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Updated: Jan 24, 2026

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An Analytical Geometry Optimization Model for Current-Mode Cross-Like Hall Plates.

Yue Xu1,2, Xingxing Hu3, Lei Jiang4

  • 1College of electronic and optical engineering & College of microelectronics, Nanjing University of Posts and Telecommunications, Nanjing 210023, China. yuex@njupt.edu.cn.

Sensors (Basel, Switzerland)
|June 5, 2019
PubMed
Summary

This study introduces an analytical model for optimizing current-mode Hall devices. It finds the optimal geometry for high current sensitivity and signal-to-noise ratio (SNR) in cross-like Hall plates.

Keywords:
current sensitivitycurrent-mode Hall devicelength-to-width ratio (L/W)signal-to-noise ratio (SNR)

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Area of Science:

  • Solid State Physics
  • Semiconductor Devices
  • Microelectromechanical Systems (MEMS)

Background:

  • Current-mode Hall devices are crucial for magnetic field sensing.
  • Optimizing device geometry is key to enhancing performance metrics like sensitivity and signal-to-noise ratio (SNR).
  • Existing models may not fully capture the interplay between geometry and performance in specific Hall plate configurations.

Purpose of the Study:

  • To develop a novel analytical geometry optimization model for current-mode Hall devices.
  • To determine the optimal geometric parameters for maximizing current sensitivity and SNR.
  • To provide design guidelines for current-mode cross-like Hall plates.

Main Methods:

  • Conformal mapping calculations were employed to analyze geometric influences.
  • An analytical model was derived to predict current sensitivity and SNR.
  • Three-dimensional (3D) Technology Computer Aided Design (TCAD) simulations were used for validation.

Main Results:

  • The analytical model identified an optimal length-to-width (L/W) ratio between 0.4-0.5 for current-mode cross-like Hall plates.
  • This optimal range maximizes both current sensitivity and SNR, considering thermal noise.
  • TCAD simulations confirmed the accuracy of the developed analytical model.

Conclusions:

  • A new analytical model enables precise geometry optimization for current-mode Hall devices.
  • The L/W ratio is a critical parameter for achieving simultaneous optimization of sensitivity and SNR.
  • This research offers practical design rules for enhancing the performance of current-mode cross-like Hall plates.