In Scanning Tunneling Microscopy (STM), a voltage-controlled tunneling junction is a critical component that determines the imaging and spectroscopic capabilities of the instrument. The behavior of this junction is influenced by the voltage applied between the tip and the sample, and it plays a crucial role in the tunneling current and the resulting images obtained during STM measurements.
Here's how voltage influences the behavior of a voltage-controlled tunneling junction in STM:
Tunneling Current: The tunneling current is the flow of electrons between the tip of the STM probe and the sample surface. This current is highly sensitive to the distance between the tip and the sample. As the voltage between the tip and the sample is increased, the tunneling current generally increases exponentially due to the quantum mechanical tunneling effect. This relationship is described by the tunneling equation:
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IāVā
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d
Where:
$I$ is the tunneling current.
$V$ is the applied voltage.
$d$ is the tip-sample distance.
$\alpha$ is a constant related to the tunneling barrier height.
Imaging: The voltage-controlled tunneling junction is used to scan the STM tip across the sample surface, maintaining a constant tunneling current by adjusting the tip-sample distance based on the feedback from the current. When imaging, the applied voltage affects the apparent height of features on the surface. At a constant current, increasing the voltage causes the tunneling barrier to become narrower, making the tunneling process more sensitive to small height variations on the sample surface. This results in higher-resolution images.
Spectroscopy: Voltage-controlled tunneling is also employed for spectroscopic measurements, such as obtaining energy-resolved information about the electronic states of the sample. By sweeping the applied voltage while keeping the tip-sample distance constant, you can measure the local density of states (LDOS) at different energies. This information can reveal details about the electronic band structure and energy levels of the sample material.
Tip-Sample Interaction: The voltage applied between the tip and the sample affects the electrostatic interactions between them. This can influence the charge distribution at the sample surface and modify the tunneling characteristics. The voltage can induce changes in the sample's electronic structure and affect the apparent features observed in STM images.
In summary, the behavior of a voltage-controlled tunneling junction in scanning tunneling microscopy is strongly influenced by the applied voltage. The voltage affects the tunneling current, resolution, imaging contrast, and spectroscopic information obtained from the sample. Precise control and understanding of the voltage's impact on the tunneling process are essential for obtaining accurate and meaningful results in STM experiments.