Some new variational resonating-valence-bond-type wave functions for the spin-1/2 antiferromagnetic Heisenberg model on a square lattice

Journal Article · Mon Jul 18 00:00:00 EDT 1988 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.61.365· OSTI ID:7201675

Liang, S; Doucot, B; Anderson, P W

We consider a class of singlet resonating-valence-bond wave functions on a square lattice, with the bond-length distribution as a variational parameter. This class contains the two limiting cases of the dimer wave function and of the Neel state. We present numerical calculations of the energy and the spin-spin correlation functions up to very large lattice sizes (180 x 180) both for disordered states with exponentially decaying correlation functions and for ordered states. The energy of a disordered state can be within 0.1% of our best ordered state (-0.3344J/bond).

• Research Organization: Joseph Henry Laboratories of Physics, Princeton University, Princeton, New Jersey 08544
• OSTI ID: 7201675
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 61:3
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ANTIFERROMAGNETIC MATERIALS
CORRELATION FUNCTIONS
WAVE FUNCTIONS
SUPERCONDUCTORS
CHEMICAL BONDS
HEISENBERG MODEL
NEEL TEMPERATURE
NUMERICAL SOLUTION
RANDOMNESS
RESONANCE
VARIATIONAL METHODS
CRYSTAL MODELS
FUNCTIONS
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
360204* - Ceramics
Cermets
& Refractories- Physical Properties