Critical behaviour in two-dimensional Coulomb Glass at zero temperature

Abstract

The lattice model of Coulomb Glass in two dimensions with box-type random field distribution is studied at zero temperature for system size upto $96^2$. To obtain the minimum energy state we annealed the system using Monte Carlo simulation followed by further minimization using cluster-flipping. The values of the critical exponents are determined using the standard finite size scaling. We found that the correlation length $\xi$ diverges with an exponent $\nu =1.0$ at the critical disorder $W_c=0.2253$ and that ${\chi }_{dis}\approx {\xi }^{4-\bar{\eta }}$ with $\bar{\eta }=2$ for the disconnected susceptibility. The staggered magnetization behaves discontinuously around the transition and the critical exponent of magnetization $\beta =0$. The probability distribution of the staggered magnetization shows a three peak structure which is a characteristic feature for the phase coexistence at first-order phase transition. In addition to this, at the critical disorder we have also studied the properties of the domain for different system sizes. In contradiction with the Imry-Ma arguments, we found pinned and non-compact domains where most of the random field energy was contained in the domain wall. Our results are also inconsistent with Binder's roughening picture.

9 pages, 13 figures

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Cited by in corpus (7)

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• Effect of increasing disorder on domains of the two-dimensional Coulomb glass
• Charge ordering in the three-dimensional Coulomb glass at finite temperatures and low disorders
• Relaxation dynamics of the three-dimensional Coulomb Glass model
• The effect of screening on the relaxation dynamics in the Coulomb glass
• Phase Ordering Kinetics of the Asymmetric Coulomb Glass Model
• Relaxation of the Random Site Coulomb glass Model in Two Dimensions