Size-dependent polarization distribution in ferroelectric nanostructures: Phase field simulations

Jie Wang; Marc Kamlah; Tong Yi Zhang; Yulan Li; Long Qing Chen

doi:10.1063/1.2917715

Size-dependent polarization distribution in ferroelectric nanostructures: Phase field simulations

Jie Wang, Marc Kamlah, Tong Yi Zhang, Yulan Li, Long Qing Chen

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

58 Scopus citations

Abstract

From phase field simulations, we investigate the size-dependent polarization distribution in ferroelectric nanostructures embedded in a nonferroelectric medium. The simulation results exhibit that vortex structures of polarizations and single-domain structures are formed in ferroelectric nanodots and nanowires, respectively. Furthermore, a single-vortex structure is formed in the ferroelectric nanodots if the aspect ratio of thickness to lateral size is less than a critical value, whereas the ferroelectric nanodots are in a multivortex state if the aspect ratio exceeds the critical value. When the aspect ratio approaches infinity, nanodots will become nanowires, in which polarizations are homogeneous.

Original language	English (US)
Article number	162905
Journal	Applied Physics Letters
Volume	92
Issue number	16
DOIs	https://doi.org/10.1063/1.2917715
State	Published - 2008

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1063/1.2917715

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@article{e87ee4df395e468fab17aaeeaed48fff,

title = "Size-dependent polarization distribution in ferroelectric nanostructures: Phase field simulations",

abstract = "From phase field simulations, we investigate the size-dependent polarization distribution in ferroelectric nanostructures embedded in a nonferroelectric medium. The simulation results exhibit that vortex structures of polarizations and single-domain structures are formed in ferroelectric nanodots and nanowires, respectively. Furthermore, a single-vortex structure is formed in the ferroelectric nanodots if the aspect ratio of thickness to lateral size is less than a critical value, whereas the ferroelectric nanodots are in a multivortex state if the aspect ratio exceeds the critical value. When the aspect ratio approaches infinity, nanodots will become nanowires, in which polarizations are homogeneous.",

author = "Jie Wang and Marc Kamlah and Zhang, {Tong Yi} and Yulan Li and Chen, {Long Qing}",

note = "Funding Information: J.W. gratefully acknowledges the Alexander von Humboldt Foundation for awarding a research fellowship to support his stay at Forschungszentrum Karlsruhe. T.Y.Z. is grateful for the support from the Hong Kong Research Grants Council under the Grant No. G̱HK015/06-II. L.Q.C. thanks the supports from the U.S. Department of Energy under the Grant No. DOE DE-FG02-07ER46417 and the National Science Foundation under the Grant No. DMR-0507146 and DMR 0708759.",

year = "2008",

doi = "10.1063/1.2917715",

language = "English (US)",

volume = "92",

journal = "Applied Physics Letters",

issn = "0003-6951",

publisher = "American Institute of Physics",

number = "16",

}

TY - JOUR

T1 - Size-dependent polarization distribution in ferroelectric nanostructures

T2 - Phase field simulations

AU - Wang, Jie

AU - Kamlah, Marc

AU - Zhang, Tong Yi

AU - Li, Yulan

AU - Chen, Long Qing

N1 - Funding Information: J.W. gratefully acknowledges the Alexander von Humboldt Foundation for awarding a research fellowship to support his stay at Forschungszentrum Karlsruhe. T.Y.Z. is grateful for the support from the Hong Kong Research Grants Council under the Grant No. G̱HK015/06-II. L.Q.C. thanks the supports from the U.S. Department of Energy under the Grant No. DOE DE-FG02-07ER46417 and the National Science Foundation under the Grant No. DMR-0507146 and DMR 0708759.

PY - 2008

Y1 - 2008

N2 - From phase field simulations, we investigate the size-dependent polarization distribution in ferroelectric nanostructures embedded in a nonferroelectric medium. The simulation results exhibit that vortex structures of polarizations and single-domain structures are formed in ferroelectric nanodots and nanowires, respectively. Furthermore, a single-vortex structure is formed in the ferroelectric nanodots if the aspect ratio of thickness to lateral size is less than a critical value, whereas the ferroelectric nanodots are in a multivortex state if the aspect ratio exceeds the critical value. When the aspect ratio approaches infinity, nanodots will become nanowires, in which polarizations are homogeneous.

AB - From phase field simulations, we investigate the size-dependent polarization distribution in ferroelectric nanostructures embedded in a nonferroelectric medium. The simulation results exhibit that vortex structures of polarizations and single-domain structures are formed in ferroelectric nanodots and nanowires, respectively. Furthermore, a single-vortex structure is formed in the ferroelectric nanodots if the aspect ratio of thickness to lateral size is less than a critical value, whereas the ferroelectric nanodots are in a multivortex state if the aspect ratio exceeds the critical value. When the aspect ratio approaches infinity, nanodots will become nanowires, in which polarizations are homogeneous.

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U2 - 10.1063/1.2917715

DO - 10.1063/1.2917715

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VL - 92

JO - Applied Physics Letters

JF - Applied Physics Letters

IS - 16

M1 - 162905

ER -

Size-dependent polarization distribution in ferroelectric nanostructures: Phase field simulations

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