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Ising model

About: Ising model is a research topic. Over the lifetime, 25508 publications have been published within this topic receiving 555000 citations.


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Journal ArticleDOI
TL;DR: In this paper, it was shown that the cut which is present as the leading singularity in the two-point function of the Ising field theory for $Tl{T}_{c}$ and $H=0$ breaks up into a sequence of poles for $H\ensuremath{ e}0$.
Abstract: We demonstrate that the cut which is present as the leading singularity in the two-point function of the Ising field theory for $Tl{T}_{c}$ and $H=0$ breaks up into a sequence of poles for $H\ensuremath{ e}0$. Both the positions and the residues of the low-lying poles are calculated.

174 citations

Journal ArticleDOI
TL;DR: The tricritical Ising model, considered as coset construction with the exceptional group E 7, is analyzed away from criticality in this paper, and the additional conserved currents of the corresponding Toda system imply the factorization of the S -matrix, explicitly computed.

174 citations

Journal ArticleDOI
TL;DR: It is shown that a method based on logistic regression, using all the data, solves the inverse Ising problem far better than mean-field calculations relying only on sample pairwise correlation functions, while still computationally feasible for hundreds of nodes.
Abstract: We show that a method based on logistic regression, using all the data, solves the inverse Ising problem far better than mean-field calculations relying only on sample pairwise correlation functions, while still computationally feasible for hundreds of nodes. The largest improvement in reconstruction occurs for strong interactions. Using two examples, a diluted Sherrington-Kirkpatrick model and a two-dimensional lattice, we also show that interaction topologies can be recovered from few samples with good accuracy and that the use of l(1) regularization is beneficial in this process, pushing inference abilities further into low-temperature regimes.

174 citations

Journal ArticleDOI
TL;DR: In this article, the authors show that the existence of a conformally invariant twist defect in the critical 3D Ising model is supported by both epsilon expansion and conformal bootstrap calculations.
Abstract: Recent numerical results point to the existence of a conformally invariant twist defect in the critical 3d Ising model. In this note we show that this fact is supported by both epsilon expansion and conformal bootstrap calculations. We find that our results are in good agreement with the numerical data. We also make new predictions for operator dimensions and OPE coefficients from the bootstrap approach. In the process we derive universal bounds on one-dimensional conformal field theories and conformal line defects.

173 citations

Journal ArticleDOI
TL;DR: In this paper, a new type effective field approach is used to derive the thermodynamic properties of the transverse Ising model and the lines of critical points in the Ω-T plane are derived and the critical transverse fields are obtained analytically, for lattices with coordination numbers z = 2, 4 and 6.
Abstract: A new type effective field approach is used to derive the thermodynamical properties of the transverse Ising model. The method is based on an exact formal identity for the two-state transverse Ising model and utilizes an exponential operator technique. The lines of critical points in the Ω-T plane are derived and the critical transverse fields ΩC are obtained analytically, for lattices with coordination numbers z = 2, 4 and 6. This simple method yields results which represent a remarkable improvement on the usual mean field approximation. Our results are also compared with those from series expansion method.

173 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023682
20221,314
2021854
2020947
2019870
2018844