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

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

Bibliographical 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.

Keywords

A. Nanostructures
A. Semiconductors
D. Electronic

ASJC Scopus subject areas

General Chemistry
Condensed Matter Physics
Materials Chemistry

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10.1016/j.ssc.2008.01.003

Cite this

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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. ",

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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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U2 - 10.1016/j.ssc.2008.01.003

DO - 10.1016/j.ssc.2008.01.003

M3 - Article

AN - SCOPUS:39149106126

SN - 0038-1098

VL - 145

SP - 515

EP - 519

JO - Solid State Communications

JF - Solid State Communications

IS - 11-12

ER -

Pumping in quantum dots and non-Abelian matrix Berry phases

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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