Solution of the Quantum Sherrington-Kirkpatrick Model
| dc.creator | Grempel, D. R. | |
| dc.creator | Rozenberg, M. J. | |
| dc.date | 1997-07-28 | |
| dc.date.accessioned | 2026-07-07T09:11:58Z | |
| dc.date.available | 2026-07-07T09:11:58Z | |
| dc.description | We solve the $S=1/2$ infinite-range random Heisenberg Hamiltonian in the paramagnetic phase using quantum Monte Carlo and analytical techniques. We find that the spin-glass susceptibility diverges at a finite temperature $T_g$ which demonstrates the existence of a low-temperature ordered phase. Quantum fluctuations reduce the critical temperature and the effective Curie constant with respect to their classical values. They also give rise to a redistribution of spectral weight in the dynamic structure factor in the paramagnetic phase. As the temperature decreases the spectrum of magnetic excitations gradually splits into quasi-elastic and inelastic contributions whose weights scale as $S^2$ and $S$ at low temperature. | |
| dc.description | 4 pages revtex with 2 ps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9707288 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9707288 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151870 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Solution of the Quantum Sherrington-Kirkpatrick Model | |
| dc.type | text |