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Finite temperature phase transition in the two-dimensional Coulomb glass at low disorders

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Abstract

We present numerical evidence using Monte Carlo simulations of finite temperature phase transition in two dimensional Coulomb Glass lattice model with random site energies at half-filling. For the disorder strengths (W) studied in this paper, we find the existence of charge-ordered phase (COP) below the critical temperature (Tc(W)). Also, the probability distribution of staggered magnetization calculated at each W shows a two-peak structure at their respective critical temperature. Thus the phase transition from fluid to COP as a function of temperature is second order for all W. We find no evidence of a spin glass phase between a fluid and the COP. Further, we have used finite-size scaling analysis to calculate the critical exponents. The critical exponents at zero disorder are different from the one found at finite disorders, which indicates that the disorder is a relevant parameter here. The critical exponent for correlation length ν increases and Tc decreases with increasing disorder. Similar behaviour for ν was seen in the work of Overlin et al. for three dimensional Coulomb Glass model with a positional disorder. Our study also shows that other critical exponents are also a function of disorder.

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Author notes

  1. Preeti Bhandari

    Present address: Present address: Indian Institute of Science Education and Research Mohali, Sector 81, S.A.S. Nagar, Manauli, 140306, India

Authors and Affiliations

  1. Department of Physics, Jamia Millia Islamia, New Delhi, 110025, India

    Preeti Bhandari

  2. Department of Physics and Materials Science and Engineering, Jaypee Institute of Information Technology, Noida, Uttar Pradesh, India

    Vikas Malik

Authors
  1. Preeti Bhandari
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  2. Vikas Malik
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Correspondence to Vikas Malik.

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Bhandari, P., Malik, V. Finite temperature phase transition in the two-dimensional Coulomb glass at low disorders. Eur. Phys. J. B 92, 147 (2019). https://doi.org/10.1140/epjb/e2019-100006-y

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