Frequency -and electric field-dependent physical model of ferroelectric materials in the 10s of GHz

Published

July 16, 2018

Author(s)

Eric J. Marksz, Christian J. Long, James C. Booth, Ichiro Takeicjo, Nathan D. Orloff

Abstract

Ferroelectric materials are attractive for tunable components because their permittivity can be controlled by an applied electric field. The permittivity of these materials depends on frequency, and can have a strongly nonlinear electric field dependence. A quantitative understanding of these behaviors is relevant for integration of tunable materials into devices. In this paper, we provide a simple closed-form expression for this dependence, which to our knowledge has never appeared in the literature. This expression is based on thermodynamic principles, and we expect it to be both widely applicable and generalizable. We test this model with measurements of transmission lines lithographically patterned on a ferroelectric thin film, and find that the relaxation timescales become shorter at higher bias fields. We attribute this faster relaxation to the steepening of th efree energy gradient when a bias field is applied, as opposed to any change in the nano-scale structure.

Conference Dates

July 16-18, 2018

Conference Location

Ann Arbor, MI

Conference Title

IEEE MTT-S International Microwave Workshop Series on Advanced Materials and Processes

Pub Type

Conferences

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Keywords

Tunable Microwave Materials, Tunable components, Materials characterization, functional materials, device modeling

Citation

Marksz, E. , Long, C. , Booth, J. , Takeicjo, I. and Orloff, N. (2018), Frequency -and electric field-dependent physical model of ferroelectric materials in the 10s of GHz, IEEE MTT-S International Microwave Workshop Series on Advanced Materials and Processes, Ann Arbor, MI, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=926081 (Accessed October 8, 2025)