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heisenberg-model-in-two-dimensions-using-monte-carlo-method's Introduction

Heisenberg model in two dimensions using Monte Carlo method of Metropolis–Hastings algorithm

For the Monte Carlo step, generate trial configurations by the Barker-Watts spin rotation [Chem. Phys. Lett. 3 , 144 (1969)] of randomly selected spins with a magnitude of the maximum spin rotation adjusted to ensure half of the trial configurations are rejected in the equilibrium state.

Hamiltonian of the Heisenberg model

image

i and j are lattice indexes in 2D, stands for nearest neighbors.

See also: Physical Review B, 75, 014425 (2007). (*)

The parameters of the model are J-exchange interaction, A - anisotropy, and D - dipolar coupling. The boundary conditions shall be periodic.

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