# Effect of interactions and disorder on the relaxation of two-level systems in amorphous solids Academic Article

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### abstract

• At low temperatures the dynamical degrees of freedom in amorphous solids are tunneling two-level systems (TLSs). Concentrating on these degrees of freedom, and taking into account disorder and TLS-TLS interactions, we obtain a TLS glass,'' described by the random-field Ising model with random $1/{r}^{3}$ interactions. In this paper we perform a self-consistent mean-field calculation, previously used to study the electron-glass (EG) model [A. Amir et al., Phys. Rev. B 77, 165207 (2008)]. Similarly to the electron glass, we find a $\frac{1}{\ensuremath{\lambda}}$ distribution of relaxation rates $\ensuremath{\lambda}$, leading to logarithmic slow relaxation. However, with increased interactions the EG model shows slower dynamics whereas the TLS-glass model shows faster dynamics. This suggests that given system-specific properties, glass dynamics can be slowed down or sped up by the interactions.

### publication date

• April 20, 2017