume = "145",

pages = "515--519",

journal = "Solid State Communications",

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T1 - Pumping in quantum dots and non-Abelian matrix Berry phases

AU - Hwang, N. Y.

AU - Kim, S. C.

AU - Park, P. S.

AU - Eric Yang, S. R.

N1 - Funding 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. [38] 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.

PY - 2008/3

Y1 - 2008/3

N2 - 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.

AB - 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.

KW - A. Nanostructures

KW - A. Semiconductors

KW - D. Electronic

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JO - Solid State Communications

JF - Solid State Communications

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