Lieb–Mattis theorem

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:antiferromagnetic_Heisenberg_model
gptkbp:citation E. Lieb and D. Mattis, J. Math. Phys. 3, 749 (1962)
gptkbp:field condensed matter physics
quantum mechanics
https://www.w3.org/2000/01/rdf-schema#label Lieb–Mattis theorem
gptkbp:namedAfter gptkb:Elliott_H._Lieb
gptkb:Daniel_Mattis
gptkbp:publishedIn gptkb:Journal_of_Mathematical_Physics
gptkbp:relatedTo gptkb:Heisenberg_model
magnetism
quantum spin systems
spin Hamiltonian
gptkbp:sentence The ground state has total spin S = |S_A - S_B|, where S_A and S_B are the total spins of the two sublattices.
The ground state of certain antiferromagnetic spin systems is a singlet.
gptkbp:yearProposed 1962
gptkbp:bfsParent gptkb:Elliott_Lieb
gptkbp:bfsLayer 6