The Kondo effect, known since the 1930s, describes how magnetic impurities in metals can cause electrical resistance to rise again below a certain temperature, known as the Kondo temperature, even though metals normally conduct electricity better as they cool. Electrons swarm around the magnetic impurities, canceling out their magnetism and impeding electrical flow.
While scientists understood the cause, precisely predicting when the resistance flip occurs for different combinations of metals and magnetic impurities proved extremely difficult. The electron interactions form a "many-body problem" in which temperature, electron spins and magnetism interact at incredibly small scales, a challenge beyond the reach of even the most powerful supercomputers.
The researchers adopted an ab initio, or "from first principles," approach, borrowing techniques from chemistry to model a single magnetic atom without simplification, as if it were a larger molecule. Using mathematical shortcuts and extensive computing time, they applied basic quantum physics to the modeled atom, repeating calculations to narrow down predictions.
Comparing the modeling to lab measurements, the researchers demonstrated high accuracy. In some cases the new approach was 100 times more accurate than current simplified modeling.
"It is now possible to predict the properties of some complicated materials purely through computation without referring to experiments," says physicist Garnet Chan from Caltech.
The team studied the most basic examples of metals and magnetic atom combinations, describing the work as "a baby step, or a prototype problem" toward more complex phenomena such as high-temperature superconductors and quantum magnets, says Chan. Better prediction methods could allow scientists to develop materials such as superconductors that could transform power grids and large-scale computing, where the most promising materials also have the most complex electron behaviors.
"We are in an exciting era in which faithful predictive quantum descriptions of the full chemical complexity of real materials are coming within reach," says chemist Linqing Peng from Caltech.