An international team of researchers has presented a finding that could help to identify exotic quantum states. The team seen strongly competing factors that affect an electron's behavior in a high-quality quantum material.

As an electron moves, its motion and spin can become linked through an effect known as spin–orbit coupling. This effect is useful because it offers a way to externally control the motion of an electron depending on its spin—a vital ability for spintronics. Spin–orbit coupling is a complex mix of quantum physics and relativity, but it becomes easier to understand by envisioning a round soccer ball. "If a soccer player kicks the ball, it flies on a straight trajectory," explains Denis Maryenko of the RIKEN Center for Emergent Matter Science. "But if the player gives the ball some rotation, or spin, its path bends." The ball's trajectory and its spinning motion are connected. If its spinning direction is reversed, the ball's path will bend in the opposite direction.

Unlike soccer balls, electrons also interact with each other: two negatively charged particles will repel each other, for example. This mutual repulsion and the spin–orbit interaction compete with each other: the former can act to align an electron's spin with that of other electrons, whereas the latter tries to align an electron's spin with its motion.

"This interplay has recently attracted a lot of interest, since it could lead to the emergence of novel electronic and spin phases, which may be used in future quantum technologies," says Maryenko. "It is thus important to understand the fundamentals of the interplay." But it is incredibly difficult to identify both effects at the same time.

Now, Maryenko and his colleagues have succeeded in disentangling the two effects.

They looked at electrons trapped between two semiconductors, magnesium zinc oxide and zinc oxide. Since the system had very few atomic impurities, there was a strong interaction between electrons. And the researchers could control the strength of the spin–orbit coupling by varying the magnesium content. "We looked carefully at how the sample resistance changed when we applied a magnetic field," says Maryenko. In this way, they were able to identify signatures of both spin–orbit and the mutual repulsion due to the electrons' charges.



This high-quality material system thus represents a great resource for testing theoretical predictions and it opens a path to develop spintronic phenomena in strong-electron-correlation regimes.

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