Abstract
The hopping electron model on the Kagome lattice was investigated by kinetic Monte Carlo simulations, and the non-equilibrium nature of the system was studied. We have numerically confirmed that aging phenomena are present in the autocorrelation function \hbox{$C \, \left({t,t_{W} } \right)$}C t,tW)( of the electron system on the Kagome lattice, which is a geometrically frustrated lattice without any disorder. The waiting-time distributions \hbox{$p\left(\tau \right)$}pτ)( of hopping electrons of the system on Kagome lattice has been also studied. It is confirmed that the profile of \hbox{$p\, \left(\tau \right)$}p τ)( obtained at lower temperatures obeys the power-law behavior, which is a characteristic feature of continuous time random walk of electrons. These features were also compared with the characteristics of the Coulomb glass model, used as a model of disordered thin films and doped semiconductors. This work represents an advance in the understanding of the dynamics of geometrically frustrated systems and will serve as a basis for further studies of these physical systems.
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Terao, T. Hopping electron model with geometrical frustration: kinetic Monte Carlo simulations. Eur. Phys. J. B 89, 209 (2016). https://doi.org/10.1140/epjb/e2016-70141-4
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DOI: https://doi.org/10.1140/epjb/e2016-70141-4