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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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• 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
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 following …
- Author: Thomas G. Kiely, J. K. Freericks
- Publish Year: 2018
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WebThe 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 …
WebThe two-component cold atom systems with anisotropic hopping amplitudes can be phenomeno-logically described by a two-dimensional Ising-XY coupled model with …
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. …
WebNov 29, 2018 · In this paper, we calculate the one-way deficit of the thermal ground states of two adjacent spins in the bulk of the XY model and its extended model, the extended …
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 …
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 …
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 …
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 …
Classical Spin Models: An Introduction | SpringerLink
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 …
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XY model - arXiv.org
WebThe transverse-field XY model in one dimension is a well-known spin model for which the ground state properties and excitation spectrum are known exactly. The model has an …
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 …
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 …
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 …
WebSep 22, 2020 · In particular, we analyse the form of the ground state and excitations of the model, relating them to the symmetry-breaking physics, and illustrate aspects connected …
2D XY model - The Public's Library and Digital Archive
WebOct 11, 2015 · Similar to the Ising model spins with different orientation are painted in different colors . Vortices and anti-vortices correspond to the singular points (defects) …
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 transitions in coupled XY-Ising systems. | Semantic Scholar
WebThis work studies the critical behavior of fully frustrated XY and Josephson-junction systems by means of a coupled XY-Ising model, and finds separate XY and Ising and first-order …
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 …
Relationship between the transverse-field Ising model and the XY …
WebNov 13, 2017 · This 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 right …
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), …
WebWhile the onset of transport anisotropy is well described by an XY model of an electron nematic in the presence of a weak uniform symmetry-breaking term, the low temperature …
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