Exactly solvable quantum magnets and spin glasses

Theo M. Nieuwenhuizen

T. Morita, Tomoya Horiguchi

Naoto Shiraishi

Abstract We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model in the entire parameter region. The obtained exact solution implies the existence of a 1RSB-fullRSB transition at low temperatures. Our technique can be applied to general classical spin models, telling that any solvable classical spin model has its solvable quantum counterpart.

Naoto Shiraishi

We introduce a novel quantum spin-glass model, a Sherrington-Kirkpatrick model with a transverse mean-field type random magnet. We rigorously derive the exact expression of the free energy of this model at the entire parameter region. The obtained exact solution implies the existence of a 1RSB-fullRSB transition at low temperatures. Our technique can be applied to general classical spin models, telling that any solvable classical spin model has its solvable quantum counterpart.

Heiko Rieger, A. P. Young

Subir Sachdev A