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Classical XY model - Wikipedia
• 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 - Wikipedia
• 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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Critical temperature difference between Ising and XY model
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 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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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 …
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 …
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 …
WEBIn this extended summary of a seminar presentation, the one- and two-dimensional Ising models are presented and main aspects such as phase transitions are discussed. …
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XY model - arXiv.org
WEBThe model has an interesting phase diagram describing quantum phase transitions (QPTs) belonging to two different universality classes. These are the transverse-field Ising …
WEBIn this paper, I explicitly demonstrated the mapping between 0d quantum and 1d classical Ising, 1d quantum and 2d classical XY, and 2d quantum and 3d classical Ising models. …
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 …
Physics 230B - Quantum Field Theory II,
WEBTopics: Kramers-Wannier duality of the Ising model in 2 dimensions; duality between the Ising model and the Z(2) gauge theory on the lattice in 3 dimensions. Some rather old …
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 …
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 …
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 …
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 …
Phase transitions in coupled XY-Ising systems
WEBFeb 25, 1991 · 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 transfer-matrix …
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 …
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