Stability of polar vortex lattice in ferroelectric superlattices

Zijian Hong; Anoop Damodaran; Fei Xue; Shang-Lin Hsu; Jason Britson; Ajay Yadav; Christopher Nelson; Jianjun Wang; James Floyd Scott; Lane Martin; Ramamoorthy Ramesh; Long-Qing Chen

doi:10.1021/acs.nanolett.6b04875

Stability of polar vortex lattice in ferroelectric superlattices

Zijian Hong, Anoop Damodaran, Fei Xue, Shang-Lin Hsu, Jason Britson, Ajay Yadav, Christopher Nelson, Jianjun Wang, James Floyd Scott, Lane Martin, Ramamoorthy Ramesh, Long-Qing Chen

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

Abstract

A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO₃/SrTiO₃. Here, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. We found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.

Original language	English
Pages (from-to)	2246–2252
Journal	Nano Letters
Volume	17
Issue number	4
Early online date	27 Feb 2017
DOIs	https://doi.org/10.1021/acs.nanolett.6b04875
Publication status	Published - 12 Apr 2017

Keywords

Ferroelectric superlattices
Ultrafine polar vortex
Geometric length scale
Phase-field simulations
Topical structures by design

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Hong-2017-Stability-of-polar-Nano-Lett-AAM
© 2017, American Chemical Society. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at pubs.acs.org / https://doi.org/10.1021/acs.nanolett.6b04875
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Hong-2017-Stability-of-polar-Nano-Lett-SIAccepted author manuscript, 1.77 MB

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title = "Stability of polar vortex lattice in ferroelectric superlattices",

abstract = "A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. Here, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. We found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.",

keywords = "Ferroelectric superlattices, Ultrafine polar vortex, Geometric length scale, Phase-field simulations, Topical structures by design",

author = "Zijian Hong and Anoop Damodaran and Fei Xue and Shang-Lin Hsu and Jason Britson and Ajay Yadav and Christopher Nelson and Jianjun Wang and Scott, {James Floyd} and Lane Martin and Ramamoorthy Ramesh and Long-Qing Chen",

note = "The work is supported by U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award FG02-07ER46417 (L.-Q.C., F.X., and J.B.). Z.H. acknowledges the support by NSF-MRSEC Grant DMR-1420620 and NSF-MWN Grant DMR-1210588. A.R.D. acknowledges support from the Army Research Office under Grant W911NF-14-1-0104. L.W.M. acknowledges support from the National Science Foundation under Grant DMR-1451219. A.K.Y., C.T.N., and R.R. acknowledge support from the Office of Basic Energy Sciences, U.S. Department of Energy under contract no. DE-AC02-05CH11231. L.W.M. and R.R. acknowledge support from the Gordon and Betty Moore Foundation{\textquoteright}s EPiQS Initiative, Grant GBMF5307.",

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doi = "10.1021/acs.nanolett.6b04875",

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T1 - Stability of polar vortex lattice in ferroelectric superlattices

AU - Hong, Zijian

AU - Damodaran, Anoop

AU - Xue, Fei

AU - Hsu, Shang-Lin

AU - Britson, Jason

AU - Yadav, Ajay

AU - Nelson, Christopher

AU - Wang, Jianjun

AU - Scott, James Floyd

AU - Martin, Lane

AU - Ramesh, Ramamoorthy

AU - Chen, Long-Qing

N1 - The work is supported by U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award FG02-07ER46417 (L.-Q.C., F.X., and J.B.). Z.H. acknowledges the support by NSF-MRSEC Grant DMR-1420620 and NSF-MWN Grant DMR-1210588. A.R.D. acknowledges support from the Army Research Office under Grant W911NF-14-1-0104. L.W.M. acknowledges support from the National Science Foundation under Grant DMR-1451219. A.K.Y., C.T.N., and R.R. acknowledge support from the Office of Basic Energy Sciences, U.S. Department of Energy under contract no. DE-AC02-05CH11231. L.W.M. and R.R. acknowledge support from the Gordon and Betty Moore Foundation’s EPiQS Initiative, Grant GBMF5307.

PY - 2017/4/12

Y1 - 2017/4/12

N2 - A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. Here, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. We found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.

AB - A novel mesoscale state comprising of an ordered polar vortex lattice has been demonstrated in ferroelectric superlattices of PbTiO3/SrTiO3. Here, we employ phase-field simulations, analytical theory, and experimental observations to evaluate thermodynamic conditions and geometric length scales that are critical for the formation of such exotic vortex states. We show that the stability of these vortex lattices involves an intimate competition between long-range electrostatic, long-range elastic, and short-range polarization gradient-related interactions leading to both an upper and a lower bound to the length scale at which these states can be observed. We found that the critical length is related to the intrinsic domain wall width, which could serve as a simple intuitive design rule for the discovery of novel ultrafine topological structures in ferroic systems.

KW - Ferroelectric superlattices

KW - Ultrafine polar vortex

KW - Geometric length scale

KW - Phase-field simulations

KW - Topical structures by design

U2 - 10.1021/acs.nanolett.6b04875

DO - 10.1021/acs.nanolett.6b04875

M3 - Article

SN - 1530-6984

VL - 17

SP - 2246

EP - 2252

JO - Nano Letters

JF - Nano Letters

IS - 4

ER -

Stability of polar vortex lattice in ferroelectric superlattices

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