Vector Electric Field Measurement via Position-Modulated Kelvin Probe Force Microscopy
Ryan P. Dwyer, Louisa M. Smieska, Ali Moeed Tirmzi, John A. Marohn

TL;DR
This paper introduces a novel variation of Kelvin probe force microscopy that allows for spatially-resolved electric field measurements by employing position modulation and lock-in detection, enhancing analysis of charge behavior in semiconducting materials.
Contribution
A new FM-KPFM technique that measures electric field components along multiple directions simultaneously using position modulation and numeric differentiation.
Findings
Successfully measured in-plane electric field vectors near trapped charges.
Demonstrated technique on organic transistor, showing practical applicability.
Simple implementation suitable for inhomogeneous samples.
Abstract
High-quality spatially-resolved measurements of electric fields are critical to understanding charge injection, charge transport, and charge trapping in semiconducting materials. Here, we report a variation of frequency-modulated Kelvin probe force microscopy (FM-KPFM) that enables spatially-resolved measurements of the electric field. We measure electric field components along multiple directions simultaneously by employing position modulation and lock-in detection in addition to numeric differentiation of the surface potential. We demonstrate the technique by recording linescans of the in-plane electric field vector in the vicinity of a patch of trapped charge in a DPh-BTBT organic field-effect transistor. This technique is simple to implement and should be especially useful for studying electric fields in spatially inhomogeneous samples like organic transistors and photovoltaic…
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