TY - JOUR
KW - Competition
KW - Simulation
KW - Polarization
KW - Ferroelectricity
KW - Article
KW - Vortex flow
KW - Phase-field simulation
KW - Ferroelectric superlattice
KW - Superconducting materials
KW - Topology
KW - Neodymium compounds
KW - Crystal lattices
KW - Geometric length
KW - Polar vortex
KW - Topological structure
AU - Z Hong
AU - A.R Damodaran
AU - F Xue
AU - S.-L Hsu
AU - J Britson
AU - A.K Yadav
AU - C.T Nelson
AU - J.-J Wang
AU - J.F Scott
AU - L.W Martin
AU - Ramamoorthy Ramesh
AU - L.-Q Chen
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. © 2017 American Chemical Society.
BT - Nano Letters
DO - 10.1021/acs.nanolett.6b04875
LA - eng
M1 - 4
N1 - cited By 36
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. © 2017 American Chemical Society.
PB - American Chemical Society
PY - 2017
SP - 2246
EP - 2252
T2 - Nano Letters
TI - Stability of Polar Vortex Lattice in Ferroelectric Superlattices
VL - 17
SN - 15306984
ER -