Regular Article

Charge ordering in the three-dimensional Coulomb glass at finite temperatures and low disorders

¹ Department of Physical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81, S.A.S. Nagar, Manauli, P.O. Box 140306, India
² Department of Physics and Materials Science and Engineering, Jaypee Institute of Information Technology, Noida, Uttar Pradesh, India

^a e-mail: vikasm76@gmail.com

Received: 17 February 2020
Received in final form: 2 March 2020
Published online: 6 April 2020

Abstract

In this paper, we have studied the three dimensional Coulomb glass lattice model at half-filling using Monte Carlo Simulations. Annealing of the system shows a second-order transition from paramagnetic to charge-ordered phase for zero as well as small disorders. We have also calculated the critical exponents and transition temperature using a finite sizing scaling approach. The Monte Carlo simulation is done using the Metropolis algorithm, which allowed us to study larger lattice sizes. The transition temperature and the critical exponents at zero disorder matched the previous studies within numerical error. We found that the transition temperature of the system decreased as the disorder is increased. The values of critical exponents α and γ were less and value of ν more than the corresponding zero disorder values. The use of large system sizes led to the correct variation of critical exponents with the disorder.