Ground state of the two-dimensional antiferromagnetic Heisenberg model and the resonating-valence-bond states

Journal Article · Sat Oct 01 04:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.6863· OSTI ID:7063639

Tang, S; Lin, H Q

We have studied the relation between the resonating-valence-bond (RVB) state and the exact ground state for the two-dimensional antiferromagnetic (AF) Heisenberg model on a few small lattices. We describe a method to obtain the state of minimum energy within a family of RVB states. Based on the insight provided by the RVB states, and supported by our numerical results, we argue in favor of the existence of long-range order at T = 0 for the two-dimensional AF Heisenberg model.

• Research Organization: Department of Physics, B-019, University of California, San Diego, La Jolla, California 92093
• OSTI ID: 7063639
• 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

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
ANTIFERROMAGNETISM
CHEMICAL BONDS
CRYSTAL MODELS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENERGY LEVELS
GROUND STATES
HAMILTONIANS
HEISENBERG MODEL
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
QUANTUM OPERATORS
RESONANCE
SUPERCONDUCTIVITY
TWO-DIMENSIONAL CALCULATIONS
VALENCE