Applying Ising Model to High Temp Superconductors

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Discussion Overview

The discussion revolves around the applicability of the Ising model to high temperature superconductors (HTSCs). Participants explore whether the model can provide useful insights or results in this context and reference relevant literature.

Discussion Character

  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant expresses curiosity about the application of the Ising model to HTSCs and seeks significant papers on the topic.
  • Another participant doubts the model's applicability, arguing that it is too simplistic and suggesting that the Heisenberg model is generally preferred. They note that the Ising model lacks terms for electron movement, which is critical for describing conducting and superconducting states.
  • A third post introduces a light-hearted comment unrelated to the technical discussion.
  • A later reply asserts that the Ising model has significance in the context of HTSCs, specifically mentioning the two-dimensional asymmetric next-nearest neighbor Ising model (ASYNNNI) as useful for describing oxygen ordering in YBCO-type cuprates.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of the Ising model to high temperature superconductors, with some arguing against its applicability while others highlight its significance in specific contexts. The discussion remains unresolved regarding the overall utility of the model.

Contextual Notes

There are limitations regarding the assumptions made about the Ising model's applicability, particularly in relation to its simplicity and the lack of electron movement terms, which may affect its relevance to superconductivity.

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I am curious to know the Ising model can be applied to high temperature superconducting materials. If so are there any papers significant papers on this subject that I should know about. Thanks to anyone in advance who can answer this question.
 
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I doubt it. The Ising model is too simple to give realistic results, generally people use the Heisenberg model instead. It might be a reasonable approximation for the undoped antiferromagnetic phase of HTSC's but since the Ising model doesn't include any terms for allowingelectrons to move around the lattice, it would not be helpful for describing a conducting state, let alone a superconducting state.

There are several recent papers which calculate exchange constants for the iron arsenide superconductors, such as Phys. Rev. Lett. 102, 107003 (2009).
 
Ising, I sing! How about you? :)
 
Actually the Ising model has quite some significance for the high temperature superconducting materials - though not for a description of high temperature superconductivity. The two dimensional asymmetric next-nearest neighbor Ising model (ASYNNNI) is widely used to describe the oxygen ordering in the YBCO type of high-Tc cuprates. Just do a literature search for it.
 

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