structure and dynamics of domains during …structure and dynamics of domains during ferroelectric...

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Structure and Dynamics of Domains during Ferroelectric Switching Christopher T. Nelson 1 , Peng Gao 1 , Jacob R. Jokisaari 1 , Yi Zhang 1,2 , Colin Heikes 3 , Carolina Adamo 3 , Alexander Melville 3 , Seung-Hyub Baek 4 , Chad M. Folkman 4 , Chang-Beom Eom 4 , Darrell G. Schlom 3 , Xiaoqing Pan 1,2 1 Department of Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109 2 National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering, Nanjing University, Nanjing, 210093, P.R. China 3 Department of Materials Science and Engineering, Cornell University, Ithaca, NY 14853 4 Department of Materials Science and Engineering, University of Wisconsin, Madison, WI 53706 The ability of an electric field to switch the spontaneous polarization in a materials between energetically degenerate orientation states is the defining characteristic of a ferroelectric material and provides the underlying storage mechanism in an important class of nonvolatile memories. The switching of the spontaneous polarization occurs via the nucleation and growth of favorably oriented domains through a highly inhomogeneous process whereby local variations in free energy caused by defects and interfaces dominate switching kinetics. Macroscale ferroelectric switching models aggregate this behavior, but a understanding of the role of defects and boundary conditions is necessary in order to engineer ferroelectric devices, including mollifying fatigue, imprint, and aging effects and to scale devices down to the size of the defect spacing where a statistical treatment is not applicable. To image the nucleation and growth process at the nanoscale, we incorporated a surface scanning probe within a transmission electron microscope (TEM). Applying a bias between the probe and a conducting layer beneath a BiFeO 3 ferroelectric film induces a local reorientation of the polarization in BiFeO 3 (shown schematically in Fig. 1a and experimentally in 1b). The ferroelectric switching process can be imaged directly in real-time and used to derive polarization vs. electric field hysteresis loops (Fig. 1c) at the nanometer scale which is inaccessible to conventional electrical measurements. In the multiferroic BiFeO 3 , which possesses both ferroelectric and antiferromagnetic properties, the nucleation of ferroelectric domains occurs at a different site than expected, the bottom interface, and this switching can be sparked with a very low power. Both of these behaviors result from built-in electric fields created by a Schottky junction formed between the BiFeO 3 film and bottom electrode. [1] Furthermore, the atomic scale polarization mapping by aberration corrected TEM revealed an unexpected near-interface 180° switching at the bottom ferromagnetic electrode (Fig. 1d). This finding is significant for such multiferroic structures since 180° switching does not couple across the ferroelectric/ferromagnetic interface. Using the similar techniques the ferroelectric switching in a tetragonal PbZr 0.2 Ti 0.8 O 3 (PZT) film, which is a key material for nonvolatile ferroelectric memories, was also studied. [2] It was found that the intrinsic electric fields formed at interfaces and defects determine the nucleation sites, growth rates of domains, and the orientation and mobility of domain walls (Fig. 2). These studies also show that localized 180° polarization switching initially forms domain walls along unstable planes due to the inhomogenous electric field from the small switching electrode. After removal of the external field, they tend to relax to low energy orientations. In sufficiently small domains this process results in complete backswitching. [3] These findings suggest that even thermodynamically favored domain orientations are still subject to retention loss, which must be mitigated by overcoming a critical domain size.

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Page 1: Structure and Dynamics of Domains during …Structure and Dynamics of Domains during Ferroelectric Switching Christopher T. Nelson1, Peng Gao1, Jacob R. Jokisaari1, Yi Zhang1,2, Colin

Structure and Dynamics of Domains during Ferroelectric Switching

Christopher T. Nelson1, Peng Gao1, Jacob R. Jokisaari1, Yi Zhang1,2, Colin Heikes3, Carolina Adamo3, Alexander Melville3, Seung-Hyub Baek4, Chad M. Folkman4, Chang-Beom Eom4, Darrell

G. Schlom3, Xiaoqing Pan1,2

1Department of Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109 2National Laboratory of Solid State Microstructures and Department of Materials Science and

Engineering, Nanjing University, Nanjing, 210093, P.R. China 3Department of Materials Science and Engineering, Cornell University, Ithaca, NY 14853

4Department of Materials Science and Engineering, University of Wisconsin, Madison, WI 53706 The ability of an electric field to switch the spontaneous polarization in a materials between energetically degenerate orientation states is the defining characteristic of a ferroelectric material and provides the underlying storage mechanism in an important class of nonvolatile memories. The switching of the spontaneous polarization occurs via the nucleation and growth of favorably oriented domains through a highly inhomogeneous process whereby local variations in free energy caused by defects and interfaces dominate switching kinetics. Macroscale ferroelectric switching models aggregate this behavior, but a understanding of the role of defects and boundary conditions is necessary in order to engineer ferroelectric devices, including mollifying fatigue, imprint, and aging effects and to scale devices down to the size of the defect spacing where a statistical treatment is not applicable. To image the nucleation and growth process at the nanoscale, we incorporated a surface scanning probe within a transmission electron microscope (TEM). Applying a bias between the probe and a conducting layer beneath a BiFeO3 ferroelectric film induces a local reorientation of the polarization in BiFeO3 (shown schematically in Fig. 1a and experimentally in 1b). The ferroelectric switching process can be imaged directly in real-time and used to derive polarization vs. electric field hysteresis loops (Fig. 1c) at the nanometer scale which is inaccessible to conventional electrical measurements. In the multiferroic BiFeO3, which possesses both ferroelectric and antiferromagnetic properties, the nucleation of ferroelectric domains occurs at a different site than expected, the bottom interface, and this switching can be sparked with a very low power. Both of these behaviors result from built-in electric fields created by a Schottky junction formed between the BiFeO3 film and bottom electrode.[1] Furthermore, the atomic scale polarization mapping by aberration corrected TEM revealed an unexpected near-interface 180° switching at the bottom ferromagnetic electrode (Fig. 1d). This finding is significant for such multiferroic structures since 180° switching does not couple across the ferroelectric/ferromagnetic interface. Using the similar techniques the ferroelectric switching in a tetragonal PbZr0.2Ti0.8O3 (PZT) film, which is a key material for nonvolatile ferroelectric memories, was also studied.[2] It was found that the intrinsic electric fields formed at interfaces and defects determine the nucleation sites, growth rates of domains, and the orientation and mobility of domain walls (Fig. 2). These studies also show that localized 180° polarization switching initially forms domain walls along unstable planes due to the inhomogenous electric field from the small switching electrode. After removal of the external field, they tend to relax to low energy orientations. In sufficiently small domains this process results in complete backswitching.[3] These findings suggest that even thermodynamically favored domain orientations are still subject to retention loss, which must be mitigated by overcoming a critical domain size.

Page 2: Structure and Dynamics of Domains during …Structure and Dynamics of Domains during Ferroelectric Switching Christopher T. Nelson1, Peng Gao1, Jacob R. Jokisaari1, Yi Zhang1,2, Colin

References [1] C. T. Nelson, et al., Science 334, 968 (2011). [2] P. Gao, et al., Nat. Commun. 2:591 doi: 10.1038/ncomms1600 (2011). [3] P. Gao, et al., Adv. Mater. 24, 1106–1110 (2012). [4] The authors gratefully acknowledge the financial support through DOE grant

DoE/BES DE-FG02-07ER46416, NSF DMR-0907191 and DOE grant DE-AC02-05CH11231 (NCEM user facilities)

A!

C!

Bias (V)!

Dom

ain

Wid

th (n

m)!

0! 5! 10!-5!

0!30

0!60

0!

D!

BiFeO3!

P!Θ

La0.7Sr0.3MnO3 electrode! 4 nm!

X!Y!

Z!

71°!

>Vc!

Probe!0 V!

BiFeO3!

TbScO3!

La0.7Sr0.3MnO3!100nm!

Bismuth!

Oxygen!

Iron!

Tungsten tip!

V!

electrode!

ferroelectricfilm!

B!

Applied bias!

FIG. 1. Nanoscale polarization switching of a ferroelectric thin film within a TEM. (A) A schematic shows the local 71° switching of BiFeO3 induced by electrical bias through a scanning probe. The switched region is imaged directly (B) and the domain area can be used to create nanoscale versions of classic polarization vs. field hysteresis loops (C). (D) Polarization mapping of atomic-resolution images identifies a separate 180° switching event at the interface.

Dom

ain

Wal

l Ve

loci

ty (

nm/s

) !

0!

50 nm!

0"100"200"300"

233.33"733.33"1233.33"Late

ral V

eloc

ity (n

m/s

) !

Time (m

s)!

Time (ms)!

Vertical Velocity !(nm/s)!

Dislocation!

FIG. 2. Left: Domain wall velocity for 180° switching of a PbZr0.2Ti0.8O3. Two distinct pinning events are observed, one in the early vertical expansion and one in the lateral expansion as the left-side domain wall passes through a dislocation. Right: Polarization mapping across a 180° wall.