the ising model exact solutions - Search
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  1. Springer
    https://link.springer.com/chapter/10.1007/978-3-030-28187-8_17

    The Ising Model: Exact Solutions - SpringerLink

    • For \(d > 1\) we expect to find that long-range order (\(\langle \sigma _iz \rangle \)) is nonzero for H and T sufficiently small, as indicated in the left panel of Fig. 17.2. (For a mean-field treatment of this pha… See more

    Duality

    As a prelude to finding the exact solution to this one-dimensional problem, we derive an … See more

    Springer
    Exact Diagonalization

    The Hamiltonian of Eq. (17.26) can be diagonalized exactly by a transformation to fermion operators. However, first, we perform a rotation of the coordinate system in spin spa… See more

    Springer
    Finite Temperature and Order Parameters

    For \(T > 0\), the free energy is As expected, this function is perfectly analytic, except at \(T=0\) (where F is equal to \(E_0\)) and \(J=H\). There are two thermal averages w… See more

    Springer
    Correlation Functions

    It is clear from Fig. 17.3 that neither \(\langle \sigma _ix\rangle \) nor \(\langle \sigma _iz\sigma _{i+1}z\rangle \) is an order parameter in the classic sense used for order–di… See more

    Springer
    4.5: Ising model - Exact and numerical results - Physics LibreT…
    In order to evaluate the main prediction (\(4.4.14\)) of the Weiss theory, let us now discuss the exact (analytical) and quasi-exact (numerical) results obtained for the Ising model, going from the low…
    Physics LibreTexts · https://phys.libretexts.org/…
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    Table of Contents
    Duality
    Exact Diagonalization
    Finite Temperature and Order Parameters
    Correlation Functions
     

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  2. DiVA Portal
    https://www.diva-portal.org/smash/get/diva2:1139470/FULLTEXT01.pdf
    [PDF]

    Exact Solutions of the Ising Model - DiVA

     
  4. Wikipedia
    https://en.wikipedia.org/wiki/Ising_model

    Ising model - Wikipedia

  5. Springer
    https://link.springer.com/content/pdf/10.1007/978-3...
    [PDF]

    The Ising Model: Exact Solutions - Springer

  6. stanford.edu
    http://micro.stanford.edu/~caiwei/me334/Chap12_Ising_Model_v04.pdf
    [PDF]

    Handout 12. Ising Model - Stanford University

  7. Physics LibreTexts
    https://phys.libretexts.org/Bookshelves...

    4.5: Ising model - Exact and numerical results

    WEBSep 20, 2022 · In order to evaluate the main prediction (\(4.4.14\)) of the Weiss theory, let us now discuss the exact (analytical) and quasi-exact (numerical) results obtained for the Ising model, going from the lowest …

  8. stanford.edu
    https://web.stanford.edu/~jeffjar/statmech/intro4.html

    The Ising Model - Stanford University

  9. Institut für Theoretische Physik der Universität Heidelberg
    https://www.thphys.uni-heidelberg.de/~wolschin/statsem21_3s.pdf
    [PDF]

    One- and two-dimensional Ising model - Heidelberg University

  10. Semantic Scholar
    https://www.semanticscholar.org/paper/The-Ising...

    The Ising Model: Exact Solutions - Semantic Scholar

  11. ResearchGate
    https://www.researchgate.net/publication/336245095...

    The Ising Model: Exact Solutions | Request PDF - ResearchGate

  12. arXiv.org
    https://arxiv.org/abs/cond-mat/9511003

    Fifty Years of the Exact Solution of the Two-Dimensional Ising …

  13. MDPI
    https://www.mdpi.com/2073-8994/13/10/1837

    Exact Solution for Three-Dimensional Ising Model - MDPI

  14. BINGWEB
    https://bingweb.binghamton.edu/~suzuki...
    [PDF]

    One dimensional Ising model 11-17-16 - Binghamton University

  15. Cambridge University Press & Assessment
    https://www.cambridge.org/core/books/abs/quantum...

    8 - Exact Solution of the Two–Dimensional Ising Model

  16. Physical Review Link Manager
    https://link.aps.org/doi/10.1103/PhysRevLett.95.245701

    Dynamics of a Quantum Phase Transition: Exact Solution of the …

  17. stanford.edu
    https://www.web.stanford.edu/~jeffjar/statmech/lec4.html

    Solving the 1D Ising Model - Stanford University

  18. Taylor & Francis Online
    https://www.tandfonline.com/doi/full/10.1080/14786430802537738

    Comment on a recent conjectured solution of the three …

  19. Physics Stack Exchange
    https://physics.stackexchange.com/questions/9300

    Why is it hard to solve the Ising-model in 3D?

  20. ResearchGate
    https://www.researchgate.net/publication/49750824

    Boundary conditions and the critical Casimir force on an Ising …

  21. Physical Review Link Manager
    https://link.aps.org/doi/10.1103/PhysRevE.82.041118

    Boundary conditions and the critical Casimir force on an Ising …

  22. arXiv.org
    https://arxiv.org/abs/cond-mat/0509490

    Dynamics of quantum phase transition: exact solution in quantum …

  23. Physical Review Link Manager
    https://link.aps.org/doi/10.1103/PhysRevLett.128.090603

    Entanglement Entropy in the Ising Model with Topological Defects

  24. plos.org
    https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0306319

    On some new travelling wave solutions and dynamical properties …

  25. Nature
    https://www.nature.com/articles/s41467-024-52374-7

    Reducing herbivory in mixed planting by genomic prediction of …