Ising Hamiltonian

GPTKB entity

Statements (31)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkb:meat
gptkbp:application magnetism
phase transitions
optimization problems
quantum annealing
gptkbp:describes interactions between spins
gptkbp:dimensions 3D
2D
1D
gptkbp:field gptkb:statistical_mechanics
gptkb:quantum_computing
condensed matter physics
gptkbp:form H = -J Σ⟨i,j⟩ s_i s_j - h Σ_i s_i
https://www.w3.org/2000/01/rdf-schema#label Ising Hamiltonian
gptkbp:introducedIn 1920
gptkbp:isSolvable exactly in 1D
exactly in 2D (no field)
gptkbp:namedAfter gptkb:Ernst_Ising
gptkb:Wilhelm_Lenz
gptkbp:notSolvable exactly in 3D
gptkbp:parameter J (coupling constant)
h (external magnetic field)
s_i (spin variable)
gptkbp:relatedTo gptkb:Heisenberg_Hamiltonian
gptkb:Potts_model
gptkbp:studiedBy gptkb:Ernst_Ising
gptkb:Wilhelm_Lenz
gptkbp:usedIn gptkb:Ising_model
gptkbp:bfsParent gptkb:Heisenberg_Hamiltonian
gptkbp:bfsLayer 7