We have here studied a two dimensional Coulomb glass model at low disorder strength, using two different optimization techniques. An algorithm introduced by Baranovskii et al. [6] (BEGS) and its modifications have been used successfully to find the ground state (global minima) of Coulomb glass system at high disorders. We have done a detailed comparison of the structure and energy of the minimum energy state obtained from BEGS algorithm and the Monte Carlo annealing at low disorders. We found that the minimum energy state obtained using Monte Carlo annealing are always lower in energy than the one obtained using BEGS algorithm. The reason why Monte Carlo annealing leads to better optimization than the BEGS algorithm is explained in terms of the domain picture.
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