Monte-Carlo study of the two-dimensional Ising model with long-range Coulomb interaction

Marios Georgiou

National Technical University of Athens, Physics Department, Athens, Greece

We have studied a two-dimensional Ising model with competing nearest-neighbor ferromagnetic interactions and long-range Coulomb antiferromagnetic interactions using Monte-Carlo simulation. We observe two phases in the system, a stripe-ordered phase below the critical temperature Tc and a disordered stripe phase above Tc. We calculate quantities such as the specific heat and the mean energy per spin for a wide temperature range and different values of the strength of the antiferromagnetic interaction. Our analysis suggests that the transition from the stripe-ordered to the disordered stripe phase is first order.

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