To decide whether a new material has promise as a semiconductor or meets a manufacturer's specifications, companies need to be able to essentially count the number of freely moving "charge carriers" floating within the material, as well as their mobility or how easily they are able to move. Negative carriers are electrons; positive carriers are referred to as "holes" and are places where an electron is missing.
Semiconductors are typically doped with impurities to increase the number of free electrons in one area of the material and the number of free holes in another area of the material, which gives the semiconductor a negative and positive side.
The traditional way of measuring charge carrier concentration, called the Hall method, takes some time and skill: it requires hand-soldering a series of metal electrical contacts onto a wafer of the material, exposing that wafer to a magnetic field, applying a current, and measuring a voltage.
New vs. Old: The traditional test for assessing the quality of a semiconductor, called the Hall method, measures the number of freely moving charge carriers (electrons and holes) in a material. But it is fairly time-consuming to perform.
A new, quicker technique makes this measurement by exposing the semiconductor to terahertz (THz) light, which is much redder than the human eye can see. The THz light shines straight through pure silicon and other semiconductor materials.
But it is absorbed by the freely moving electrons and holes (added to the material by doping it with impurities or by exposing it to certain frequencies of light). The more charge carriers in the material, the less THz light shines through the other side. The method measures not only how many charge carriers there are in the material, but also how easily they move around.
But while the Hall method works well for silicon, it often doesn't work at all for many promising exotic materials. "The contacts don't adhere," says Ted Heilweil of the NIST Physical Measurement Laboratory (PML). "You just can't get the stuff to stick."
Heilweil and his NIST colleagues have been exploring another potential option, a method that doesn't require any electrical contacts at all. Instead, it involves shining pulses of light through a sample of the semiconductor material and measuring the amount that comes out the other side.
The new laser-based method gauges the number of charge carriers in the material using terahertz (THz) radiation, which has a wavelength much longer than the human eye can see, in the far infrared to microwave range.
To THz light, pure silicon and other semiconductors are essentially invisible. But one thing that absorbs that light is freely moving charge carriers. So the more free electrons and holes there are in the material, the less light shines through.
To see how well the newer method measures up against the traditional Hall technique, the NIST team performed both tests on a wide range of sample wafers and crystals, all commercially available and under active study by industry.
The samples included both pure silicon wafers and silicon wafers doped with various impurities, as well as pieces of germanium and crystals of zinc telluride, gallium arsenide, and gallium phosphide. The sample thicknesses ranged from 300 micrometers to only 4 or 7 micrometers – a fraction of the thickness of a human hair.
NIST PML's Robert Thurber, who has spent decades measuring wafers using the traditional method, tested each sample using the Hall technique. He then passed those samples to Heilweil's lab for testing with the terahertz apparatus. NIST National Research Council (NRC) postdoctoral researcher Brian Alberding also worked to perform and analyse the optical measurements.
A sample of zinc telluride (orange square) and silicon (cross) used in the study. The silver markings in their corners are where the electrodes were attached for the Hall method comparison.
The result? The optical method works well, Heilweil says. For the silicon wafers, the numbers from the Hall and THz methods were in good agreement – within 50% of each other – and also generally matched what has been published by other labs in the past.
For the non-silicon samples where both types of measurement could be done, the values were also in good agreement, falling within one another's measurement uncertainties. This success gives the researchers more confidence in the THz measurements they made on materials (such as zinc telluride) that cannot be reliably tested using the Hall method.
The study represents the first time, to the authors' knowledge, that the new and old methods have been used on the same samples. "It always bothered me that there was a contact method and a non-contact method, but there was no comparison between the two," Heilweil says. "Using this approach, we were able to make very good comparisons."
A bonus for this method is that it can be used to study photo-doping, or the use of light to temporarily increase a semiconductor's conductivity. This is basically how a solar cell works: the Sun illuminates a material and an equal number of electrons and holes are generated.
For this work, the NIST researchers activated the material using a second beam of light with a different frequency, dependent on the material being probed. They then used the terahertz beam to tell them how many free electrons and holes were generated, as well as their mobility, or how easily they can move through the material.
In addition to allowing the assessment of materials that could not be tested before, the laser technique could be used for quicker quality-control work for silicon wafers. Someday, testing could be as easy as inserting a sample into an optical reader and getting a result almost immediately.
This is potentially great for research and development, Heilweil says, because companies could quickly test new ideas, devices, and materials to see how well they are working.
For now, though, the technique requires an expensive laser system, so it would need to be commercialised before it could be integrated into most manufacturers' laboratories. Meanwhile, Heilweil continues using the laser method to study exotic materials such as ruthenium oxide, a promising transparent conducting material, as well as graphene and other conductive 2D materials with nanoscale layers, which could one day be used to paint electronics onto surfaces. "I think if I can make a little bit of a dent in the scientific community in that way it would be very cool," Heilweil says.