The Ising model (or Lenz-Ising model or Ising-Lenz model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states … Zobacz więcej Consider a set $${\displaystyle \Lambda }$$ of lattice sites, each with a set of adjacent sites (e.g. a graph) forming a $${\displaystyle d}$$-dimensional lattice. For each lattice site $${\displaystyle k\in \Lambda }$$ there … Zobacz więcej One of Democritus' arguments in support of atomism was that atoms naturally explain the sharp phase boundaries observed in materials , as when ice melts to water or water turns to … Zobacz więcej The thermodynamic limit exists as long as the interaction decay is $${\displaystyle J_{ij}\sim i-j ^{-\alpha }}$$ with α > 1. • In the case of ferromagnetic interaction $${\displaystyle J_{ij}\sim i-j ^{-\alpha }}$$ with 1 < α < 2, Dyson proved, by comparison … Zobacz więcej In three as in two dimensions, the most studied case of the Ising model is the translation-invariant model on a cubic lattice with nearest-neighbor coupling in the zero … Zobacz więcej The most studied case of the Ising model is the translation-invariant ferromagnetic zero-field model on a d-dimensional lattice, namely, Λ = Z , Jij = 1, h = 0. No phase … Zobacz więcej Definitions The Ising model can often be difficult to evaluate numerically if there are many states in the system. Consider an Ising model with Zobacz więcej • In the ferromagnetic case there is a phase transition. At low temperature, the Peierls argument proves positive magnetization for the nearest neighbor case and then, by the Griffiths inequality, also when longer range interactions are added. … Zobacz więcej Witryna4 kwi 2024 · The evolution of an N spin-1/2 system with all-range Ising-type interaction is considered. For this system we study the entanglement of one spin with the rest spins. It is shown that the entanglement depends on the number of spins and the initial state. Also, the geometry of the manifold, which contains entangled states, is obtained.

Phys. Rev. E 106, 054156 (2024) - Memristive Ising circuits

Witryna27 kwi 2024 · Download PDF Abstract: We study an open Heisenberg XXZ spin chain with long-range Ising-type interaction, which is incoherently driven at its boundaries and therefore a far-from-equilibrium steady state current is induced. Quantum Monte Carlo techniques make a regime accessible, where the system size is large enough to … Witryna1 kwi 2015 · The magnitude of the interactions between the Rydberg atoms is determined by the choice of the excited state, and it can exceed all other relevant energy scales on distances of several micrometers, thereby leading to an ensemble dominated by power-law interactions. The resulting Ising-type Hamiltonian is expected to … thompson and morgan obelisk

Antiferromagnetic Kitaev interaction inJ eff = 1/2 cobalt …

Witryna16 mar 2024 · In some condensed matter systems (for example, certain rare earth compounds), the relativistic spin-orbit interaction makes that spins can only point in … WitrynaLe modèle d'Ising est un modèle de physique statistique. Il a été utilisé pour modéliser différents phénomènes dans lesquels des effets collectifs sont produits par des … Witryna29 sty 2001 · Abstract. We study the entanglement properties of a class of N -qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. … thompson and morgan offer code