Heisenberg model

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo quantum spin systems
gptkbp:describes magnetism
gptkbp:dimensions can be 1D, 2D, or 3D
gptkbp:field gptkb:statistical_mechanics
condensed matter physics
physics
gptkbp:formedBy 1928
gptkbp:Hamiltonian H = -J Σ S_i · S_j
https://www.w3.org/2000/01/rdf-schema#label Heisenberg model
gptkbp:namedAfter gptkb:Werner_Heisenberg
gptkbp:relatedTo quantum phase transitions
magnetic ordering
gptkbp:solvedExactly 1D case (Bethe ansatz)
gptkbp:spin can be S=1/2 or higher
gptkbp:studies interactions between spins
gptkbp:type quantum mechanical model
gptkbp:usedFor understanding antiferromagnetism
understanding ferromagnetism
gptkbp:variant gptkb:Ising_model
gptkb:XY_model
gptkbp:bfsParent gptkb:Bethe_ansatz
gptkb:Werner_Heisenberg
gptkbp:bfsLayer 4