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A dynamical treatment of the spin glass transition
| Content Provider | Scilit |
|---|---|
| Author | Gotze, W. Sjogren, L. |
| Copyright Year | 1984 |
| Description | Journal: Journal of Physics C: Solid State Physics Closed non-linear equations are derived through mode-coupling approximations for the correlation functions and susceptibilities for the Edwards-Anderson model of a classical Heisenberg system with nearest-neighbour random exchange couplings. These equations, which exhibit full dynamical stability, lead to a self-consistent treatment of spin-density propagation and spin-current relaxation. They are found to describe a transition from a paramagnetic to a spin glass phase, which is viewed as one where the dynamics changes from ergodic to a non-ergodic behaviour. Near the critical temperature $T_{c}$ the low-frequency correlation functions are obtained as dynamical scaling laws governed by a critical frequency omega$ _{c}$, which slows down proportionally to epsilon$ ^{2}$, with epsilon $=(T-T_{c})/T_{c}$. Approaching the critical point from the paramagnetic side the diffusivity vanishes linearly with epsilon . The susceptibility exhibits a symmetric cusp. The drastic changes of the spin dynamics at the transition point show up most clearly for the spin-current spectra. The numerical solution of the equations is discussed. |
| Related Links | http://iopscience.iop.org/article/10.1088/0022-3719/17/32/011/pdf |
| Ending Page | 5784 |
| Page Count | 26 |
| Starting Page | 5759 |
| ISSN | 00223719 |
| DOI | 10.1088/0022-3719/17/32/011 |
| Journal | Journal of Physics C: Solid State Physics |
| Issue Number | 32 |
| Volume Number | 17 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1984-11-20 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Critical Point Glass Transition Nearest Neighbour Numerical Solution Spin Current Spin Glass Treatment of Spin |
| Content Type | Text |
| Resource Type | Article |
| Subject | Physics and Astronomy Condensed Matter Physics Engineering |
