Solitons and critical breakup fields in lithium niobate type uniaxial ferroelectrics

A. K. Bandyopadhyay, P. C. Ray, Venkatraman Gopalan

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Ferroelectric materials, such as lithium niobate, show interesting non-linear hysteresis behavior that can be explained by a dynamical system analysis. By using variational principle, a non-linear Klein-Gordon (K-G) equation is derived for lithium niobate type of uniaxial ferroelectrics involving various types of energy, which was not considered previously to construct the Hamiltonian. This leads to soliton solutions under different conditions of soliton velocity. The critical value of the (dimensional) effective electric field has been estimated to be 54-58 kV/cm for lithium niobate depending on the impurity content in these type inhomogeneous ferroelectrics. Beyond this critical field, there is no existence of solitons. This critical field is related to a break-up mechanism of Landau-Ginzburg two-well potential to a single well, as the driving force is increased.

Original languageEnglish (US)
Pages (from-to)525-531
Number of pages7
JournalEuropean Physical Journal B
Volume65
Issue number4
DOIs
StatePublished - Oct 1 2008

Fingerprint

lithium niobates
Solitons
Ferroelectric materials
Lithium
solitary waves
Hamiltonians
Klein-Gordon equation
ferroelectric materials
systems analysis
variational principles
dynamical systems
Hysteresis
Dynamical systems
Systems analysis
hysteresis
Electric fields
Impurities
impurities
electric fields
lithium niobate

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "Ferroelectric materials, such as lithium niobate, show interesting non-linear hysteresis behavior that can be explained by a dynamical system analysis. By using variational principle, a non-linear Klein-Gordon (K-G) equation is derived for lithium niobate type of uniaxial ferroelectrics involving various types of energy, which was not considered previously to construct the Hamiltonian. This leads to soliton solutions under different conditions of soliton velocity. The critical value of the (dimensional) effective electric field has been estimated to be 54-58 kV/cm for lithium niobate depending on the impurity content in these type inhomogeneous ferroelectrics. Beyond this critical field, there is no existence of solitons. This critical field is related to a break-up mechanism of Landau-Ginzburg two-well potential to a single well, as the driving force is increased.",
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Solitons and critical breakup fields in lithium niobate type uniaxial ferroelectrics. / Bandyopadhyay, A. K.; Ray, P. C.; Gopalan, Venkatraman.

In: European Physical Journal B, Vol. 65, No. 4, 01.10.2008, p. 525-531.

Research output: Contribution to journalArticle

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