| Mechanism of Slow Relaxation due to Screening Effect in a Frustrated System (2007) | |||||||||
Abstract | |||||||||
| We study a slow relaxation process in a frustrated spin system in which a kind of screening effect due to frustrated environment plays an important role. This screening is attributed to highly degenerate configurations of the frustrated environment. This slow relaxation appears due to an entropy effect and is different from those due to energy barrier observed in systems such as random ferromagnets. In the present system, even if there is no energy gap, the slow relaxation still takes place. Thus, we call this phenomenon "entropic slowing down". Here, we study mechanism of the entropic slowing down quantitatively in an Ising spin model with the so-called decorated bonds. The spins included in the decorated bonds (decoration spins) cause peculiar density of states, which causes the entropy-originated screening effect. We analytically estimate the time scale of the system which increases exponentially with the number of the decoration spins. We demonstrate a scaling of the relaxation processes by the time scale at all temperatures including the critical point.. Comment: 15 pages, 8 figures | |||||||||
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