Quantum spherical magnets and spin glasses: exact solutions

Theo M. Nieuwenhuizen

Prabodh Shukla, Surjit Singh

Gaetano Busiello, E. V. Gazeeva, I. R. Khaibutdinova +1 more

Alba Theumann, Vilarbo da Silva

Junior, Vilarbo da Silva, Alexsandro Marian Carvalho

In this work, we confront the static approximate with a exact solution in the quantum spherical p-spin interaction model (p->oo and p=2). On the one hand, this study indicates that the static approximate corresponds to exact solution in the cases p->oo and p = 2 in the classic regime. On the other, the static approximate differs from the exact solution for p=2 in the quantum regime.

T. K. Kopeć

We study the Schwinger bosons SU(M) generalization of the spin-S (S\ensuremath{\equiv}\ensuremath{\kappa}M) quantum Heisenberg magnet with infinite-range, Gaussian-random exchange interactions. The spin-glass transition was accessed in the spherical limit M=\ensuremath{\infty} with fixed \ensuremath{\kappa}. The model is solved exactly in the spin-glass phase wthin the Parisi ansatz with a single step of the replica symmetry breaking. The physical consequences of this quantum spin-glass transition scenario are discussed.