Applicability of Ising model on real materials

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SUMMARY

The discussion centers on the application of the 2D Ising model in simulating real materials for a Computational Physics course project. The user faces challenges in formulating a simulation that accurately extracts the magnetization curve M(T,H) from real-life materials. The conversation highlights that while the 2D Ising model is often a simplified framework, transitioning to a 3D model, such as a face-centered cubic (fcc) or body-centered cubic (bcc) lattice, requires complex data structures beyond plain arrays. Additionally, the user notes that magnetic properties of adsorbates on surfaces, such as hydrogen on palladium, can be effectively modeled using the Ising model.

PREREQUISITES
  • Monte Carlo simulation techniques
  • Understanding of the Ising model and its applications
  • Familiarity with lattice structures in computational physics
  • Basic knowledge of magnetic materials and their properties
NEXT STEPS
  • Research the implementation of 3D Ising models using custom data structures
  • Explore the Heisenberg model and its differences from the Ising model
  • Study the adsorption of hydrogen on palladium and its magnetic properties
  • Learn about advanced Monte Carlo methods for simulating magnetic systems
USEFUL FOR

Students in computational physics, researchers in material science, and anyone interested in modeling magnetic properties of materials using the Ising model.

guest1234
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Hi

I chose a Monte Carlo simulation of the 2D Ising model as my Computational Physics course project. Unfortunately, I ran intro problems when formulating the exact problem since my professor probably wants me to simulate a real life material and extract magnetization curve M(T,H) out of it. After doing some superficial research on the topic it has occurred to me that 2D Ising model presented in most MC textbooks is just a toy model/framework that is extended and/or modified according to needs. Physical quantities parametrizing simulations in most examples are just dimensionless ratios..

Problem probably still remains when to introduce naively a third dimension (making lattice primitive cubic). Implementing a fcc/bcc type of lattice in 3D seems quite nontrivial (a custom underlying data structure is needed, plain arrays won't suffice).

Is there any materials whose magnetic properties can be described by 2D/3D Ising model? What about Heisenberg model?

To put things in perspective, 30-50h of programming is expected.
 
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