An Analytical Theory of Piezoresistive Effects in Hall Plates with Large Contacts
Author
Source
Advances in Condensed Matter Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-04
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
Four-terminal transducers can be used to measure the magnetic field via the Hall effect or the mechanical stress via the piezoresistance effect.
Both effects are described by an anisotropic conductivity tensor with small offdiagonal elements.
This has led other authors to the conclusion that there is some kind of analogy.
In both cases the output voltage depends on the geometry of the device and the size of the contacts.
For Hall plates this influence is accounted for by the Hall-geometry factor.
The alleged analogy proposes that the Hall-geometry factor also applies to four-terminal stress transducers.
This paper shows that the analogy holds only for a limited class of devices.
Moreover, it is shown that devices of different geometries may have identical magnetic field sensitivity but different mechanical stress sensitivities.
Thus, shape optimization makes sense for mechanical stress sensors.
In extreme cases the output voltages of vertical Hall-effect devices may have notable magnetic field sensitivity but zero mechanical stress sensitivity.
As byproduct, exact analytical formulae for the equivalent resistor circuit of rectangular and circular devices with two perpendicular mirror symmetries are given.
They allow for an accurate description of how mechanical stress and deformation affect the output offset voltage and the magnetic sensitivity of Hall-effect devices.
American Psychological Association (APA)
Ausserlechner, Udo. 2018. An Analytical Theory of Piezoresistive Effects in Hall Plates with Large Contacts. Advances in Condensed Matter Physics،Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1117317
Modern Language Association (MLA)
Ausserlechner, Udo. An Analytical Theory of Piezoresistive Effects in Hall Plates with Large Contacts. Advances in Condensed Matter Physics No. 2018 (2018), pp.1-24.
https://search.emarefa.net/detail/BIM-1117317
American Medical Association (AMA)
Ausserlechner, Udo. An Analytical Theory of Piezoresistive Effects in Hall Plates with Large Contacts. Advances in Condensed Matter Physics. 2018. Vol. 2018, no. 2018, pp.1-24.
https://search.emarefa.net/detail/BIM-1117317
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1117317