www.nature.com/scientificreports OPEN Point convolutional neural network algorithm for Ising model ground state research based on spring vibration Zhelong Jiang 1,2, Gang Chen 1*, Ruixiu Qiao 1, Pengcheng Feng 1,2, Yihao Chen 1,2, Junjia Su 1,2, Zhiyuan ...
Ising model/ disordered anisotropic +/- J Ising modelantiferromagnetic bondsminimal matchingfrustrated plaquettescubic latticesground stateshoneycomb latticescritical densities/ A0550 Lattice theory and statisticsIn disordered anisotropic square +/- J Ising models SQ( p, q) at groundstates we investigate ...
This transition depends on the time Δt during which the adiabatic change occurs and depends on the minimum energy gap between the ground state and the first excited state of the adiabatic process. When applied to the Ising model, we select the initial Hamiltonian H0=∑iXi, describing the ...
A complete solution of the ground-state problem for the Ising model on an anisotropic triangular lattice with the nearest-neighbor interactions in a magnetic field is presented. It is shown that this problem can be reduced to the ground-state problem for an infinite chain with the interactions ...
Ground-state optimization and hysteretic demagnetization: The random-field Ising model We compare the ground state of the random-field Ising model with Gaussian distributed random fields, with its nonequilibrium hysteretic counterpart, the de... MJ Alava,V Basso,F Colaiori,... - 《Physical Review...
The ground-state entanglement associated with a three-spintransverse Ising model is studied. By introducing an energycurrent into the system, a quantum phase transition toenergy-current phase may be presented with the variation ofexternal magnetic field; and the ground-state entanglementvaries suddenly...
We consider the Ising model with (competing) two-step interactions and spin values ± 1, on a Cayley tree of order k ≥ 1. We constructively describe ground states and verify the Peierls condition for the model. We define notion of a contour for the model on the Cayley tree. Using a ...
However, it has been shown that some exact ground-state properties can be found for infinite strips of finite width with a random distribution of ferromagnetic (+) and antiferromagnetic (—) bonds [1-4]. The essence of the method of calculations used lies in finding all possible configurations...
A frustrated Ising model on a diamond hierarchical lattice is studied. We obtain the exact partition function of this model and calculate the transition te... H Kobayashi,Y Fukumoto,A Oguchi - 《Journal of the Physical Society of Japan》 被引量: 23发表: 2009年 Ground-state phase diagram of...
We investigated a ±J Ising model on an infinite strip of squares of the width of one and two bonds with a random distribution of ferro- and antiferromagnetic exchange interactions. The exact ground-state energy as a function of the concentration of antiferromagnetic bonds was derived and its si...