Interaction of a 180° ferroelectric domain wall with a biased scanning probe microscopy tip: Effective wall geometry and thermodynamics in Ginzburg-Landau-Devonshire theory

Anna N. Morozovska, Sergei V. Kalinin, Eugene A. Eliseev, Venkatraman Gopalan, Sergei V. Svechnikov

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

The interaction of ferroelectric 180° -domain wall with a strongly inhomogeneous electric field of biased scanning probe microscope tip is analyzed within continuous Ginzburg-Landau-Devonshire theory. Equilibrium shape of the initially flat domain-wall boundary bends, attracts, or repulses from the probe apex, depending on the sign and value of the applied bias. For large tip-wall separations, the probe-induced domain nucleation is possible. The approximate analytical expressions for the polarization distribution are derived using direct variational method. The expressions provide insight into how the equilibrium polarization distribution depends on the wall finite width, correlation and depolarization effects, electrostatic potential distribution of the probe and ferroelectric material parameters.

Original languageEnglish (US)
Article number125407
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume78
Issue number12
DOIs
StatePublished - Sep 12 2008

Fingerprint

Scanning probe microscopy
Domain walls
Ferroelectric materials
domain wall
Thermodynamics
microscopy
thermodynamics
scanning
Geometry
probes
geometry
interactions
Polarization
ferroelectric materials
Depolarization
polarization
depolarization
Electrostatics
apexes
Microscopes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

@article{bd379283119e44b49538f82ecc9bb226,
title = "Interaction of a 180° ferroelectric domain wall with a biased scanning probe microscopy tip: Effective wall geometry and thermodynamics in Ginzburg-Landau-Devonshire theory",
abstract = "The interaction of ferroelectric 180° -domain wall with a strongly inhomogeneous electric field of biased scanning probe microscope tip is analyzed within continuous Ginzburg-Landau-Devonshire theory. Equilibrium shape of the initially flat domain-wall boundary bends, attracts, or repulses from the probe apex, depending on the sign and value of the applied bias. For large tip-wall separations, the probe-induced domain nucleation is possible. The approximate analytical expressions for the polarization distribution are derived using direct variational method. The expressions provide insight into how the equilibrium polarization distribution depends on the wall finite width, correlation and depolarization effects, electrostatic potential distribution of the probe and ferroelectric material parameters.",
author = "Morozovska, {Anna N.} and Kalinin, {Sergei V.} and Eliseev, {Eugene A.} and Venkatraman Gopalan and Svechnikov, {Sergei V.}",
year = "2008",
month = "9",
day = "12",
doi = "10.1103/PhysRevB.78.125407",
language = "English (US)",
volume = "78",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Physical Society",
number = "12",

}

Interaction of a 180° ferroelectric domain wall with a biased scanning probe microscopy tip : Effective wall geometry and thermodynamics in Ginzburg-Landau-Devonshire theory. / Morozovska, Anna N.; Kalinin, Sergei V.; Eliseev, Eugene A.; Gopalan, Venkatraman; Svechnikov, Sergei V.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 12, 125407, 12.09.2008.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Interaction of a 180° ferroelectric domain wall with a biased scanning probe microscopy tip

T2 - Effective wall geometry and thermodynamics in Ginzburg-Landau-Devonshire theory

AU - Morozovska, Anna N.

AU - Kalinin, Sergei V.

AU - Eliseev, Eugene A.

AU - Gopalan, Venkatraman

AU - Svechnikov, Sergei V.

PY - 2008/9/12

Y1 - 2008/9/12

N2 - The interaction of ferroelectric 180° -domain wall with a strongly inhomogeneous electric field of biased scanning probe microscope tip is analyzed within continuous Ginzburg-Landau-Devonshire theory. Equilibrium shape of the initially flat domain-wall boundary bends, attracts, or repulses from the probe apex, depending on the sign and value of the applied bias. For large tip-wall separations, the probe-induced domain nucleation is possible. The approximate analytical expressions for the polarization distribution are derived using direct variational method. The expressions provide insight into how the equilibrium polarization distribution depends on the wall finite width, correlation and depolarization effects, electrostatic potential distribution of the probe and ferroelectric material parameters.

AB - The interaction of ferroelectric 180° -domain wall with a strongly inhomogeneous electric field of biased scanning probe microscope tip is analyzed within continuous Ginzburg-Landau-Devonshire theory. Equilibrium shape of the initially flat domain-wall boundary bends, attracts, or repulses from the probe apex, depending on the sign and value of the applied bias. For large tip-wall separations, the probe-induced domain nucleation is possible. The approximate analytical expressions for the polarization distribution are derived using direct variational method. The expressions provide insight into how the equilibrium polarization distribution depends on the wall finite width, correlation and depolarization effects, electrostatic potential distribution of the probe and ferroelectric material parameters.

UR - http://www.scopus.com/inward/record.url?scp=52249119186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=52249119186&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.78.125407

DO - 10.1103/PhysRevB.78.125407

M3 - Article

AN - SCOPUS:52249119186

VL - 78

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 12

M1 - 125407

ER -