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Conductive atomic force microscopy

Method of measuring the microscopic topography of a material

Conductive atomic force microscopy

Method of measuring the microscopic topography of a material

Topographic (left) and current (right) maps collected with CAFM on a polycrystalline HfO<sub>2</sub> stack. The images show very good spatial correlation.

In microscopy, conductive atomic force microscopy (C-AFM) or current sensing atomic force microscopy (CS-AFM) is a mode in atomic force microscopy (AFM) that simultaneously measures the topography of a material and the electric current flow at the contact point of the tip with the surface of the sample. The topography is measured by detecting the deflection of the cantilever using an optical system (laser + photodiode), while the current is detected using a current-to-voltage preamplifier. The fact that the CAFM uses two different detection systems (optical for the topography and preamplifier for the current) is a strong advantage compared to scanning tunneling microscopy (STM). Basically, in STM the topography picture is constructed based on the current flowing between the tip and the sample (the distance can be calculated depending on the current). Therefore, when a portion of a sample is scanned with an STM, it is not possible to discern if the current fluctuations are related to a change in the topography (due to surface roughness) or to a change in the sample conductivity (due to intrinsic inhomogeneities).

The CAFM is usually operated in contact mode; the tip can be kept at one location while the voltage and current signals are applied/read, or it can be moved to scan a specific region of the sample under a constant voltage (and the current is collected). Recently, some manufacturers provide the option of measuring the current in semi-contact mode. The CAFM was first developed by Sean O'Shea and co-workers at the University of Cambridge in 1993, and it is referred to in the literature by several names, including C-AFM, local-conductivity AFM (LC-AFM), conductive probe AFM (CP-AFM), conductive scanning probe microscopy (C-SPM) or conductive scanning force microscopy (C-SFM), although CAFM is the most widespread.

Working principle

In order to transform an AFM into a CAFM, three elements are required: i) the probe tip must be conductive, ii) a voltage source is needed to apply a potential difference between the tip and the sample holder, and iii) a preamplifier is used to convert the (analogical) current signal into (digital) voltages that can be read by the computer. In CAFM experiments, the sample is usually fixed on the sample holder using a conductive tape or paste, being silver paints the most widespread. A Faraday cage is also convenient to isolate the sample from any external electrical interference. Using this setup, when a potential difference is imposed between tip and sample an electrical field is generated, which results in a net current flowing from tip-to-sample or vice versa. The currents collected by the CAFM obey the relationship:

I = J \cdot A_{eff}

where I is the total current flowing through the tip/sample nanojunction, J is the current density and Aeff is the effective emission area through which electrons can flow (from now on we will refer to it just as effective area). The most common mistake in CAFM research is to assume that the effective emission area (Aeff) equals the physical contact area (Ac). Strictly, this assumption is erroneous because in many different tip/sample systems the electrical field applied may propagate laterally. For example, when the CAFM tip is placed on a metal the lateral conductivity of the sample is very high, making (in principle) the whole sample surface area electrically connected (Aeff equals the area covered by the metallic film/electrode). Aeff has been defined as:"the sum of all those infinitesimal spatial locations on the surface of the sample that are electrically connected to the CAFM tip (the potential difference is negligible). As such, Aeff is a virtual entity that summarizes all electrically relevant effects within the tip/sample contact system into a single value, over which the current density is assumed to be constant." Therefore, when the CAFM tip is placed in contact with a metal (a metallic sample or just a metallic pad on an insulator), the lateral conductivity of the metal is very high, and the CAFM tip can be understood as a current collector (nanosized probe station); on the contrary, if the CAFM tip is placed directly on an insulator, it acts as a nanosized electrode and provides a very high lateral resolution. The value of Aeff when a Pt-Ir coated tip (with a typical radius of 20 nm) is placed on a SiO2 insulating film has been calculated to be typically 50 nm2. The value of Aeff can fluctuate depending on the environmental conditions, and it can range from 1 nm2 in ultra high vacuum (UHV) to 300 nm2 in very humid environments. On well-defined single crystal surfaces under UHV conditions it has even been demonstrated that measurements of the local conductivity with atomic resolution are possible.

Issues with conventional CAFM

Common problems in conventional CAFM include difficulty in managing high and low currents and avoiding unwanted side-effects such as the Joule, Bimetallic and local oxidation effects when using high currents. In order to produce accurate and reproducible measurements, frequent tip replacements and repeated experimental setup can be required. A book edited by Mario Lanza discusses these issues (Chapter 12, Pacheco and Martinez. 2017). This chapter, written by employees of AFM manufacturer Concept Scientific Instruments, claims that their company's module named ResiScope overcomes these issues, and provide supporting data, without any supporting peer-reviewed publication.

In order to overcome the narrow dynamic range limitations of conventional preamplifiers, advanced modules such as the ResiScope have been developed. The ResiScope allows for resistance measurements across a wide dynamic range — spanning over ten decades — from approximately 10² Ω to 10¹² Ω, while maintaining high spatial resolution. This capability enables the detailed study of materials with both low and high conductivity on the nanoscale.

Applications

first7=G.}}</ref> among others.
Number of publications and citations referring to CAFM per year up to June 14th of 2016 (source Web of Science)

Apart from monitoring the electrical properties of a dielectric, the CAFM can be also used to alter its properties by applying an electrical field locally. In particular, the CAFM is especially useful to determine which locations of the samples lead to premature BD, which can provide essential information about the reliability of the samples. The CAFM also helped to confirm the percolation theory of the BD by experimentally proving that this is a very local phenomenon that occurs in small areas typically below 100 nm2. Lateral propagations of the BD event can also be detected by CAFM. The severity of the BD event can also be studied from the dielectric breakdown induced epitaxy, which can be observed from subsequent topographic images collected with the CAFM after the voltage ramp. Similarly, the analysis of the BD recovery (resistive switching, RS) can also be monitored by CAFM. All the capabilities of the CAFM for studying resistive switching in dielectrics have been summarized in the review article of reference. Unlike a normal AFM, the CAFM can be also used to perform local photolithography via bias-assisted local anodic oxidation (LAO). Nowadays the CAFM technique has expanded to many other fields of science, including physics, materials science, chemistry and engineering (among many others), and it has been used to study different materials and/or structures, including nanoparticles, molecules, nanowires, carbon nanotubes, two dimensional (2D) materials, coatings, photoelectricity and piezoelectricity (among others). As of June 14 of 2016, the CAFM had been used in 1325 journal research articles, and it has become a popular tool in nanosciences.

Challenges of CAFM on soft materials

There is now an increasing use of the electrical characterisation capabilities of AFM in nanotechnology-based fields such as energy harvesting, organic/polymer-based electronics, semiconductors etc. Flexible electronics based on organic compounds are gaining popularity as soft electrical materials.

Currently, two different methods are used for Conductive AFM (C-AFM) measurements of soft materials such as conductive polymers.

Sinusoidal Regime Method

In the Sinusoidal Regime method, the cantilever is mechanically excited in the range of 100–2000 Hz i.e. well below its natural resonance frequency. The tip of the cantilever interacts with the substrate periodically during the bottom part of its sinusoidal displacement. This method allows easy imaging of soft samples by controlling the amplitude of the movement of the tip. However, some quantitative measurements cannot be performed (electrical, thermal, etc…) because the force exerted by the tip on the sample is variable.

Linear Regime Method

The Linear Regime Method is based on the force versus distance spectroscopy curves. In this quasi-static approach, the cantilever follows an approach-retract cycle towards the sample with constant velocity. Hooke's law is used to select the force to be exerted. F=k*z, where F is the applied force, k is the cantilever constant and z is the cantilever deflection relative to the rest deflection position. However, this method is slow with an approach-retract cycle of 1 sec. At this rate, it can take up to 3 days to measure a standard 512 x 512 image.

A new approach to resolve these issues is the Soft ResiScope mode which combines fast point contacts and constant force.

CAFM probes

title=NanoWorld}}</ref> The main problems of diamond-coapted CAFM tips are: i) they are much more expensive, and ii) they are very stiff and can damage (scratch) the surface of the samples under tests. Another option is to use sharpened metallic wires as the tip, but also the use of hone techniques increases their price (compared to metal-coated Si tips). Furthermore, these tips can also degrade (lose their conductivity) by particle adhesion. A cheap and effective methodology to protect CAFM tips from degrading is to coat them with graphene, which can withstand well the high current densities and mechanical friction. Moreover, graphene is inert and slows down particle adhesion to the tip apex.

The preamplifier

first6=X.}}</ref> which can capture the currents flowing through the tip/sample system at any range and with a high resolution.

References

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