Curie Temperature 2d-material

[Andres Tellez Mora]

Dear Vampire users.

I have been using Vampire 6.0 to calculate the Curie temperature of a CrBr3 monolayer. Based on the Mermin-Wagner theorem, I believe I should not expect any magnetization at any temperature greater than 0 if I only consider the isotropic exchange. However, I do get some magnetization even after 20 K. I don't know if my system in this case is not truly 2-dimensional or there's something else. I attach the input and output files; notice that even the uniaxial anisotropy is set to 0.

[Richard Evans]

Dear Andres,

The Mermin-Wagner theorem is essentially irrelevant due to finite size effects - see the attached paper. In summary, finite Tc is fully expected for an isotropic 2D material.

All the best,

Richard

https://arxiv.org/abs/2210.04830

On 7 Nov 2022, at 21:08, Andres Tellez Mora <at0...@mix.wvu.edu> wrote:

Dear Vampire users.

I have been using Vampire 6.0 to calculate the Curie temperature of a CrBr3 monolayer. Based on the Mermin-Wagner theorem, I believe I should not expect any magnetization at any temperature greater than 0 if I only consider the isotropic exchange. However, I do get some magnetization even after 20 K. I don't know if my system in this case is not truly 2-dimensional or there's something else. I attach the input and output files; notice that even the uniaxial anisotropy is set to 0.

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