Her Bachelor's studies culminated in a paper published by the prestigious journal Science in 2015, titled «Quantum versus classical annealing of
Ising spin glasses.»
In the future, the team would like to study other 2D transition metal materials, going beyond the 2D
Ising spin model.
Indeed, Onsager found that the materials, which follow
the Ising spin model, have a phase transition.
It provides a recipe for translating any spin model, no matter how baroque, into a 2D Ising model, with the complexity of the original model encoded in the couplings between
the Ising spins and the magnetic fields.
Not exact matches
Ising hoped to show that below a certain temperature the
spins would undergo a magnetic phase transition.
However, he could «solve» only the 1D
Ising model — a single string of
spins — and found it had no phase transition.
Then in 1944 the enigmatic Norwegian - American chemist Lars Onsager solved the
Ising model with uniform couplings and no external fields on a 2D square pattern of
spin.
That «
Ising model» is the simplest
spin model and already has a legendary history.
Meanwhile, spurred in part by
Ising's difficulties, physicists invented plenty of other
spin models.
That SAT problem can then be translated onto the 2D
Ising model, thus making the two
spin models equivalent.
The simple 2D
Ising model, shown schematically on the left, can be made equivalent to any other more complicated
spin model, such as those on the right.
The
Ising model was the first
spin model, invented in 1920 by German physicist Wilhelm Lenz, who gave it to his student Ernst
Ising to analyze.
The 2D
Ising model must have more
spins than the original
spin model.
In condensed matter physics, Dyson also did studies in the phase transition of the
Ising model in 1 dimension and
spin waves [11] Dyson was awarded the Lorentz Medal in 1966 and Max Planck medal in 1969.