Results 31 to 40 of about 146,177 (189)
The critical Z-invariant Ising model via dimers: the periodic case
, 2008 We study a large class of critical two-dimensional Ising models namely critical Z-invariant Ising models on periodic graphs, example of which are the classical square, triangular and honeycomb lattice at the critical temperature.
Boutillier, Cédric +1 more
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Ising’s Roots and the Transfer-Matrix Eigenvalues
EntropyToday, the Ising model is an archetype describing collective ordering processes. As such, it is widely known in physics and far beyond. Less known is the fact that the thesis defended by Ernst Ising 100 years ago (in 1924) contained not only the solution
Reinhard Folk, Yurij Holovatch
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Non-Universal Critical Behaviour of Two-Dimensional Ising Systems
, 2004 Two conditions are derived for Ising models to show non-universal critical behaviour, namely conditions concerning 1) logarithmic singularity of the specific heat and 2) degeneracy of the ground state. These conditions are satisfied with the eight-vertex
Barber M N +13 more
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A general learning scheme for classical and quantum Ising machines
SciPost Physics CoreAn Ising machine is any hardware specifically designed for finding the ground state of the Ising model. Relevant examples are coherent Ising machines and quantum annealers. In this paper, we propose a new machine learning model that is based on the Ising
Ludwig Schmid, Enrico Zardini, Davide Pastorello
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Is Kyle’s Equilibrium Model Stable?
SSRN Electronic Journal, 2023 AbstractIn the dynamic discrete-time trading setting of Kyle (Econometrica 53:1315–1336, 1985), we prove that Kyle’s equilibrium model is stable when there are one or two trading times. For three or more trading times, we prove that Kyle’s equilibrium is not stable.
Cetin, Umut, Larsen, Kasper
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Effective low-energy description of almost Ising-Heisenberg diamond chain
, 2015 We consider a geometrically frustrated spin-1/2 Ising-Heisenberg diamond chain, which is an exactly solvable model when assuming part of the exchange interactions as Heisenberg ones and another part as Ising ones.
Derzhko, Oleg +3 more
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Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy
, 2008 We solve the spin-1 quantum Ising model with single-ion anisotropy by mapping it onto a series of segmented spin-1/2 transverse Ising chains, separated by the $S^z =0$ states called holes.
Dai, Jianhui +3 more
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Quantum correlations in the Kerr Ising model
New Journal of Physics, 2020 In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy ...
M J Kewming, S Shrapnel, G J Milburn
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Mathematics, 2021 A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is ...
Osamu Suzuki, Zhidong Zhang
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IEEE AccessIsing machines are domain-specific computers that solve combinatorial optimization problems (COPs). They utilize an Ising model to represent a COP and search for the optimal spin configuration of the Ising model to solve the COP.
Satoru Jimbo +4 more
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