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Quantum Symmetry Observed

January 19, 2010

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—-has been observed experimentally for the first time.

An international team, led by scientists from Oxford Univ., report in an article in Science how they spotted the symmetry, termed E8, in the patterns formed by the magnetic spins in crystals of cobalt niobate, cooled to near absolute zero and subjected 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”.

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,” says Radu Coldea from Oxford Univ.’s Dept. 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”.

“The tension comes from the interaction between spins causing them to magnetically resonate,” says Radu. “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.”

Radu is convinced that this is no coincidence and it reflects a subtle form of order present in the quantum system.

The resonant states seen experimentally in cobalt niobate may be our first glimpse of complex symmetries that can occur in the quantum world. “The results suggest that similar “hidden” symmetries may also govern the physics of other materials near quantum critical points where electrons organize themselves according to quantum rules for strong interactions,” says Radu.

The research was supported by EPSRC and Radu aims to use a new EPSRC grant to explore the physics of materials near quantum criticality.

Source: Oxford University


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