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

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 insi...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Phys. Rev. B: Condens. Matter; (United States) 1988-10, Vol.38 (10), p.6863-6867
Hauptverfasser:	SANYEE TANG, LIN, H. Q
Format:	Artikel
Sprache:	eng
Schlagworte:	656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-) ABSOLUTE ZERO TEMPERATURE ANTIFERROMAGNETISM CHEMICAL BONDS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Condensed matter: electronic structure, electrical, magnetic, and optical properties CRYSTAL MODELS ELECTRIC CONDUCTIVITY ELECTRICAL PROPERTIES ENERGY LEVELS Exact sciences and technology General theory and models of magnetic ordering GROUND STATES HAMILTONIANS HEISENBERG MODEL Magnetic properties and materials MAGNETISM MATHEMATICAL MODELS MATHEMATICAL OPERATORS PHYSICAL PROPERTIES Physics Quantized spin models QUANTUM OPERATORS RESONANCE SUPERCONDUCTIVITY TWO-DIMENSIONAL CALCULATIONS VALENCE
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	0163-1829 1095-3795
DOI:	10.1103/physrevb.38.6863