Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-03-22
Phys. Rev. B 79, 104422 (2009)
Physics
Condensed Matter
Other Condensed Matter
Scientific paper
10.1103/PhysRevB.79.104422
We study the dynamical magnetization process in the ordered ground-state phase of the transverse Ising model under sweeps of magnetic field with constant velocities. In the case of very slow sweeps and for small systems studied previously (Phys. Rev. B 56, 11761 (1997)), non-adiabatic transitions at avoided level-crossing points give the dominant contribution to the shape of magnetization process. In contrast, in the ordered phase of this model and for fast sweeps, we find significant, size-independent jumps in the magnetization process. We study this phenomenon in analogy to the spinodal decomposition in classical ordered state and investigate its properties and its dependence on the system parameters. An attempt to understand the magnetization dynamics under field sweep in terms of the energy-level structure is made. We discuss a microscopic mechanism of magnetization dynamics from a viewpoint of local cluster flips and show that this provides a picture that explains the size independence. The magnetization dynamics in the fast-sweep regime is studied by perturbation theory and we introduce a perturbation scheme based on interacting Landau-Zener type processes to describe the local cluster flip dynamics.
Barbara Bernard
Miyashita Seiji
Raedt Hans de
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