Eur. Phys. J. B (2016) 89: 209
https://doi.org/10.1140/epjb/e2016-70141-4

Regular Article

Hopping electron model with geometrical frustration: kinetic Monte Carlo simulations

Department of Electrical, Electronic and Computer Engineering, Gifu University, 501-1193 Gifu, Japan

^a e-mail: terao@gifu-u.ac.jp

Received: 6 March 2016
Received in final form: 31 May 2016
Published online: 3 October 2016

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 $\mathit{C}\hspace{0.17em}{}^{\mathrm{\right(}}\mathit{t,}{\mathit{t}}_{\mathit{W}}^{\mathrm{\left)}}$ of the electron system on the Kagome lattice, which is a geometrically frustrated lattice without any disorder. The waiting-time distributions $\mathit{p}{}^{\mathrm{\right(}}\mathit{\tau }^{\mathrm{\left)}}$ of hopping electrons of the system on Kagome lattice has been also studied. It is confirmed that the profile of $\mathit{p}\hspace{0.17em}{}^{\mathrm{\right(}}\mathit{\tau }^{\mathrm{\left)}}$ 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.