Results 41 to 50 of about 2,455,001 (344)
Ising expansion for the Hubbard model [PDF]
22 pages, 6 Postscript figures ...
Rajiv R. P. Singh, Zhu-Pei Shi
openaire +4 more sources
This chapter provides a general introduction of network modeling in psychometrics. The chapter starts with an introduction to the statistical model formulation of pairwise Markov random fields (PMRF), followed by an introduction of the PMRF suitable for ...
Aggen+80 more
core +1 more source
Nonequilibrium Zaklan model on Apollonian Networks
The Zaklan model had been proposed and studied recently using the equilibrium Ising model on Square Lattices (SL) by Zaklan et al (2008), near the critica temperature of the Ising model presenting a well-defined phase transition; but on normal and ...
André A. Moreira+13 more
core +1 more source
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
doaj +1 more source
The grammar of the Ising model: A new complexity hierarchy [PDF]
How complex is an Ising model? Usually, this is measured by the computational complexity of its ground state energy problem. Yet, this complexity measure only distinguishes between planar and non-planar interaction graphs, and thus fails to capture properties such as the average node degree, the number of long range interactions, or the dimensionality ...
arxiv
Gaps in the Heisenberg-Ising model [PDF]
We report on the closing of gaps in the ground state of the critical Heisenberg-Ising chain at momentum $ $. For half-filling, the gap closes at special values of the anisotropy $ = \cos( /Q)$, $Q$ integer. We explain this behavior with the help of the Bethe Ansatz and show that the gap scales as a power of the system size with variable exponent ...
Rudolf A. Römer+2 more
openaire +3 more sources
A general learning scheme for classical and quantum Ising machines
An 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
doaj +1 more source
Color Representations of Ising Models [PDF]
AbstractIn Steif and Tykesson (J Prob 16:899–955, 2019), the authors introduced the so-called general divide and color models. One of the best-known examples of such a model is the Ising model with external field $$ h = 0 $$ h = 0 , which ...
openaire +2 more sources
Phenomenological renormalizaiton group approach to the anisotropic two-layer Ising model
The anisotropic two-layer Ising model is studied by the phenomenological renormalizaiton group method. It is found that the anisotropic two-layer Ising model with symmetric couplings belongs to the same universality class as the two dimensional Ising ...
Mardani, T., Mirza, B.
core +2 more sources
Ising’s Roots and the Transfer-Matrix Eigenvalues
Today, 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
doaj +1 more source