Abstract
The lattice model of the Coulomb glass in two dimensions with box-type random field distribution is studied at zero temperature for system size up to . 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 diverges with an exponent at the critical disorder and that with for the disconnected susceptibility. The staggered magnetization behaves discontinuously around the transition and the critical exponent of magnetization . 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 noncompact domains where most of the random field energy was contained in the domain wall. Our results are also inconsistent with Binder's roughening picture.
6 More- Received 23 February 2017
- Revised 18 April 2017
DOI:https://doi.org/10.1103/PhysRevB.95.184203
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