Uploaded September 2025 | Updated September 2026, 2 weeks ago
Ferroelectrics are a type of material that are everywhere in our lives---and as we rely more and more on AI, ferroelectrics will become all the more prominent as a backbone for low-energy electronics and other devices. In this video, we introduce ferroelectrics to a general audience. After going through examples and general properties of ferroelectrics, we derive Landau-Devonshire theory by Taylor expansions. We then show how this mathematical theory explains many of the most promising properties of ferroelectrics. We then explain how these properties lead to a vast array of past, present, and future applications, and we end our video by describing some current research in ferroelectrics.
This is an entry to the 4th Summer of Math Exposition.
0:00 Introduction
0:45 What is a Ferroelectric?
4:03 The Math of Ferroelectrics: Landau-Devonshire Theory
12:57 Hysteresis Loops
15:40 Applications of Ferroelectrics
20:30 Current Research in Ferroelectrics
21:37 Piezoresonse Force Microscopy (PFM)
23:01 Summary, Acknowledgements, Conclusions
All views expressed in this video are my own and are made in my individual capacity. I make no claim, implicit or otherwise, to represent the views of my previous or current employers.
#SoME4
Ferroelectrics are a type of material that are everywhere in our lives---and as we rely more and more on AI, ferroelectrics will become all the more prominent as a backbone for low-energy electronics and other devices. In this video, we introduce ferroelectrics to a general audience. After going through examples and general properties of ferroelectrics, we derive Landau-Devonshire theory by Taylor expansions. We then show how this mathematical theory explains many of the most promising properties of ferroelectrics. We then explain how these properties lead to a vast array of past, present, and future applications, and we end our video by describing some current research in ferroelectrics.
This is an entry to the 4th Summer of Math Exposition.
0:00 Introduction
0:45 What is a Ferroelectric?
4:03 The Math of Ferroelectrics: Landau-Devonshire Theory
12:57 Hysteresis Loops
15:40 Applications of Ferroelectrics
20:30 Current Research in Ferroelectrics
21:37 Piezoresonse Force Microscopy (PFM)
23:01 Summary, Acknowledgements, Conclusions
All views expressed in this video are my own and are made in my individual capacity. I make no claim, implicit or otherwise, to represent the views of my previous or current employers.
#SoME4
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