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• Ising model at The Net Advance of Physics
• Barry Arthur Cipra, "The Ising model is NP-complete", SIAM News, Vol. 33, No. 6; online edition (.pdf)
• Science World article on the Ising Model
• A dynamical 2D Ising java applet by UCSCWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality.
• Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e. has an upper boundWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
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WEBtuation. Hence the 2D Ising model has a critical temperature T c, below which there is spontaneous magnetization and above which there isn’t. In other words, there is a phase …
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WEBXY model can be represented in terms of these raising and lowering operators. To find the relationship between the transverse-field Ising model and the XY model, we substitute …
WEBXY model. The second part of the paper is devoted to more advanced aspects of the XY model, such as the efiects of anisotropy and study of short, intermediate and long …
WEBBACKGROUND. Classical Spin Chains. Classical spin systems such as the Ising Model and the XY Model are useful for studying magnetism and other material properties. In …
WEBAnton Kabelac. 08.11.2021. Abstract. The Ising model is one of the most important models in statistical physics. It is analytically exactly solvable in one and two dimensions. In this …
WEBOct 26, 2021 · A typical representative of the class of discrete spin models is the ubiquitous Ising model and its generalizations. The target space of the Ising model is the finite …
WEBThis penalty can be employed to relate the transverse-field Ising model in a large field to the $XY$ model in no field (when measurements are performed at the proper …
WEBFeb 6, 2018 · iments have investigated the XY model via its equiva-lence with the transverse eld Ising model in the large eld limit [6] as suggested by a recent theory …
One-way deficit and quantum phase transitions in XY model
WEBNov 29, 2018 · In this paper, we investigate the one-way deficit of two adjacent spins in the bulk of the XY model and the extended Ising model. We find that the one-way deficit …
WEBSecondly, in the anisotropic limit, the spatially anisotropic Ising-XY model is predicted to exhibit an interesting B1(2) phase, characterized by Ising and XY disorder but 2XY (2θ1 …
WEBIsing, 2d XY, and 3d Ising models. These examples respectively illustrate the general features of the classical/quantum correspondence, a Berry phase term, and the role of …
Ising Model and XY Model - DocsLib
WEBIsing model and XY model. 1 Ising Model. The Ising model is one of the simplest and most fundamental models of statistical mechanics. It can be used to describe such diverse …
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XY model - arXiv.org
WEBCritical XY Critical XY XX (γ=0) Ising (γ=1) Ising (γ=-1) Figure 1. (Color online) Criticality of the transverse-field XY model in the (λ,γ) parameter space. The transverse-field Ising …
Relationship between the transverse-field Ising model and the XY …
WEBNov 13, 2017 · Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation. Thomas G. Kiely, J. K. Freericks. In a large …
Critical temperature difference between Ising and XY model
WEBIt is not difficult to prove that the 2-point function of the Ising model is always an upper bound on the corresponding quantity for the XY model. In particular, if denotes the …
2D XY model - The Public's Library and Digital Archive
WEBOct 11, 2015 · Monte-Carlo simulations of spins dynamics in the XY magnetic model. Similar to the Ising model spins with different orientation φ are painted in different colors …
Realizing the classical XY Hamiltonian in polariton simulators
WEBSep 25, 2017 · Many of these problems can be mapped into classical spin models, such as the Ising, the XY or the Heisenberg models, so that optimization problems are reduced …
Phase transitions in coupled XY-Ising systems
WEBFeb 25, 1991 · Abstract. We study the critical behavior of fully frustrated XY and Josephson-junction systems by means of a coupled XY -Ising model. From Monte Carlo and …
WEBSep 22, 2020 · formulation of the transverse eld Ising model in one dimension. Section3treats the ordered case with periodic boundary conditions, where a simple …
On-demand photonic Ising machine with simplified Hamiltonian
WEB1 day ago · As a proof of principle, several 20 and 30-spin Ising problems have been solved with high ground state probability (≥0.97/0.85 for the 20/30-spin Ising model).
Phase diagram of a square lattice model of XY spins with …
WEBAbstract. We study a generalization of the well-known classical two-dimensional square lattice compass model of XY spins (sometimes referred to as the 90 ∘ compass model), …
Phys. Rev. Lett. 132, 210401 (2024) - Robust Spectral …
WEB5 days ago · Motivated by an experiment on a superconducting quantum processor [X. Mi et al., Science 378, 785 (2022).], we study level pairings in the many-body spectrum of the …
[2310.20314] Emergent topological ordered phase for the Ising …
WEBOct 31, 2023 · Abstract: The two-component cold atom systems with anisotropic hopping amplitudes can be phenomenologically described by a two-dimensional Ising-XY …
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