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• 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
• 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
WEBIsing (Z. Physik, 31, 253, 1925) introduced a model consisting of a lattice of \spin" variables si, which can only take the values +1 (") and 1 (#). Every spin interacts with its nearest …
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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 …
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WEBThe XY model, which can be obtained from the Heisenberg Hamiltonian by turning ofi the coupling between z spin components, reduces to a free theory of spinless fermions …
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WEBThe model has an interesting phase diagram describing quantum phase transitions (QPTs) belonging to two different universality classes. These are the transverse-field Ising …
WEBRecent experiments have investigated the XY model via its equivalence with the transverse-field Ising model in the large field limit [6] as suggested by a recent theory paper to …
WEBIn particular, if $\beta_c^{XY}$ denotes the inverse temperature at which the Kosterlitz-Thouless phase transition occurs, then $\beta_c^{XY}\geq 2\beta_c^{I}$, where …
WEBThe quantum XY spin chain is a one-dimensional statistical mechanics model used to understand the behavior of materials through their microscopic quantum spins and their …
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Abstract - arXiv.org
WEBthe XY/Ising spin chain in Eq. 3 into a quadratic spinless fermion model: Hb= − XL j=1 (Jx j + J y)ˆc †ˆc +1 + (J x j −J )ˆccˆ + H.c. + XL j=1 h j(2ˆn −1) , (4) where ˆc† j creates a …
Classical Spin Models: An Introduction | SpringerLink
WEBOct 26, 2021 · The model with N = 1 is the Ising model, the model with N = 2 is known as XY model (rotor model), and the model with N = 3 is referred to as O(3)-model or …
WEBFeb 6, 2018 · In this paper, we will focus on employing the rotating-wave approximation to go from the transverse- eld Ising model to the XY model, which is given by the …
What new features does the Heisenberg Model have compared …
WEBSep 15, 2016 · One of the main differences is that the Ising model lies on a discrete symmetry (the $Z_2$ symmetry) while the Heisenberg model lies on a continuous one …
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. In a large transverse field, there is an energy cost …
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 …
WEBSep 21, 2023 · We investigate the dynamical critical behavior of the two- and three-dimensional Ising models with Glauber dynamics in equilibrium. In contrast to the usual …
Relationship between the transverse-field Ising model and the
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 …
Obtaining the Ising and XY model from the XYZ $O(3)$ model
WEBNov 8, 2023 · You cannot get an effective Ising or XY model by just manipulating the terms in your Hamiltonian. The way to get an Ising model is to add a strong term that …
WEBThe two-component cold atom systems with anisotropic hopping amplitudes can be phenomeno-logically described by a two-dimensional Ising-XY coupled model with …
WEBMay 19, 2023 · First, we briefly discuss the short-range model and their Gold-stone modes. Then, we consider the mean-field phases of the long-range model, and construct the …
Ising Model and XY Model - DocsLib
WEBThe Ising model is one of the simplest and most fundamental models of statistical mechanics. It can be used to describe such diverse phenomena as magnets; liquid/gas …
A Note on Ising Network Analysis with Missing Data
WEB2 days ago · The Ising model has become a popular psychometric model for analyzing item response data. The statistical inference of the Ising model is typically carried out …
Emergent topological ordered phase for the Ising-XY Model …
WEBOct 31, 2023 · Emergent topological ordered phase for the Ising-XY Model revealed by cluster-updating Monte-Carlo method. The two-component cold atom systems with …
Translation-invariant Gibbs measures for the Ising-Potts model on …
WEBWe consider a mixed-type model given by the three-state Ising-Potts model on a Cayley tree. A criterion for the existence of limit Gibbs measures for this model on an arbitrary …
WEB4 days ago · Ising model on a cylinder Rafael Leon Greenblatt∗ Dipartimento di Matematica Università degli Studi di Roma “Tor Vergata” Rome, Italy. July 4, 2024 …
Frustrations on Decorated Square Lattice in Ising Model
WEB3 days ago · View PDF HTML (experimental) Abstract: In this paper, we performed the comprehensive studies of frustration properties in the Ising model on a decorated …
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