Abstract
We have studied the ground states of two dimensional lattice model of Coulomb Glass via Monte Carlo annealing. Our results show a possibility of existence of a critical disorder (Wc) below which the system is in the charge ordered phase and above it the system is in the disordered phase. We have used finite size scaling to calculate Wc = 0.2413, the critical exponent of magnetization β = 0 indicating discontinuity in magnetization and the critical exponent of correlation length ν = 1.0. The distribution of staggered magnetization for different disorder strengths shows a three peak structure. We thus predict that two dimensional Coulomb Glass shows a first order transition at T=0.
Highlights
Since the introduction of Random field Ising Model, a lot of discussion has been done on the possibility of existence of ferromagnetic ordering below a critical disorder strength (Wc) in two dimensional (2D) RFIM
If we assume that the above arguments which are claiming that at T = 0 there is a finite disorder strength below which long range ordering in 2d RFIM exist, the order of transition is another question which is not answered very clearly
We are here interested in determining whether a critical behaviour similar to 2d RFIM exist in the case of 2d Coulomb Glass (CG)
Summary
Since the introduction of Random field Ising Model, a lot of discussion has been done on the possibility of existence of ferromagnetic ordering below a critical disorder strength (Wc) in two dimensional (2D) RFIM. These numerical work suggests a possibility of presence of long range ordering in 2d RFIM at low disorder strengths. Numerical study of 3d RFIM at T = 0 claims transitions to be of continuous type [23,24,25,26] but the value of the critical exponent of magnetization (β) is very close to zero in all the papers.
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