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  4. [PDF] The XY Model in One Dimension | Semantic Scholar

  5. Classical XY model - Wikipedia

  6. People also ask
    Which two-dimensional XY model does not have long-range order?The two-dimensional XY model with nearest-neighbor interactions is an example of a two-dimensional system with continuous symmetry that does not have long-range order as required by the Mermin–Wagner theorem. Likewise, there is not a conventional phase transition present that would be associated with symmetry breaking.
    What is the XY model?The XY model, which can be obtained from the Heisenberg Hamiltonian by turning o® the coupling between z spin components, reduces to a free theory of spinless fermions under the Jordan-Wigner transformations.
    What does = 1 mean in XX model?The line λ = 1 represents criticality of the XY model with universality class the same as that of the transverse-field Ising model. The γ = 0 line (XX model) represents the anisotropy transition line for λ ∈ [0,1] with the transition belonging to a new universality class.
    Which XY model satisfies periodic boundary conditions?The Hamiltonian is translation invariant and satisfies periodic boundary conditions. Two specific cases of the XY model are the transverse field Ising model corresponding to γ = ±1 and the isotropic XX model (γ = 0) in the transverse mag- netic field.
  7. [PDF] Entanglement Spectrum for the XY Model in One …

  8. Scaling transformations and the XY-model (Chapter 4) - Statistical ...

  9. 4.1: Motion in two Dimensions - Physics LibreTexts

    WEBMar 28, 2024 · This means that we can treat motion in two dimensions as two times one-dimensional motion: a motion along \(x\) and a separate motion along \(y\). This highlights the usefulness of the vector notation …

  10. Figure 1 from The XY Model in One Dimension - Semantic Scholar

  11. Quantum Fisher information and coherence in one-dimensional …