How Kobe University Clarifies 120-Degree Patterns in Magnetic Response

A repeating 120-degree pattern in voltage response to a rotating magnetic field, long considered a sign of materials with potential for quantum computing or spintronics, can also arise in classical materials, according to new calculations from Kobe University researchers. The findings refine the diagnostic and enable more purposeful design. Kobe University quantum solid state physicist FUSEYA Yuki explains that this research addresses a problem where that isn’t necessarily the case. First author YAMADA Akiyoshi states this research is “a breakthrough that has uncovered a blind spot in both theory and experiment,” providing physicists with sharper tools for material identification and more purposeful design.

Planar Hall Effect Distinguishes Classical and Exotic Materials

Researchers send a current through a flat sample and observe the resulting voltage when exposed to an in-plane magnetic field, analyzing how the voltage pattern changes as the field rotates. In solid-state physics, laws underpinned by symmetry hold true. The team found that a 120-degree rotational symmetry in the voltage pattern, previously linked to unusual quantum behavior, can actually be predicted by extending existing classical theory from 70 years ago. This refines the diagnostic and enables more purposeful design. The researchers found that alignment dictates the threefold component, with applicability across a broad range of materials. Yamada adds, “This study demonstrates that by deciphering the hidden regularities of the electron flow, information regarding microscopic crystal symmetry and electronic structure can be extracted from macroscopic electrical measurements.”

Higher-Order Classical Theory Explains Threefold Symmetry

The search for materials exhibiting exotic quantum properties has long relied on the planar Hall effect as a rapid diagnostic tool, but recent work from Kobe University challenges the assumptions underpinning this technique. The team tackled a situation where the 120-degree pattern wasn’t a reliable indicator of special properties. Researchers found that alignment dictates the threefold component, with applicability across a wide class of materials. “I was drawn to the intriguing nature of this exception, so I wanted to tackle the problem,” Fuseya said, detailing how a higher-order analysis of a 70-year-old classical theory revealed the possibility of threefold symmetry even in non-triangular crystals. “The point is alignment: The crystal-probe orientation dictates the threefold component, with applicability across a wide class of materials,” the researchers write.

In solid-state physics, beautiful laws underpinned by symmetry hold true. For example, in a crystal with the symmetry of a square, that same symmetry is usually reflected in its physical response. However, the problem we tackled this time is a bit different,” says Kobe University quantum solid state physicist FUSEYA Yuki.

Crystal Alignment Dictates Voltage Patterns in Materials

Kobe University physicists are refining how materials scientists interpret a common diagnostic tool used to identify materials with unique quantum properties. Researchers analyze the voltage pattern as the magnetic field rotates to infer material properties. However, the Kobe University group’s calculations reveal that existing models hadn’t accounted for higher-order effects within established classical theory. For example, in a crystal with the symmetry of a square, that same symmetry is usually reflected in its physical response,” explains FUSEYA Yuki, but the team found that alignment dictates the threefold component, a known principle. Their analysis, published in Physical Review B, shows that the 120-degree pattern isn’t necessarily a sign of unusual quantum properties. “What is particularly striking is that the response reflects mirror symmetry rather than much rarer rotational symmetry,” adds YAMADA Akiyoshi, the study’s first author. This means a wider range of materials, when fabricated with a specific crystal orientation, can exhibit this pattern, opening possibilities for more versatile magnetic sensors and devices.

That is, even if the crystal doesn’t have triangular symmetry, its electrical response to a magnetic field may exhibit the same symmetry as a triangle,” explains Fuseya.

Fuseya
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Ivy Delaney

Ivy Delaney has been working with neural networks and machine learning since the mid-nineties, back when a couple of hidden layers and a long afternoon of training counted as ambitious. She has watched the field go from academic curiosity to the thing quietly running underneath everything, and she brings that long view to quantum computing. For Quantum Zeitgeist she covers the ground where the two fields meet. That means quantum machine learning and the variational algorithms it leans on, and it also means the less glamorous but more interesting story of classical machine learning already doing real work inside quantum machines, decoding error-correcting codes, calibrating noisy hardware and learning the error models that simulators depend on. She writes about the hardware those algorithms have to run on too, and about the post-quantum cryptography scramble that the same hardware has set off. Her stories typically start with the paper, whether that is peer-reviewed work, conference proceedings or an arXiv preprint, with the source linked so you can hold a claim up against the research it came from. She is unimpressed by benchmarks that will not say what they beat, and by demonstrations that only work in the press release.

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