Questions tagged [heisenberg-model]

For questions related to the Heisenberg model Hamiltonian.

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How to choose the values of J and spin parameters in a heterogeneous spin system?

Previous questions (here, here and here) were about modeling magnetic homogeneous systems using Heisenberg and/or Ising hamiltonians: \begin{equation} \tag{Heisenberg} \hat{H}_H=-\sum_{\langle i j\...
13
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2answers
263 views

What are good random number generators for Monte Carlo calculations?

Many problems in Computational Physics need the use of random number generators. When studying magnetic materials using the Heisenberg/Ising hamiltonians (related questions about them can be seen here,...
5
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1answer
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What measured quantity can be associated to the value of the J parameter in the Heisengerg/Ising hamiltonians?

This question is related to other one here in the MatterModelingSE: Is it possible to calculate/estimate the value of the J parameter to be used in the Heisengerg/Ising hamiltonians? Here J is the ...
5
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0answers
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Is it possible to calculate/estimate the value of the J parameter to be used in the Heisengerg/Ising hamiltonians?

Studying magnetic systems, two frequently used approximations are the Heisenberg and Ising models (a discussion about these approximations can be read here): \begin{equation} \tag{Heisenberg} \hat{H}...
12
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1answer
193 views

Is Heisenberg model or in its simplier form Ising model a good approximation to study magnetic systems?

Heisenberg model $$\hat{H}=-\sum_{\langle i j\rangle}J\hat{S}_i\hat{S}_j$$ And in its simplified version, the Ising model $$\hat{H}=-\sum_{\langle ij\rangle}J\hat{S}_i^z\hat{S}_j^z$$ are widely ...
22
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3answers
144 views

What are examples of materials that closely correspond to the Heisenberg model?

I use the antiferromagnetic Heisenberg model all the time: $ H = J \sum \limits_{\langle i,j \rangle} \vec S_i \cdot \vec S_j$ What are some examples of materials that are well-described by this ...