E8 symmetry seen in ultracold electrons

A visual representation of E8 symmetry. The two smallest concentric rings of solid red dots have their radius in the golden ratio as seen experimentally for the two lowest resonance frequencies of the magnetic spins. Credit: Wikimedia/Claudio Rocchini.

An exotic type of symmetry – suggested by string theory and theories of high-energy particle physics, and also conjectured for electrons in solids under certain conditions – was observed  experimentally for the first time, earlier last year.

An international team, led by scientists from Oxford University, reported in an article in Science how they spotted the symmetry, termed E8, in the patterns formed by the magnetic spins in crystals of the material cobalt niobate, cooled to near absolute zero and subject to a powerful applied magnetic field. The material contains cobalt atoms arranged in long chains and each atom acts like a tiny bar magnet that can point either ‘up’ or ‘down’.

Natures zoo of elementary particles is not a random mishmash; it has striking patterns and interrelationships that can be depicted on a diagram corresponding to one of the most intricate geometric objects known to mathematicians, called E8. Image: Illustrations by Chad Hagen

When a magnetic field is applied at right angles to the aligned spin directions, the spins can ‘quantum tunnel’ between the ‘up’ and ‘down’ orientations. At a precise value of the applied field these fluctuations ‘melt’ the ferromagnetic order of the material resulting in a ‘quantum critical’ state.

‘You might expect to see random fluctuations of the spins at this critical point but what we uncovered was a remarkable structure in the resonances of the magnetic spins indicating a perfectly harmonious state,’ said Radu Coldea from Oxford University’s Department of Physics who led the team. As the critical state was approached the researchers observed that the chain of atoms behaved like a ‘magnetic guitar string’.

Radu added: ‘The tension comes from the interaction between spins causing them to magnetically resonate. We found a series of resonant modes. Close to the critical field the two lowest resonant frequencies approached closely the golden ratio 1.618…, a characteristic signature of the predicted E8 symmetry.’

Edited by Deskarati from Exotic symmetry seen in ultracold electrons and A Geometric Theory of Everything

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