Resonating-valence-bond states with antiferromagnetic long-range order

Journal Article · Sat Oct 01 00:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.6813· OSTI ID:7092017

Ma, M

We derive the singlet versions of the Neel states for certain n-sublattice systems, including the two-dimensional square lattice (previously considered by Carlson and Sethna) and the triangular lattice. These states are written explicitly in resonating-valence-bond form through the help of the Young-tableau formalism. Since these states are exact ground states for infinite-range models, they can be used as a test for the fermion and Schwinger boson mean-field theories (MFT). We show that the fermion MFT is incompatible with the ground state, while the boson MFT gives the exact ground state. Implications of the results with respect to the ability of the MFT's to describe antiferromagnetic long-range order are discussed.

• Research Organization: Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221
• OSTI ID: 7092017
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:10; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360104* -- Metals & Alloys-- Physical Properties
ANTIFERROMAGNETIC MATERIALS
DISTANCE
ENERGY LEVELS
GROUND STATES
HAMILTONIANS
HEISENBERG PICTURE
INTERACTION RANGE
INTERACTIONS
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
ORDER PARAMETERS
PARTICLE INTERACTIONS
QUANTUM OPERATORS