Mechanism of slow relaxation due to screening effect in a frustrated system

Shu Tanaka*, Seiji Miyashita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We study a slow relaxation process in a frustrated spin system in which a type of screening effect due to a frustrated environment plays an important role. This screening effect is attributed to the highly degenerate configurations of the frustrated environment. This slow relaxation is due to an entropy effect and is different from those due to the 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 the mechanism of entropic slowing down quantitatively in an Ising spin model with the so-called decorated bonds. The spins included in decorated bonds (decoration spins) cause a peculiar density of states, which causes on entropy-induced screening effect. We analytically estimate the time scale of the system that increases exponentially with the number of decoration spins. We demonstrate the scaling of relaxation processes using the time scale at all temperatures including the critical point.

Original languageEnglish
Article number084002
JournalJournal of the Physical Society of Japan
Issue number8
Publication statusPublished - 2009 Aug
Externally publishedYes


  • Decorated bond system
  • Entropy effect
  • Frustration
  • Ising Spin system
  • Slow relaxation

ASJC Scopus subject areas

  • General Physics and Astronomy


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