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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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TL;DR: In this article, the ground-state energy of integrable 1 + 1 quantum field theories with boundaries is studied, where the boundary is represented by a boundary state, and the thermodynamics involves evaluating scalar products of boundary states with all the states of the theory.
200 citations
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11 Jul 2013
TL;DR: Properties of a group representation of the Cayley tree are described in this article. But the model is not a complete model and there are many variants of the model, such as the Potts Model, the Solid-on-Solid Model, and the Model with Hard Constraints.
Abstract: Properties of a Group Representation of the Cayley Tree Ising Model on Cayley Tree Ising Type Models with Competing Interactions Information Flow on Trees The Potts Model The Solid-on-Solid Model Models with Hard Constraints Potts Model with Countable Set of Spin Values Models with Uncountable Set of Spin Values Contour Arguments on Cayley Trees Other Models.
199 citations
TL;DR: The Ising model is considered in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance, and the phase diagram and the entanglement properties are studied as a function of the exponent of the interaction.
Abstract: We consider the Ising model in a transverse field with long-range antiferromagnetic interactions that decay as a power law with their distance. We study both the phase diagram and the entanglement properties as a function of the exponent of the interaction. The phase diagram can be used as a guide for future experiments with trapped ions. We find two gapped phases, one dominated by the transverse field, exhibiting quasi-long-range order, and one dominated by the long-range interaction, with long-range N\'eel ordered ground states. We determine the location of the quantum critical points separating those two phases. We determine their critical exponents and central charges. In the phase with quasi-long-range order the ground states exhibit exotic corrections to the area law for the entanglement entropy coexisting with gapped entanglement spectra.
199 citations
TL;DR: Van den Broeck et al. as discussed by the authors showed that pure noise-induced reentrant nonequilibrium phase transition in the model introduced in this paper is compatible with those of the Ising universality class.
Abstract: We review a mean-field analysis and give the details of a correlation function approach for spatially distributed systems subject to multiplicative noise, white in space and time. We confirm the existence of a pure noise-induced reentrant nonequilibrium phase transition in the model introduced in @C. Van den Broeck et al., Phys. Rev. Lett. 73, 3395 ~1994!#, give an intuitive explanation of its origin, and present extensive simulations in dimension d52. The observed critical properties are compatible with those of the Ising universality class. @S1063-651X~97!08704-7#
197 citations
TL;DR: In this article, the Kondo problem is shown to be equivalent to the thermodynamics of charged rods moving on a circle, or to that of an Ising model with inverse-square interaction.
Abstract: Nozi\`eres and De Dominicis's one-body theory of the x-ray singularity is extended to the Kondo effect, and also to the finite-etmperature case. The Kondo problem is shown to be equivalent to the thermodynamics of charged rods moving on a circle, or to that of an Ising model with inverse-square interaction.
197 citations