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STMs(Scanning Tunneling Microscopes) measure the
amount of electrons that "tunnel" through a 10Å gap between
the tip and the sample surface. The direction of this flow depends
upon the sign of the applied bias voltage. (See Figure 1-2)
The resulting tunneling current varies with tip-to-sample spacing,
and it is the signal used to create an STM image. For tunneling
to take place, both the sample and the tip must be conductors
or semiconductors. Unlike AFMs, which are discussed in the next
section, STMs cannot image insulating materials.

Figure1 : Schematic of tip and sample interaction
(Figure Courtesy:Park Scientific Instruments)
STMs can be designed to scan a sample in either
of two modes: constant-height or constant-current mode, as shown
in Figure 2.

Figure 2. Comparision of constant-height and constant-current
mode for STM (Figure Courtesy:Park Scientific Instruments)
In constant-height mode, the tip travels in a
horizontal plane above the sample and the tunneling current
varies depending on topography and the local surface electronic
properties of the sample. The tunneling current measured at
each location on the sample surface constitute the data set
that can be reconstructed to form a topographic image of the
sample surface. In constant-current mode, STMs use feedback
to keep the tunneling current constant by adjusting the height
of the scanner at each measurement point. For example, when
the system detects an increase in tunneling current, it adjusts
the voltage applied to the piezoelectric scanner to increase
the distance between the tip and the sample. In constant-current
mode, the motion of the scanner constitutes the data set. If
the system keeps the tunneling current constant to within a
few percent, the tip-to-sample distance will be constant to
within a few hundredths of an angstrom. Each mode has advantages
and disadvantages. Constant-height mode is faster because the
system doesn't have to move the scanner up and down, but it
provides useful information only for relatively smooth surfaces.
Constant-current mode can measure irregular surfaces with high
precision, but the measurement takes more time. As a first approximation,
an image of the tunneling current maps the topography of the
sample. More accurately, the tunneling current corresponds to
the electronic density of states at the surface. STMs actually
sense the number of filled or unfilled electron states near
the Fermi surface, within an energy range determined by the
bias voltage. Rather than measuring physical topography, it
measures a surface of constant tunneling probability.
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